<script data-pm-proxy="intercept"></script><?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0" xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" xmlns:googleplay="http://www.google.com/schemas/play-podcasts/1.0"><channel><title><![CDATA[Andre’s Substack]]></title><description><![CDATA[My personal Substack]]></description><link>https://andresennaduarte.substack.com</link><image><url>https://substackcdn.com/image/fetch/$s_!aUor!,w_256,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F950cea3e-82c8-40a0-b6ea-b65997a49938_400x400.jpeg</url><title>Andre’s Substack</title><link>https://andresennaduarte.substack.com</link></image><generator>Substack</generator><lastBuildDate>Wed, 02 Sep 2026 03:32:24 GMT</lastBuildDate><atom:link href="/__u/andresennaduarte.substack.com/feed" rel="self" type="application/rss+xml"/><copyright><![CDATA[Andre Senna Duarte]]></copyright><language><![CDATA[en]]></language><webMaster><![CDATA[andresennaduarte@substack.com]]></webMaster><itunes:owner><itunes:email><![CDATA[andresennaduarte@substack.com]]></itunes:email><itunes:name><![CDATA[Andre Senna Duarte]]></itunes:name></itunes:owner><itunes:author><![CDATA[Andre Senna Duarte]]></itunes:author><googleplay:owner><![CDATA[andresennaduarte@substack.com]]></googleplay:owner><googleplay:email><![CDATA[andresennaduarte@substack.com]]></googleplay:email><googleplay:author><![CDATA[Andre Senna Duarte]]></googleplay:author><itunes:block><![CDATA[Yes]]></itunes:block><item><title><![CDATA[Estado do Rio de Janeiro: Baixadas Litorâneas ]]></title><description><![CDATA[Uma avalia&#231;&#227;o do quadro e dos desafios econ&#244;micos]]></description><link>https://andresennaduarte.substack.com/p/estado-do-rio-de-janeiro-baixadas</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/estado-do-rio-de-janeiro-baixadas</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Fri, 21 Aug 2026 12:26:14 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!LubL!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p><strong><span>Introdu&#231;&#227;o</span></strong></p><p class="button-wrapper" data-attrs="{&quot;url&quot;:&quot;https://andresennaduarte.substack.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe now&quot;,&quot;action&quot;:null,&quot;class&quot;:null}" data-component-name="ButtonCreateButton"><a class="button primary" href="/__u/andresennaduarte.substack.com/subscribe"><span>Subscribe now</span></a></p><p>A regi&#227;o das Baixadas Litor&#226;neas no estado do Rio de Janeiro atravessa um momento particularmente distinto do restante do Estado. Enquanto o conjunto do Estado apresenta estabilidade populacional e crescimento econ&#244;mico modesto, esta regi&#227;o que engloba pouco menos de 6% da popula&#231;&#227;o total encontra-se em forte crescimento, vem sendo um atrator importante de popula&#231;&#227;o e apresenta melhores contas p&#250;blicas combinada com capacidade de investimento.</p><p>Em linhas gerais e com algumas exce&#231;&#245;es a serem comentadas ao longo do texto, os dez munic&#237;pios que comp&#245;em a regi&#227;o segundo a classifica&#231;&#227;o do CEPERJ (Araruama, Arma&#231;&#227;o dos B&#250;zios, Arraial do Cabo, Cabo Frio, Casimiro de Abreu, Iguaba Grande, Rio das Ostras, S&#227;o Pedro da Aldeia, Saquarema e Silva Jardim) vivem um ciclo de expans&#227;o que remete ao movimento observado nas cidades produtoras do Norte Fluminense h&#225; duas d&#233;cadas.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!LubL!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!LubL!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png 424w, /__u/substackcdn.com/image/fetch/$s_!LubL!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png 848w, /__u/substackcdn.com/image/fetch/$s_!LubL!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png 1272w, /__u/substackcdn.com/image/fetch/$s_!LubL!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!LubL!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png" width="906" height="657" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png 424w, /__u/substackcdn.com/image/fetch/$s_!LubL!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png 848w, /__u/substackcdn.com/image/fetch/$s_!LubL!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png 1272w, /__u/substackcdn.com/image/fetch/$s_!LubL!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F54833dc9-ec96-406d-b5a7-04d5284b1386_906x657.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A causa central desse movimento j&#225; &#233; conhecida, mas conv&#233;m revisitar. O avan&#231;o da produ&#231;&#227;o de petr&#243;leo em campos mar&#237;timos confrontantes com a regi&#227;o alterou de forma substancial o patamar de receita p&#250;blica e as perspectivas econ&#244;micas de v&#225;rios desses munic&#237;pios. No entanto, trata-se de um quadro mais complexo que isto pois ao mesmo tempo que a produ&#231;&#227;o na regi&#227;o cresce com velocidade, em alguns munic&#237;pios, mais ao norte, o oposto ocorre. Al&#233;m disso, h&#225; outros vetores econ&#244;micos que demandam an&#225;lise como o turismo.</p><p>Esta nota examina tamb&#233;m os dois elos mais fr&#225;geis da economia regional: a agropecu&#225;ria e a ind&#250;stria (com exce&#231;&#227;o de Rio das Ostras) e encerra com uma an&#225;lise do quadro de seguran&#231;a p&#250;blica, que se revela um contraponto necess&#225;rio ao maior dinamismo econ&#244;mico.</p><p></p><p><strong><span>1. Crescimento Populacional</span></strong></p><p></p><p>O primeiro dado que merece destaque &#233; de natureza demogr&#225;fica. Entre os censos de 2010 e 2022, a popula&#231;&#227;o das Baixadas Litor&#226;neas cresceu 23,9%, taxa muito superior &#224; das demais sete regi&#245;es de governo do estado e mais que o triplo da segunda colocada, o Norte Fluminense (8,4%). A t&#237;tulo de compara&#231;&#227;o, a regi&#227;o Metropolitana registrou perda populacional no per&#237;odo (-1,8%).</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!AKjK!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3895a317-2d20-414b-b9b0-58d86bf2c12f_863x576.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!AKjK!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3895a317-2d20-414b-b9b0-58d86bf2c12f_863x576.png 424w, /__u/substackcdn.com/image/fetch/$s_!AKjK!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3895a317-2d20-414b-b9b0-58d86bf2c12f_863x576.png 848w, /__u/substackcdn.com/image/fetch/$s_!AKjK!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3895a317-2d20-414b-b9b0-58d86bf2c12f_863x576.png 1272w, /__u/substackcdn.com/image/fetch/$s_!AKjK!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3895a317-2d20-414b-b9b0-58d86bf2c12f_863x576.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!AKjK!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3895a317-2d20-414b-b9b0-58d86bf2c12f_863x576.png" width="863" height="576" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3895a317-2d20-414b-b9b0-58d86bf2c12f_863x576.png 1272w, /__u/substackcdn.com/image/fetch/$s_!AKjK!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3895a317-2d20-414b-b9b0-58d86bf2c12f_863x576.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>O avan&#231;o populacional da regi&#227;o decorre sobretudo do fluxo migrat&#243;rio. A hip&#243;tese mais consistente, &#224; luz do que se apresenta a seguir, &#233; que parcela relevante desse fluxo est&#225; associada &#224; economia do petr&#243;leo: postos de trabalho diretos e indiretos na cadeia offshore, obras vinculadas &#224; produ&#231;&#227;o e o efeito-renda gerado pelos royalties, que se transmite &#224;s finan&#231;as municipais e, por essa via, &#224; economia local. Neste sentido, destaca-se o forte crescimento das contrata&#231;&#245;es do setor p&#250;blico no per&#237;odo, fen&#244;meno este similar ao que foi documentando no norte do Estado nas d&#233;cadas anteriores.</p><p></p><p><strong><span>2. O Recente Crescimento na Produ&#231;&#227;o de Petr&#243;leo</span></strong></p><p><strong><span>[Imagem 3: produ&#231;&#227;o de petr&#243;leo consolidada, 1997&#8211;2026]</span></strong></p><p>A produ&#231;&#227;o consolidada de petr&#243;leo da Baixada Litor&#226;nea manteve-se relativamente est&#225;vel entre 2008 e 2018, oscilando em torno de 400 mil barris/dia. No entanto, com a descoberta do pr&#233;-sal e a posterior produ&#231;&#227;o na bacia de santos, a partir de 2018, a trajet&#243;ria se altera de forma expressiva: em menos de oito anos, a produ&#231;&#227;o deu um salto, superando 1,5 milh&#227;o de barris/dia. A perspectiva para os pr&#243;ximos anos &#233; positiva e a expans&#227;o da produ&#231;&#227;o dever&#225; continuar at&#233; 2030.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!knMj!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!knMj!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png 424w, /__u/substackcdn.com/image/fetch/$s_!knMj!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png 848w, /__u/substackcdn.com/image/fetch/$s_!knMj!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png 1272w, /__u/substackcdn.com/image/fetch/$s_!knMj!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!knMj!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png" width="1115" height="612" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:612,&quot;width&quot;:1115,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:33828,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/212139566?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!knMj!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png 424w, /__u/substackcdn.com/image/fetch/$s_!knMj!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png 848w, /__u/substackcdn.com/image/fetch/$s_!knMj!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png 1272w, /__u/substackcdn.com/image/fetch/$s_!knMj!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7be0320b-29ba-4fe3-b72c-e9046945c18b_1115x612.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>[Imagem 4: produ&#231;&#227;o por munic&#237;pio, escalas livres]</span></strong></p><p>No entanto, a observa&#231;&#227;o do dado consolidado de produ&#231;&#227;o n&#227;o mostra uma divis&#227;o relevante no interior da pr&#243;pria regi&#227;o. Ao desagregar a produ&#231;&#227;o por munic&#237;pio, verifica-se que o ciclo recente de crescimento concentra-se essencialmente em tr&#234;s localidades: Saquarema, Araruama e Arraial do Cabo. Os tr&#234;s munic&#237;pios praticamente n&#227;o produziam petr&#243;leo at&#233; o in&#237;cio da d&#233;cada passada. A partir de 2018-2020, no entanto, estas cidades ingressaram em trajet&#243;ria de crescimento exponencial com destaque para Saquarema que j&#225; ultrapassa 750 mil barris/dia, tornando-se o maior produtor da regi&#227;o na atualidade.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!pdxV!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!pdxV!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png 424w, /__u/substackcdn.com/image/fetch/$s_!pdxV!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png 848w, /__u/substackcdn.com/image/fetch/$s_!pdxV!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png 1272w, /__u/substackcdn.com/image/fetch/$s_!pdxV!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!pdxV!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png" width="1377" height="718" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/cce44302-4aa6-4467-9250-39517f882474_1377x718.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:718,&quot;width&quot;:1377,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:141441,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/212139566?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!pdxV!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png 424w, /__u/substackcdn.com/image/fetch/$s_!pdxV!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png 848w, /__u/substackcdn.com/image/fetch/$s_!pdxV!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png 1272w, /__u/substackcdn.com/image/fetch/$s_!pdxV!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcce44302-4aa6-4467-9250-39517f882474_1377x718.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>O quadro observado nos demais munic&#237;pios &#233; diametralmente oposto. Rio das Ostras, que foi o principal polo produtor da regi&#227;o nos anos 2000 e chegou a superar 200 mil barris/dia, encontra-se em decl&#237;nio desde ent&#227;o, produzindo hoje uma fra&#231;&#227;o daquele volume. Cabo Frio segue padr&#227;o semelhante, com pico em meados dos anos 2000 e patamar atual bem inferior ao observado quinze anos atr&#225;s. Casimiro de Abreu e Arma&#231;&#227;o dos B&#250;zios apresentam produ&#231;&#227;o est&#225;vel ou em leve queda, sem sinal do ciclo de expans&#227;o recente.</p><p>A regi&#227;o, portanto, est&#225; em expans&#227;o como um todo, mas o eixo produtivo se deslocou conforme ocorreu a ascens&#227;o da bacia de santos e o decl&#237;nio da bacia de campos (que se localiza mais ao norte do Estado), o que traz implica&#231;&#245;es fiscais e de planejamento relevantes.</p><p></p><p><strong><span>3. Royalties e Participa&#231;&#245;es Especiais e o caso da zona secund&#225;ria</span></strong></p><p></p><p>A despeito da concentra&#231;&#227;o da produ&#231;&#227;o f&#237;sica no litoral, a receita de royalties e de participa&#231;&#227;o especial n&#227;o se restringe &#224;queles que produzem. Nos dez munic&#237;pios da regi&#227;o, h&#225; receita de petr&#243;leo relevante mesmo que em alguns casos estagnado ou em ligeiro decl&#237;nio. Trata-se do caso dos munic&#237;pios que recebem receitas do petr&#243;leo em raz&#227;o de serem zonas secund&#225;rias impactadas pela explora&#231;&#227;o. No entanto, &#233; importante ressaltar que h&#225; diferen&#231;as importantes em termos de n&#237;veis de arrecada&#231;&#227;o com as receitas de petr&#243;leo entre os munic&#237;pios.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!k9WK!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!k9WK!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png 424w, /__u/substackcdn.com/image/fetch/$s_!k9WK!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png 848w, /__u/substackcdn.com/image/fetch/$s_!k9WK!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png 1272w, /__u/substackcdn.com/image/fetch/$s_!k9WK!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!k9WK!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png" width="1365" height="722" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png 424w, /__u/substackcdn.com/image/fetch/$s_!k9WK!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png 848w, /__u/substackcdn.com/image/fetch/$s_!k9WK!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png 1272w, /__u/substackcdn.com/image/fetch/$s_!k9WK!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F39335100-b84f-4efe-83e5-d2b3cc525336_1365x722.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Como esperado, o grau de depend&#234;ncia dessa receita varia de forma acentuada. Entres fontes de arrecada&#231;&#227;o principais podem ser consideradas externas ao munic&#237;pio: a quota-parte correspondente do ICMS, o Fundo de Participa&#231;&#227;o dos Munic&#237;pios (FPM) e as receitas do petr&#243;leo. Na composi&#231;&#227;o dessas<span> </span>recebidas em 2025, Arraial do Cabo e Saquarema chegam a extrair mais de 70% a 80%, com as receitas do petr&#243;leo isoladamente respondendo por 55 a 60 pontos percentuais. No extremo oposto, Rio das Ostras e S&#227;o Pedro da Aldeia dependem menos desta receita.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!NG6R!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!NG6R!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png 424w, /__u/substackcdn.com/image/fetch/$s_!NG6R!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png 848w, /__u/substackcdn.com/image/fetch/$s_!NG6R!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png 1272w, /__u/substackcdn.com/image/fetch/$s_!NG6R!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!NG6R!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png" width="1246" height="722" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png 424w, /__u/substackcdn.com/image/fetch/$s_!NG6R!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png 848w, /__u/substackcdn.com/image/fetch/$s_!NG6R!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png 1272w, /__u/substackcdn.com/image/fetch/$s_!NG6R!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4498b201-8b05-4ec0-a893-5f4a369e84b5_1246x722.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Merece explica&#231;&#227;o &#224; parte o caso de Silva Jardim, munic&#237;pio da regi&#227;o que se encontra mais ao interior, mas que ainda assim recebe royalties relevantes, hoje em torno de 40% de sua receita corrente. Tal situa&#231;&#227;o decorre de sua classifica&#231;&#227;o, desde 2007, pela ANP, como munic&#237;pio de zona secund&#225;ria de produ&#231;&#227;o (classifica&#231;&#227;o PMCRP), crit&#233;rio que estende o pagamento de royalties a munic&#237;pios cuja localiza&#231;&#227;o geogr&#225;fica os situa na &#225;rea de influ&#234;ncia dos campos produtores, ainda que sem confronta&#231;&#227;o direta com o mar. </p><p></p><p><strong><span>4. O quadro fiscal favor&#225;vel e a exce&#231;&#227;o de Cabo Frio</span></strong></p><p>A bonan&#231;a de receita se refletiu, na maior parte da regi&#227;o, em situa&#231;&#227;o fiscal mais confort&#225;vel especialmente se compararmos com as demais regi&#245;es do estado. Na rela&#231;&#227;o entre d&#237;vida consolidada l&#237;quida e Receita Corrente L&#237;quida (RCL), nove dos dez munic&#237;pios apresentam indicador negativo, isto &#233;, disp&#245;em de mais caixa e ativos financeiros l&#237;quidos do que d&#237;vida, configurando uma maior flexibilidade fiscal. Saquarema representa o caso mais extremo, com d&#237;vida l&#237;quida negativa equivalente a mais de 120% da RCL.<span> </span>Arraial do Cabo, Araruama e Silva Jardim tamb&#233;m apresentam folga consider&#225;vel.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!IvKW!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5b062870-7f17-4b67-a012-e6d0cc8095e4_855x527.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!IvKW!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5b062870-7f17-4b67-a012-e6d0cc8095e4_855x527.png 1272w, /__u/substackcdn.com/image/fetch/$s_!IvKW!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5b062870-7f17-4b67-a012-e6d0cc8095e4_855x527.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A exce&#231;&#227;o &#233; Cabo Frio, &#250;nico munic&#237;pio da regi&#227;o com d&#237;vida consolidada l&#237;quida positiva e relevante. Trata-se de um contraste digno de nota, na medida em que Cabo Frio &#233; o munic&#237;pio mais populoso e um dos polos hist&#243;ricos da regi&#227;o: sua produ&#231;&#227;o de petr&#243;leo encontra-se em fase madura e declinante, conforme discutido na se&#231;&#227;o 2. Al&#233;m disso, a desorganiza&#231;&#227;o na administra&#231;&#227;o municipal levou a decreta&#231;&#227;o de estado de calamidade pelas contas p&#250;blicas no in&#237;cio de 2025. O caso de Cabo Frio merece acompanhamento espec&#237;fico para que se encontre solu&#231;&#245;es e aprendizados para os demais munic&#237;pios da regi&#227;o.</p><p></p><p><strong><span>5. Recursos dispon&#237;veis mas instrumentos pouco efetivos para implementa&#231;&#227;o dos investimentos</span></strong></p><p>O retrato que se desenha at&#233; aqui &#233; o de uma regi&#227;o com disponibilidade de caixa, com a maioria dos munic&#237;pios em situa&#231;&#227;o fiscal com capacidade de investimento. No entanto, cada prefeitura decide isoladamente a aplica&#231;&#227;o de seus recursos, e n&#227;o existe, hoje, nenhuma inst&#226;ncia que coordene e integre os recursos e as prioridades regionais em &#225;reas como mobilidade, saneamento, res&#237;duos s&#243;lidos, atra&#231;&#227;o de investimento ou promo&#231;&#227;o tur&#237;stica conjunta.</p><p>H&#225;, formalmente, uma iniciativa rente de cons&#243;rcio intermunicipal na regi&#227;o (CONDERLAGOS). Na pr&#225;tica, contudo, esse cons&#243;rcio nasceu com mandato demasiado gen&#233;rico, sem foco setorial definido e sem pauta de investimentos clara, o que tem comprometido sua capacidade de sair do papel. Um cons&#243;rcio com objeto espec&#237;fico, voltado a mobilidade e infraestrutura vi&#225;ria, por exemplo, ou a saneamento, tende a apresentar capacidade de execu&#231;&#227;o muito superior &#224; de um cons&#243;rcio de desenvolvimento regional gen&#233;rico, desprovido de instrumentos concretos de governan&#231;a e de financiamento compartilhado.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!HyNE!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!HyNE!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png 424w, /__u/substackcdn.com/image/fetch/$s_!HyNE!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png 848w, /__u/substackcdn.com/image/fetch/$s_!HyNE!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png 1272w, /__u/substackcdn.com/image/fetch/$s_!HyNE!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!HyNE!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png" width="1172" height="508" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png 424w, /__u/substackcdn.com/image/fetch/$s_!HyNE!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png 848w, /__u/substackcdn.com/image/fetch/$s_!HyNE!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png 1272w, /__u/substackcdn.com/image/fetch/$s_!HyNE!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d251cf3-6ab8-43d4-8b6a-7270d000e796_1172x508.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Vejamos a quest&#227;o da infraestrutura rodovi&#225;ria, assunto cr&#237;tico para a regi&#227;o. O diagn&#243;stico das rodovias da regi&#227;o evidencia um contraste importante: a Via Lagos (RJ-124), concedida &#224; CCR, encontra-se em bom estado de conserva&#231;&#227;o, sendo a &#250;nica via pedagiada da regi&#227;o. As rodovias n&#227;o concedidas, a saber, RJ-106, a rodovia litor&#226;nea (RJ-102), RJ-138 e RJ-140 que ligam Silva Jardim a Araruama e Cabo Frio respectivamente, apresentam estado preocupante de conserva&#231;&#227;o, al&#233;m de defici&#234;ncias de ilumina&#231;&#227;o em trechos urbanos e problemas recorrentes de seguran&#231;a vi&#225;ria.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!P7P9!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fadcc4b5c-a9be-4c80-a013-7289025fa874_1212x621.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!P7P9!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fadcc4b5c-a9be-4c80-a013-7289025fa874_1212x621.png 1272w, /__u/substackcdn.com/image/fetch/$s_!P7P9!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fadcc4b5c-a9be-4c80-a013-7289025fa874_1212x621.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A depend&#234;ncia da Via lagos &#233; um problema a parte na regi&#227;o. A tarifa da Via Lagos, em termos proporcionais &#233; extremamente elevada e compara-se aquando medida em termos de tarifa por Km a Ponte Rio-Niter&#243;i, local onde os investimentos necess&#225;rios s&#227;o naturalmente muito maiores. Al&#233;m disso, para salientar esta quest&#227;o, o trafego na Via Lagos teve forte expans&#227;o em per&#237;odo que coincide com a ascens&#227;o da produ&#231;&#227;o de petr&#243;leo na regi&#227;o. Com isso, a receita da Via Lagos teve impressionante expans&#227;o em um per&#237;odo curto de tempo. Este custo desmedido e injustific&#225;vel tem sido quest&#227;o recorrente para regi&#227;o.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!meLa!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!meLa!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png 424w, /__u/substackcdn.com/image/fetch/$s_!meLa!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png 848w, /__u/substackcdn.com/image/fetch/$s_!meLa!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png 1272w, /__u/substackcdn.com/image/fetch/$s_!meLa!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!meLa!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png" width="858" height="522" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png 424w, /__u/substackcdn.com/image/fetch/$s_!meLa!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png 848w, /__u/substackcdn.com/image/fetch/$s_!meLa!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png 1272w, /__u/substackcdn.com/image/fetch/$s_!meLa!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa412988d-56f1-404b-a30c-7027c893b53c_858x522.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>6. Turismo: Uma das Vantagens Comparativas da Regi&#227;o</span></strong></p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!vt58!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!vt58!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png 424w, /__u/substackcdn.com/image/fetch/$s_!vt58!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png 848w, /__u/substackcdn.com/image/fetch/$s_!vt58!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png 1272w, /__u/substackcdn.com/image/fetch/$s_!vt58!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!vt58!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png" width="1163" height="692" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:692,&quot;width&quot;:1163,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:40630,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/212139566?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!vt58!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png 424w, /__u/substackcdn.com/image/fetch/$s_!vt58!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png 848w, /__u/substackcdn.com/image/fetch/$s_!vt58!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png 1272w, /__u/substackcdn.com/image/fetch/$s_!vt58!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F01da88ba-5e68-4132-a02c-79f9e004b568_1163x692.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Os dados da RAIS at&#233; 2024 mostram que o emprego formal nas Baixadas Litor&#226;neas cresce consistentemente acima do estado desde 2010, com acelera&#231;&#227;o especialmente relevante a partir de 2020, coincidindo com o novo ciclo de produ&#231;&#227;o petrol&#237;fera. Uma outra observa&#231;&#227;o &#233; que a composi&#231;&#227;o setorial deste crescimento, mostra que os setores de servi&#231;os e de administra&#231;&#227;o p&#250;blica predominam no emprego formal da regi&#227;o em rela&#231;&#227;o ao restante do Estado.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!5ZyZ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc49fd36e-1a15-4ff0-acbb-cae505dc418b_1185x600.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!5ZyZ!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc49fd36e-1a15-4ff0-acbb-cae505dc418b_1185x600.png 424w, /__u/substackcdn.com/image/fetch/$s_!5ZyZ!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc49fd36e-1a15-4ff0-acbb-cae505dc418b_1185x600.png 848w, /__u/substackcdn.com/image/fetch/$s_!5ZyZ!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc49fd36e-1a15-4ff0-acbb-cae505dc418b_1185x600.png 1272w, 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc49fd36e-1a15-4ff0-acbb-cae505dc418b_1185x600.png 424w, /__u/substackcdn.com/image/fetch/$s_!5ZyZ!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc49fd36e-1a15-4ff0-acbb-cae505dc418b_1185x600.png 848w, /__u/substackcdn.com/image/fetch/$s_!5ZyZ!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc49fd36e-1a15-4ff0-acbb-cae505dc418b_1185x600.png 1272w, /__u/substackcdn.com/image/fetch/$s_!5ZyZ!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc49fd36e-1a15-4ff0-acbb-cae505dc418b_1185x600.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Em compara&#231;&#227;o com o restante do estado, a regi&#227;o apresenta peso de com&#233;rcio acima da m&#233;dia (cerca de 22% do emprego formal, ante 18% no restante do RJ) e participa&#231;&#227;o elevada de administra&#231;&#227;o p&#250;blica, reflexo do pr&#243;prio efeito dos royalties sobre o dimensionamento do setor p&#250;blico municipal, em detrimento de uma participa&#231;&#227;o industrial proporcionalmente menor que a do restante do estado. Essa composi&#231;&#227;o setorial, marcada por forte presen&#231;a de com&#233;rcio e servi&#231;os e reduzida presen&#231;a industrial, &#233; compat&#237;vel com uma economia orientada ao turismo.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!mSoE!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F89de1e11-6049-485f-89f0-13a0e3e81a63_1070x536.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!mSoE!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/substackcdn.com/image/fetch/$s_!mSoE!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F89de1e11-6049-485f-89f0-13a0e3e81a63_1070x536.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!mSoE!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F89de1e11-6049-485f-89f0-13a0e3e81a63_1070x536.png" width="1070" height="536" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F89de1e11-6049-485f-89f0-13a0e3e81a63_1070x536.png 424w, /__u/substackcdn.com/image/fetch/$s_!mSoE!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F89de1e11-6049-485f-89f0-13a0e3e81a63_1070x536.png 848w, /__u/substackcdn.com/image/fetch/$s_!mSoE!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F89de1e11-6049-485f-89f0-13a0e3e81a63_1070x536.png 1272w, /__u/substackcdn.com/image/fetch/$s_!mSoE!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F89de1e11-6049-485f-89f0-13a0e3e81a63_1070x536.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Os dados da RAIS confirmam essa voca&#231;&#227;o, ainda que de forma desigual entre os munic&#237;pios. Arma&#231;&#227;o dos B&#250;zios &#233;, com ampla margem, o munic&#237;pio mais especializado em turismo da regi&#227;o, com quase um ter&#231;o do emprego formal vinculado ao setor. Arraial do Cabo, Cabo Frio, Rio das Ostras e Saquarema formam um segundo grupo, com participa&#231;&#227;o entre 6% e 10%, relevante, mas substancialmente inferior &#224; de B&#250;zios.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!8H2K!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc52c1ddb-22f3-4533-ac42-b065b04b0cc6_1502x732.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!8H2K!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc52c1ddb-22f3-4533-ac42-b065b04b0cc6_1502x732.png 1272w, /__u/substackcdn.com/image/fetch/$s_!8H2K!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc52c1ddb-22f3-4533-ac42-b065b04b0cc6_1502x732.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>O retrato institucional refor&#231;a essa observa&#231;&#227;o: todos os dez munic&#237;pios integram o Mapa do Turismo do MTur, e a maioria apresenta perfil litor&#226;neo, de sol e praia, com a exce&#231;&#227;o justamente de Silva Jardim, classificado como munic&#237;pio de interior voltado ao ecoturismo, integrante da governan&#231;a regional Caminhos da Mata. Trata-se de um lembrete de que a voca&#231;&#227;o tur&#237;stica da regi&#227;o n&#227;o se limita &#224;s praias: Silva Jardim abriga a Reserva Biol&#243;gica de Po&#231;o das Antas, uma das principais unidades de conserva&#231;&#227;o do Estado, ativo de ecoturismo ainda pouco explorado em compara&#231;&#227;o ao eixo litor&#226;neo.</p><p>A necessidade de maiores investimentos no meio ambiente e nas certifica&#231;&#245;es segue presente. O selo Bandeira Azul mostra que enquanto B&#250;zios possui quatro praias certificadas, seguida por Cabo Frio e Saquarema, com tr&#234;s cada, Araruama, Casimiro de Abreu e Silva Jardim n&#227;o possuem nenhuma praia certificada.</p><p>Um fato recente com potencial para alterar a equa&#231;&#227;o tur&#237;stica da regi&#227;o &#233; a retomada de voos regulares da Latam para o Aeroporto Internacional de Cabo Frio vindo de Guarulhos. Cabo Frio &#233; o &#250;nico munic&#237;pio dotado de aeroporto em opera&#231;&#227;o, ativo que, se bem aproveitado, pode reposicionar toda a Baixada Litor&#226;nea no mapa do turismo receptivo nacional e internacional, reduzindo a depend&#234;ncia quase exclusiva do acesso rodovi&#225;rio, e, por consequ&#234;ncia, da pr&#243;pria Via Lagos. Trata-se de elemento que se articula diretamente com a l&#243;gica de investimento regional.</p><p></p><p><strong><span>7. Agropecu&#225;ria: baixo dinamismo da regi&#227;o</span></strong></p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!GKwX!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!GKwX!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png 424w, /__u/substackcdn.com/image/fetch/$s_!GKwX!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png 848w, /__u/substackcdn.com/image/fetch/$s_!GKwX!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png 1272w, /__u/substackcdn.com/image/fetch/$s_!GKwX!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!GKwX!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png" width="1456" height="750" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png 424w, /__u/substackcdn.com/image/fetch/$s_!GKwX!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png 848w, /__u/substackcdn.com/image/fetch/$s_!GKwX!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png 1272w, /__u/substackcdn.com/image/fetch/$s_!GKwX!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F91dba6b5-1c62-44a9-bb16-17e4f81ce81d_1500x773.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Antes de tratar da agropecu&#225;ria propriamente dita, conv&#233;m situar a regi&#227;o no conjunto da especializa&#231;&#227;o produtiva do estado. O quociente locacional  do emprego (QL) de agropecu&#225;ria das Baixadas Litor&#226;neas &#233; de 1,9, indicando especializa&#231;&#227;o moderada, mas muito inferior &#224; observada em regi&#245;es como o Noroeste Fluminense (7,3) ou a Serrana (8,0). Este &#237;ndice mostra que, se maior que 1, o munic&#237;pio tem mais emprego formal naquele setor proporcionalmente do que o restante do Estado. Trata-se do retrato de uma regi&#227;o com alguma voca&#231;&#227;o agr&#237;cola, ainda que n&#227;o compar&#225;vel &#224;s regi&#245;es tradicionalmente rurais do estado.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!7QUw!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbb3fce81-c9c7-49b2-a0aa-29e4da525862_1091x627.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!7QUw!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbb3fce81-c9c7-49b2-a0aa-29e4da525862_1091x627.png 1272w, /__u/substackcdn.com/image/fetch/$s_!7QUw!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbb3fce81-c9c7-49b2-a0aa-29e4da525862_1091x627.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Os dados de produtividade refor&#231;am essa leitura de um setor aqu&#233;m de seu potencial. Em praticamente todos os principais produtos cultivados na regi&#227;o, a saber, cana-de-a&#231;&#250;car, abacaxi, mandioca, batata-doce e melancia, o rendimento m&#233;dio situa-se abaixo da m&#233;dia nacional, por vezes de forma expressiva. As exce&#231;&#245;es s&#227;o o milho e o feij&#227;o, produtos em que a diferen&#231;a em rela&#231;&#227;o &#224; m&#233;dia nacional &#233; pequena, embora sejam justamente os de menor relev&#226;ncia econ&#244;mica para a regi&#227;o.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!GM3r!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!GM3r!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png 424w, /__u/substackcdn.com/image/fetch/$s_!GM3r!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png 848w, /__u/substackcdn.com/image/fetch/$s_!GM3r!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png 1272w, /__u/substackcdn.com/image/fetch/$s_!GM3r!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!GM3r!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png" width="1288" height="682" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png 424w, /__u/substackcdn.com/image/fetch/$s_!GM3r!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png 848w, /__u/substackcdn.com/image/fetch/$s_!GM3r!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png 1272w, /__u/substackcdn.com/image/fetch/$s_!GM3r!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3f03c81b-c263-408d-a582-72f649263c42_1288x682.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Quanto ao valor de produ&#231;&#227;o por munic&#237;pio, a cana-de-a&#231;&#250;car predomina em Araruama, que se destaca como o maior produtor agr&#237;cola da regi&#227;o em valor, ao passo que a mandioca constitui o principal produto na maioria dos demais munic&#237;pios, com frequ&#234;ncia como &#250;nica cultura relevante, caso de Arma&#231;&#227;o dos B&#250;zios, Iguaba Grande e Saquarema. Silva Jardim distingue-se por apresentar cesta produtiva um pouco mais diversificada, com destaque tamb&#233;m para o abacaxi entre seus principais produtos.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!jh6J!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F120d44cc-ed62-42b7-8b59-484f06293acd_1311x717.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!jh6J!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F120d44cc-ed62-42b7-8b59-484f06293acd_1311x717.png 424w, 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F120d44cc-ed62-42b7-8b59-484f06293acd_1311x717.png 424w, /__u/substackcdn.com/image/fetch/$s_!jh6J!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F120d44cc-ed62-42b7-8b59-484f06293acd_1311x717.png 848w, /__u/substackcdn.com/image/fetch/$s_!jh6J!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F120d44cc-ed62-42b7-8b59-484f06293acd_1311x717.png 1272w, /__u/substackcdn.com/image/fetch/$s_!jh6J!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F120d44cc-ed62-42b7-8b59-484f06293acd_1311x717.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>O segmento em que a agropecu&#225;ria regional efetivamente ganha tra&#231;&#227;o &#233; a pecu&#225;ria. O efetivo bovino consolidado da regi&#227;o mant&#233;m-se est&#225;vel, em torno de 200 a 230 mil cabe&#231;as, ao longo dos &#250;ltimos quinze anos, enquanto o rebanho su&#237;no apresenta recupera&#231;&#227;o recente relevante, retomando os patamares de 2010 ap&#243;s um per&#237;odo de retra&#231;&#227;o entre 2015 e 2020. Esse movimento &#233; liderado principalmente por Silva Jardim e Araruama, munic&#237;pios que concentram os maiores rebanhos da regi&#227;o e que v&#234;m consolidando um polo pecu&#225;rio de relev&#226;ncia crescente. Silva Jardim, dotado de base fundi&#225;ria mais ampla e menos pressionado pela expans&#227;o urbana que atinge o eixo litor&#226;neo, encontra na pecu&#225;ria voca&#231;&#227;o econ&#244;mica que complementa sua receita de royalties.</p><p>Por fim, o gr&#225;fico abaixo mostra os esfor&#231;os de aquicultura na regi&#227;o. Trata-se uma nova fronteira de expans&#227;o da regi&#227;o que merece destaque, com potencial de contribuir para o desenvolvimento da regi&#227;o.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!h-ab!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa87d881-814b-4e6f-bb2f-ff790780e222_1311x725.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!h-ab!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa87d881-814b-4e6f-bb2f-ff790780e222_1311x725.png 424w, 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa87d881-814b-4e6f-bb2f-ff790780e222_1311x725.png 424w, /__u/substackcdn.com/image/fetch/$s_!h-ab!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa87d881-814b-4e6f-bb2f-ff790780e222_1311x725.png 848w, /__u/substackcdn.com/image/fetch/$s_!h-ab!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa87d881-814b-4e6f-bb2f-ff790780e222_1311x725.png 1272w, /__u/substackcdn.com/image/fetch/$s_!h-ab!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa87d881-814b-4e6f-bb2f-ff790780e222_1311x725.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>8. Ind&#250;stria e Rio das Ostras</span></strong></p><p>A ind&#250;stria na maior parte dos munic&#237;pios da regi&#227;o &#233; diminuta, com uma exce&#231;&#227;o. Rio das Ostras possui<span> </span>voca&#231;&#227;o industrial e esta voca&#231;&#227;o est&#225; diretamente vinculada &#224; cadeia de suporte offshore de petr&#243;leo e g&#225;s, com base empresarial consolidada h&#225; mais de duas d&#233;cadas, o que ajuda a explicar por que, mesmo com a produ&#231;&#227;o f&#237;sica de petr&#243;leo do pr&#243;prio munic&#237;pio em decl&#237;nio, conforme discutido na se&#231;&#227;o 2, o munic&#237;pio mant&#233;m-se relativamente resiliente em termos de emprego industrial. Sua economia n&#227;o depende exclusivamente dos royalties, mas de uma cadeia de servi&#231;os e ind&#250;stria naval e offshore que atende &#224; produ&#231;&#227;o tanto da bacia de santos quanto de campos.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!H6_X!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa739888c-158d-4274-a6c6-166f743330da_1027x543.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!H6_X!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa739888c-158d-4274-a6c6-166f743330da_1027x543.png 424w, /__u/substackcdn.com/image/fetch/$s_!H6_X!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa739888c-158d-4274-a6c6-166f743330da_1027x543.png 848w, /__u/substackcdn.com/image/fetch/$s_!H6_X!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa739888c-158d-4274-a6c6-166f743330da_1027x543.png 1272w, /__u/substackcdn.com/image/fetch/$s_!H6_X!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa739888c-158d-4274-a6c6-166f743330da_1027x543.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!H6_X!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa739888c-158d-4274-a6c6-166f743330da_1027x543.png" width="1027" height="543" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa739888c-158d-4274-a6c6-166f743330da_1027x543.png 1272w, /__u/substackcdn.com/image/fetch/$s_!H6_X!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa739888c-158d-4274-a6c6-166f743330da_1027x543.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Nesse sentido, Rio das Ostras encontra-se em posi&#231;&#227;o privilegiada para capturar o efeito de segunda ordem do ciclo do petr&#243;leo, n&#227;o pela receita direta de royalties, mas pela demanda por servi&#231;os industriais especializados, tanto da Baixada Litor&#226;nea quanto da bacia de Campos, ao norte.</p><p>Casimiro de Abreu constitui caso particular, configurando o que se poderia descrever como um duplo polo: apresenta participa&#231;&#227;o industrial relevante e, simultaneamente, figura entre os produtores agr&#237;colas mais relevantes da regi&#227;o, com mandioca, cana-de-a&#231;&#250;car e feij&#227;o entre seus principais produtos, conforme discutido na se&#231;&#227;o 7. Trata-se de um munic&#237;pio que n&#227;o se enquadra integralmente nem no perfil litor&#226;neo-tur&#237;stico, nem no perfil rural, configurando uma economia bipolar que, se bem conduzida, pode se beneficiar tanto do adensamento industrial em torno de Rio das Ostras quanto de eventuais pol&#237;ticas agr&#237;colas regionais.</p><p><strong><span>9. Seguran&#231;a p&#250;blica</span></strong></p><p>Diante de um conjunto razoavelmente favor&#225;vel de indicadores para a economia como crescimento populacional, produ&#231;&#227;o de petr&#243;leo, royalties, quadro fiscal e potencial tur&#237;stico, imp&#245;e-se encerrar este retrato com o aspecto mais preocupante da regi&#227;o: a seguran&#231;a p&#250;blica. O ranking do Instituto de Seguran&#231;a P&#250;blica do Rio de Janeiro (ISP-RJ), que posiciona cada um dos 92 munic&#237;pios do estado em doze indicadores de crime patrimonial e de homic&#237;dio doloso, revela que parcela expressiva da Baixada Litor&#226;nea figura entre as piores coloca&#231;&#245;es do estado, e n&#227;o entre as melhores.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!zHHC!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb52f24ae-71b2-4e8f-be64-ee3c5703379d_1177x667.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!zHHC!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb52f24ae-71b2-4e8f-be64-ee3c5703379d_1177x667.png 1272w, /__u/substackcdn.com/image/fetch/$s_!zHHC!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb52f24ae-71b2-4e8f-be64-ee3c5703379d_1177x667.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Cabo Frio, Arma&#231;&#227;o dos B&#250;zios, Araruama, Saquarema e Arraial do Cabo, justamente os munic&#237;pios mais din&#226;micos da regi&#227;o em termos de turismo, de produ&#231;&#227;o recente de petr&#243;leo, ou de ambos, aparecem predominantemente na faixa vermelha, correspondente &#224; classifica&#231;&#227;o cr&#237;tica, entre os 25% piores do estado, em praticamente todos os indicadores. B&#250;zios, cidade eminentemente tur&#237;stica, ocupa a 5&#170; pior posi&#231;&#227;o do estado em furto a transeunte, furto de celular e roubo a banco. Outro exemplo, Saquarema, o munic&#237;pio com a situa&#231;&#227;o fiscal mais folgada de toda a regi&#227;o, ocupa a 7&#170; pior posi&#231;&#227;o em homic&#237;dio doloso.</p><p>O contraste geogr&#225;fico observado &#233; significativo: os quatro munic&#237;pios com melhor desempenho relativo, Casimiro de Abreu, Silva Jardim, S&#227;o Pedro da Aldeia e Iguaba Grande, concentram a maior parte das classifica&#231;&#245;es moderada e baixa do mapa, sugerindo que o desafio da seguran&#231;a p&#250;blica acompanha de perto o pr&#243;prio eixo de crescimento populacional e tur&#237;stico mais intenso, correspondente ao litoral consolidado.</p><p>Ainda assim, h&#225; exce&#231;&#245;es que merecem registro: Silva Jardim ocupa a 6&#170; pior posi&#231;&#227;o do estado em homic&#237;dio doloso e a 9&#170; pior em roubo de carga, situa&#231;&#227;o provavelmente associada &#224; presen&#231;a da rodovia BR-101 em seu territ&#243;rio; e S&#227;o Pedro da Aldeia apresenta classifica&#231;&#227;o cr&#237;tica em roubo a com&#233;rcio (17&#170; posi&#231;&#227;o) e em roubo a transeunte (21&#170; posi&#231;&#227;o).</p><p>Esse quadro dialoga diretamente com o maior risco para a regi&#227;o. Uma regi&#227;o que cresce em ritmo acelerado, atrai fluxo migrat&#243;rio expressivo e movimenta receita crescente de royalties, mas cuja capacidade institucional de seguran&#231;a p&#250;blica n&#227;o acompanha esse ritmo, exp&#245;e-se ao risco de comprometer o desenvolvimento dos munic&#237;pios em suas diferentes vertentes al&#233;m do petr&#243;leo.</p><p>A seguran&#231;a p&#250;blica constitui, portanto, mais uma pauta que deveria integrar qualquer instrumento de planejamento regional coordenado e deve ser visto como prioridade absoluta do Estado.</p><p><strong><span>Considera&#231;&#245;es finais</span></strong></p><p>O quadro geral que emerge da Baixada Litor&#226;nea &#233; o de uma regi&#227;o que atravessa um momento muito particular em rela&#231;&#227;o ao Estado, em decorr&#234;ncia sobretudo do Boom do Petr&#243;leo e seus efeitos.</p><p>O desafio, hoje, reside menos na gera&#231;&#227;o de receita, mas em como aplic&#225;-la de forma eficiente e duradoura. Como mostrou a regi&#227;o Norte do Estado, os recursos do petr&#243;leo n&#227;o s&#227;o duradouros e deveram minguar a partir da pr&#243;xima d&#233;cada. O momento &#233; de usar estes recursos para desenvolver os ativos da regi&#227;o.</p><p>A regi&#227;o possui voca&#231;&#227;o tur&#237;stica evidente, que pode ser melhor explorada tanto nas regi&#227;o das praias e lagoas quanto fora do eixo litor&#226;neo tradicional, sendo o potencial ecotur&#237;stico de Silva Jardim exemplo claro nesse sentido. A regi&#227;o possui agropecu&#225;ria modesta, mas com polo pecu&#225;rio em consolida&#231;&#227;o em Silva Jardim e Araruama. E conta, em Rio das Ostras, com o &#250;nico munic&#237;pio de voca&#231;&#227;o industrial madura.</p><p>A necessidade de coordena&#231;&#227;o para investir estes recursos que n&#227;o s&#227;o perenes &#233; claro. O desafio de coordena&#231;&#227;o dever ser visto como priorit&#225;rio pelos munic&#237;pios e pelo Estado. H&#225; muita potencialidade n&#227;o desenvolvida que exige um plano integrado comum para ser destravado.</p>]]></content:encoded></item><item><title><![CDATA[Como o Estado do RJ pode ajudar os Municípios a Recuperar a Saúde Fiscal]]></title><description><![CDATA[A experi&#234;ncia do Esp&#237;rito Santo e a proposta de um &#205;ndice de Gest&#227;o Fiscal na distribui&#231;&#227;o do ICMS]]></description><link>https://andresennaduarte.substack.com/p/como-o-estado-do-rj-pode-ajudar-os</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/como-o-estado-do-rj-pode-ajudar-os</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Wed, 05 Aug 2026 22:02:23 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!huY9!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa0808878-da17-4ec6-843f-eb642ae02477_1322x636.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p>O texto anterior sobre o &#237;ndice CAPAG mostrou que quase um ter&#231;o dos munic&#237;pios fluminenses n&#227;o recebe nota na publica&#231;&#227;o mais recente do Tesouro Nacional, e que a maioria dos que recebem nota est&#225; classificada em C. Em ambos os casos, estes resultados s&#227;o um limitador importante para os munic&#237;pios pois criam empecilhos para a obten&#231;&#227;o de recursos e garantias federais, limitando com um todo o desenvolvimento. Al&#233;m disso, tamb&#233;m sinaliza a m&#225; condu&#231;&#227;o administrativa dos munic&#237;pios, tornando-os menos atraentes para os investimentos privados.</p><p>Apesar das limita&#231;&#245;es fiscais do pr&#243;prio Estado, existem a&#231;&#245;es que podem ser realizadas para apoiar os munic&#237;pios.<span> </span>O Esp&#237;rito Santo oferece um caso de refer&#234;ncia nessa discuss&#227;o pelos instrumentos que desenvolveu para acompanhar e apoiar seus munic&#237;pios.</p><p></p><p><strong><span>O Bom Desempenho do Esp&#237;rito Santo</span></strong></p><p>Antes de tudo, &#233; importante separar dois fen&#244;menos que se confundem com frequ&#234;ncia. O Esp&#237;rito Santo &#233;, como ente estadual, o &#250;nico do pa&#237;s com nota A na CAPAG em todos os anos desde a cria&#231;&#227;o do indicador, tendo alcan&#231;ado nota A+ em 2024 e 2025. Essa trajet&#243;ria est&#225; associada a uma pol&#237;tica e cultura de responsabilidade fiscal que remonta o primeiro mandato do governador Paulo Hartung e persiste at&#233; hoje. Um verdadeiro exemplo de progressiva constru&#231;&#227;o institucional.</p><p>O bom desempenho do Esp&#237;rito Santo em gest&#227;o fiscal n&#227;o se restringe &#224; nota CAPAG estadual, mas tamb&#233;m se espalha para os munic&#237;pios e a qualidade de suas estat&#237;sticas. Com larga vantagem para o segundo colocado, os munic&#237;pios do Esp&#237;rito Santo ocupam, de forma consolidade, a primeira posi&#231;&#227;o nacional no Indicador de Qualidade Cont&#225;bil e Fiscal (ICF), mantido pela Secretaria do Tesouro Nacional, com a maior propor&#231;&#227;o de munic&#237;pios classificados com nota A entre todos os estados do pa&#237;s.</p><p>O Rio de Janeiro, por sua vez, ocupa a pen&#250;ltima posi&#231;&#227;o nesse mesmo ranking, na frente apenas de Roraima, com pouco mais da metade de seus munic&#237;pios classificados em C, D ou E, e participa&#231;&#227;o praticamente inexistente na nota A.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!4oTU!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff22b750c-9494-4524-8886-709db121f2ba_1685x825.png" data-component-name="Image2ToDOM"><div 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff22b750c-9494-4524-8886-709db121f2ba_1685x825.png 1272w, /__u/substackcdn.com/image/fetch/$s_!4oTU!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff22b750c-9494-4524-8886-709db121f2ba_1685x825.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>O Sistema Unificado de Controle e Avalia&#231;&#227;o</span></strong></p><p>O primeiro instrumento desenvolvido pelo Esp&#237;rito Santo &#233; o CidadES (Controle Informatizado de Dados do Esp&#237;rito Santo), sistema eletr&#244;nico mantido pelo TCE-ES por meio do qual os munic&#237;pios capixabas enviam periodicamente<em><span>, inter alia</span></em>, suas presta&#231;&#245;es de contas ao Tribunal. Trata-se de um sistema estadual, de fiscaliza&#231;&#227;o e controle externo, inteiramente distinto do Siconfi, sistema federal mantido pela Secretaria do Tesouro Nacional. &#201; importante destacar esse ponto porque frequentemente se sup&#245;e que o Estado envia as informa&#231;&#245;es municipais ao Tesouro Nacional em nome dos munic&#237;pios. Ao contr&#225;rio: cada munic&#237;pio envia diretamente ao Siconfi seus pr&#243;prios relat&#243;rios, o Relat&#243;rio Resumido da Execu&#231;&#227;o Or&#231;ament&#225;ria e o Relat&#243;rio de Gest&#227;o Fiscal, sem intermedia&#231;&#227;o estadual.</p><p>O que o TCE-ES faz, por meio de sua estrutura de controle externo, &#233; acompanhar essas remessas feitas pelos munic&#237;pios ao Siconfi, verificando se foram enviadas e homologadas corretamente, de modo a apoiar os gestores municipais a corrigir eventuais falhas antes que isso comprometa a nota oficial.</p><p></p><p><strong><span>O painel de Controle Municipal e o C&#225;lculo do Capag</span></strong></p><p>A partir da base de dados formada pelo CidadES, o TCE-ES constr&#243;i um segundo instrumento, de natureza distinta: o Painel de Controle do TCE-ES. Enquanto o CidadES &#233; o sistema de coleta, o Painel de Controle do TCE-ES &#233; um produto anal&#237;tico. O objetivo do painel &#233; n&#227;o apenas dar transpar&#234;ncia as contas p&#250;blicas municipais, mas tamb&#233;m emitir alertas com rela&#231;&#227;o a deteriora&#231;&#227;o de uma s&#233;rie de indicadores, como por exemplo aqueles previstos na Lei de Responsabilidade Fiscal.</p><p>Al&#233;m de uma s&#233;rie de indicadores, o TCE-ES aplica a mesma metodologia utilizada pela Secretaria do Tesouro Nacional, analisando endividamento, liquidez e poupan&#231;a corrente de cada munic&#237;pio, para produzir uma estimativa mensal da nota CAPAG.</p><p>A diferen&#231;a central em rela&#231;&#227;o &#224; publica&#231;&#227;o oficial do Tesouro Nacional est&#225; na frequ&#234;ncia. Enquanto a nota oficial &#233; divulgada uma vez por ano (com defasagem de um ano), o painel capixaba &#233; atualizado m&#234;s a m&#234;s.</p><p>O prop&#243;sito dessa atualiza&#231;&#227;o frequente &#233; bastante direta: o painel foi criado para que os gestores municipais pudessem corrigir os rumos ainda durante o exerc&#237;cio fiscal em curso. Essa l&#243;gica preventiva &#233; o elemento mais relevante do modelo. Em vez de o munic&#237;pio descobrir, apenas no ano seguinte, que sua nota piorou, o gestor recebe um alerta recorrente que possibilita ajuste de rota, seja pela conten&#231;&#227;o de despesas correntes, seja pela melhoria da arrecada&#231;&#227;o pr&#243;pria.</p><p></p><p><strong><span>A capacita&#231;&#227;o t&#233;cnica dos gestores municipais</span></strong></p><p>Um terceiro instrumento &#233; a forma&#231;&#227;o continuada de servidores e gestores. A Secretaria da Fazenda e o Tribunal de Contas do Estado mant&#234;m uma parceria chamada Enfoc (Encontro de Forma&#231;&#227;o em Controle), que reune representantes dos muncipios capixabas em encontros presenciais.</p><p>A vantagem desta parceria &#233; que a SEFAZ-ES aborda quest&#245;es relacionadas a aspectos ligados &#224; arrecada&#231;&#227;o, tributa&#231;&#227;o, IPM, contabilidade p&#250;blica e gest&#227;o fiscal. Enquanto isso, o TCE orienta sobre controle externo, fiscaliza&#231;&#227;o, presta&#231;&#227;o de contas, governan&#231;a e conformidade.</p><p>Os temas tratados incluem a distribui&#231;&#227;o do ICMS entre munic&#237;pios por meio do &#205;ndice de Participa&#231;&#227;o dos Munic&#237;pios, al&#233;m de pr&#225;ticas de educa&#231;&#227;o fiscal voltadas &#224; qualifica&#231;&#227;o da arrecada&#231;&#227;o pr&#243;pria e ao aprimoramento da gest&#227;o or&#231;ament&#225;ria local. Essa capacita&#231;&#227;o alcan&#231;a secret&#225;rios municipais, vereadores e demais servidores, ampliando, em diferentes n&#237;veis da administra&#231;&#227;o local, a compreens&#227;o sobre como decis&#245;es de arrecada&#231;&#227;o e de gasto afetam os indicadores que comp&#245;em a CAPAG.</p><p></p><p><strong><span>O Rio de Janeiro</span></strong></p><p>Embora o Tribunal de Contas do Estado do Rio de Janeiro j&#225; disponha do Sistema Integrado de Gest&#227;o Fiscal (SIGFIS), respons&#225;vel pelo recebimento e processamento de informa&#231;&#245;es fiscais dos jurisdicionados, o n&#237;vel de integra&#231;&#227;o n&#227;o &#233; a ideal. Uma plataforma inspirada no modelo do CidadES do Esp&#237;rito Santo, poderia ampliar significativamente a capacidade de monitoramento preventivo da gest&#227;o fiscal municipal. Integrado a um painel de acompanhamento peri&#243;dico dos principais indicadores que comp&#245;em a metodologia da CAPAG e de outras m&#233;tricas de sustentabilidade fiscal, esse sistema permitiria identificar precocemente riscos de deteriora&#231;&#227;o das contas p&#250;blicas, oferecendo aos munic&#237;pios fluminenses um instrumento efetivo de corre&#231;&#227;o de rumo antes que os problemas se refletissem na classifica&#231;&#227;o final atribu&#237;da pelo Tesouro Nacional.</p><p>Da mesma forma, a cria&#231;&#227;o de um programa permanente de capacita&#231;&#227;o, inspirado no Enfoc<span> </span>poderia fortalecer a gest&#227;o fiscal dos munic&#237;pios fluminenses com maiores dificuldades. A iniciativa contribuiria para disseminar boas pr&#225;ticas de administra&#231;&#227;o financeira, aperfei&#231;oar a qualidade das informa&#231;&#245;es encaminhadas aos &#243;rg&#227;os de controle e aumentar a capacidade t&#233;cnica das equipes municipais para acompanhar seus indicadores fiscais, reduzindo inconsist&#234;ncias e favorecendo a melhoria das condi&#231;&#245;es de elegibilidade para opera&#231;&#245;es de cr&#233;dito e da pr&#243;pria gest&#227;o das finan&#231;as p&#250;blicas.</p><p></p><p><strong><span>Um passo adicional: o &#205;ndice de Gest&#227;o Fiscal</span></strong></p><p>Al&#233;m de replicar os instrumentos capixabas, h&#225; um mecanismo complementar que o Rio de Janeiro poderia adotar, apoiado em um instrumento j&#225; conhecido em outros estados, embora com outra finalidade.</p><p>Atualmente, a cota-parte municipal do ICMS &#233; distribu&#237;da, em sua maior parte, conforme o valor adicionado fiscal de cada munic&#237;pio. Desde a Emenda Constitucional n&#186; 108/2020, no m&#237;nimo 65% desse montante deve seguir esse crit&#233;rio, enquanto at&#233; 35% podem ser distribu&#237;dos conforme crit&#233;rios definidos em lei estadual. A Constitui&#231;&#227;o passou ainda a exigir que, desse percentual, pelo menos 10 pontos percentuais sejam repartidos com base em indicadores de melhoria dos resultados de aprendizagem e de aumento da equidade educacional. Nesse espa&#231;o de discricionariedade estadual, diversos estados passaram a adotar crit&#233;rios adicionais de pol&#237;tica p&#250;blica, sendo o mais difundido o ICMS Ecol&#243;gico, premiando munic&#237;pios com bom desempenho ambiental.</p><p>Recentemente, o primeiro Estado a usar um crit&#233;rio fiscal foi o Mato Grosso que incorporou o esfor&#231;o de arrecada&#231;&#227;o pr&#243;pria como um dos fatores que comp&#245;em o &#237;ndice de distribui&#231;&#227;o dos recursos. A l&#243;gica deste incentivo &#233; premiar a moderniza&#231;&#227;o administrativa tribut&#225;ria, atualiza&#231;&#227;o de cadastros, melhorar cobran&#231;a de impostos e reduzir a depend&#234;ncia de transfer&#234;ncias governamentais.</p><p>O Rio de Janeiro pode ir al&#233;m. Um &#205;ndice de Gest&#227;o Fiscal, incorporado a esse mesmo espa&#231;o discricion&#225;rio, poderia ser desenvolvido de forma a premiar os munic&#237;pios fluminenses que apresentassem melhora na qualidade das informa&#231;&#245;es cont&#225;beis prestadas e melhora nos indicadores fiscais propriamente ditos, como endividamento, poupan&#231;a corrente e liquidez.</p><p>Dois cuidados tornariam esse &#237;ndice mais robusto e mais justo. O primeiro &#233; usar, para a dimens&#227;o cont&#225;bil, um indicador j&#225; existente e auditado nacionalmente, como o Indicador de Qualidade Cont&#225;bil e Fiscal mantido pela pr&#243;pria Secretaria do Tesouro Nacional, em vez de criar um instrumento paralelo.</p><p>O segundo cuidado, mais importante, &#233; calcular a melhora dos indicadores fiscais a partir de uma receita corrente ajustada, que exclua a parcela patrimonial, na qual se incluem royalties, participa&#231;&#245;es especiais e demais compensa&#231;&#245;es financeiras associadas &#224; produ&#231;&#227;o de petr&#243;leo. Sem esse ajuste, o &#237;ndice tenderia simplesmente a reproduzir o padr&#227;o j&#225; identificado no texto sobre a CAPAG, premiando munic&#237;pios da Baixada Litor&#226;nea e da Costa Verde n&#227;o por m&#233;rito de gest&#227;o, mas pela receita crescente do pr&#233;-sal.</p><p>O mapa a seguir mostra a distribui&#231;&#227;o espacial dessa nota entre os munic&#237;pios fluminenses. As piores classifica&#231;&#245;es, D e E, aparecem espalhadas por diferentes regi&#245;es do Estado, incluindo &#225;reas do Noroeste Fluminense, da Regi&#227;o Serrana, da Costa Verde e mesmo alguns munic&#237;pios da Regi&#227;o Metropolitana, o que sugere que o problema da qualidade da informa&#231;&#227;o n&#227;o se limita &#224;s regi&#245;es j&#225; identificadas como mais fr&#225;geis na an&#225;lise da CAPAG, mas constitui um desafio &#224; parte, potencialmente mais f&#225;cil de endere&#231;ar por depender primariamente de capacidade t&#233;cnica e rotina administrativa, e n&#227;o de condi&#231;&#245;es estruturais de arrecada&#231;&#227;o.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!huY9!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa0808878-da17-4ec6-843f-eb642ae02477_1322x636.png" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa0808878-da17-4ec6-843f-eb642ae02477_1322x636.png 1272w, /__u/substackcdn.com/image/fetch/$s_!huY9!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa0808878-da17-4ec6-843f-eb642ae02477_1322x636.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>Considera&#231;&#245;es finais</span></strong></p><p>A experi&#234;ncia do Esp&#237;rito Santo indica que o apoio de um governo estadual &#224; sa&#250;de fiscal de seus munic&#237;pios pode se materializar em instrumentos relativamente simples, como a organiza&#231;&#227;o do fluxo de dados municipais, o monitoramento cont&#237;nuo dos indicadores oficiais e a capacita&#231;&#227;o t&#233;cnica de gestores locais, sem exigir necessariamente aportes financeiros.</p><p>&#201; importante reconhecer, contudo, que boa parte desse arranjo depende da atua&#231;&#227;o do Tribunal de Contas e da ALERJ, e n&#227;o apenas do Poder Executivo estadual, o que aponta para a necessidade de articula&#231;&#227;o entre as institui&#231;&#245;es distintas.</p><p>Um &#205;ndice de Gest&#227;o Fiscal, incorporado &#224; distribui&#231;&#227;o do ICMS e cuidadosamente desenhado para isolar o efeito da receita patrimonial, acrescentaria a esse conjunto um incentivo financeiro direto &#224; melhoria da gest&#227;o municipal. Para o Rio de Janeiro, cujo quadro municipal revela tanto notas predominantemente medianas quanto uma propor&#231;&#227;o elevada de munic&#237;pios sem classifica&#231;&#227;o, a combina&#231;&#227;o desses instrumentos representaria um passo institucional importante<span> </span>dentro de a&#231;&#245;es para recupera&#231;&#227;o a sa&#250;de fiscal dos munic&#237;pios.</p><p></p><p class="button-wrapper" data-attrs="{&quot;url&quot;:&quot;https://andresennaduarte.substack.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe now&quot;,&quot;action&quot;:null,&quot;class&quot;:null}" data-component-name="ButtonCreateButton"><a class="button primary" href="/__u/andresennaduarte.substack.com/subscribe"><span>Subscribe now</span></a></p><p></p>]]></content:encoded></item><item><title><![CDATA[Um Retrato da Saúde Fiscal dos Municípios no Estado do Rio de Janeiro]]></title><description><![CDATA[Compara&#231;&#227;o Nacional , qualidade das estat&#237;sticas e disparidades regionais entre os munic&#237;pios fluminenses]]></description><link>https://andresennaduarte.substack.com/p/um-retrato-da-saude-fiscal-dos-municipios</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/um-retrato-da-saude-fiscal-dos-municipios</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Mon, 27 Jul 2026 11:00:49 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!5ZQ4!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p>Periodicamente, o Tesouro Nacional avalia a sa&#250;de fiscal dos munic&#237;pios brasileiros por meio do c&#225;lculo do indicador CAPAG, sigla para Capacidade de Pagamento. O indicador resulta da combina&#231;&#227;o de tr&#234;s sub&#237;ndices focados em diferentes aspectos da sa&#250;de financeira: o endividamento, a poupan&#231;a corrente e a liquidez de caixa. De acordo com o resultado, atribui-se uma nota que varia de A at&#233; D. A fonte dos dados utilizados s&#227;o aqueles enviados ao Tesouro Nacional pelos munic&#237;pios em decorr&#234;ncia das exig&#234;ncias da Lei de Responsabilidade Fiscal.</p><p></p><p>Al&#233;m de ser um indicador &#250;til por tornar transparente ao p&#250;blico a situa&#231;&#227;o fiscal do munic&#237;pio, tamb&#233;m h&#225; efeitos pr&#225;ticos. Em particular, a nota determina se um munic&#237;pio pode contratar opera&#231;&#245;es de cr&#233;dito com garantia da Uni&#227;o, condi&#231;&#227;o indispens&#225;vel para acessar financiamentos de bancos p&#250;blicos, organismos multilaterais e programas de investimento em infraestrutura, saneamento e mobilidade urbana. Um munic&#237;pio com nota C ou D encontra dificuldade obter essas garantias, o que restringe inevitavelmente sua capacidade de investir. Ademais, a CAPAG, como um term&#244;metro da sa&#250;de fiscal municipal, tamb&#233;m &#233; utilizado pelas empresas para decidir onde investir pois sinaliza a capacidade do munic&#237;pio de prover bens p&#250;blicos.</p><p></p><p><strong><span>O panorama do Brasil e a posi&#231;&#227;o dos munic&#237;pios fluminenses</span></strong></p><p>O mapa abaixo refere-se ao ano de refer&#234;ncia 2025 e 2024 (caso a informa&#231;&#227;o de 2025 ainda n&#227;o esteja dispon&#237;vel) e mostra a nota CAPAG por munic&#237;pio. Como em gr&#225;ficos desta natureza, h&#225; importante evid&#234;ncia de heterogeneidade fiscal no territ&#243;rio brasileiro. Observa-se uma concentra&#231;&#227;o de notas A e B na Regi&#227;o Sul e em parte do Sudeste e Centro-Oeste, enquanto o Norte e boa parte do Nordeste apresentam predomin&#226;ncia da nota D. Essa distribui&#231;&#227;o reflete, em larga medida, diferen&#231;as estruturais de base econ&#244;mica e gest&#227;o fiscal entre as regi&#245;es do pa&#237;s. Al&#233;m disso, tamb&#233;m sugere que as relevantes transfer&#234;ncias de recursos para os munic&#237;pios do Norte e Nordeste n&#227;o aumentam a flexibilidade financeira e os investimentos, mas sim, os gastos correntes.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!FnqP!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F252631c1-9fc1-4221-92c3-6610a69a145a_1102x827.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!FnqP!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/substackcdn.com/image/fetch/$s_!FnqP!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F252631c1-9fc1-4221-92c3-6610a69a145a_1102x827.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!FnqP!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F252631c1-9fc1-4221-92c3-6610a69a145a_1102x827.png" width="1102" height="827" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F252631c1-9fc1-4221-92c3-6610a69a145a_1102x827.png 424w, /__u/substackcdn.com/image/fetch/$s_!FnqP!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F252631c1-9fc1-4221-92c3-6610a69a145a_1102x827.png 848w, /__u/substackcdn.com/image/fetch/$s_!FnqP!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F252631c1-9fc1-4221-92c3-6610a69a145a_1102x827.png 1272w, /__u/substackcdn.com/image/fetch/$s_!FnqP!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F252631c1-9fc1-4221-92c3-6610a69a145a_1102x827.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>O gr&#225;fico de distribui&#231;&#227;o por Estado permite qualificar melhor essa heterogeneidade e posicionar os munic&#237;pios do Rio de Janeiro no conjunto nacional. Estados como Santa Catarina, Esp&#237;rito Santo Rond&#244;nia e Rio Grande do Sul apresentam mais de dois ter&#231;os de seus munic&#237;pios com nota A, formando o grupo de melhor desempenho fiscal municipal do pa&#237;s. No extremo oposto, Estados como Amap&#225;, Sergipe e Bahia concentram a quase totalidade de seus munic&#237;pios em notas C, com alguma incid&#234;ncia de nota D.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!6Psg!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F46e9daac-ce92-42ea-82de-9b95581b1435_1886x852.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!6Psg!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F46e9daac-ce92-42ea-82de-9b95581b1435_1886x852.png 424w, 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F46e9daac-ce92-42ea-82de-9b95581b1435_1886x852.png 424w, /__u/substackcdn.com/image/fetch/$s_!6Psg!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F46e9daac-ce92-42ea-82de-9b95581b1435_1886x852.png 848w, /__u/substackcdn.com/image/fetch/$s_!6Psg!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F46e9daac-ce92-42ea-82de-9b95581b1435_1886x852.png 1272w, /__u/substackcdn.com/image/fetch/$s_!6Psg!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F46e9daac-ce92-42ea-82de-9b95581b1435_1886x852.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Os munic&#237;pios fluminenses ocupam uma posi&#231;&#227;o intermedi&#225;ria, por&#233;m mais pr&#243;xima do grupo inferior do que do superior. Pouco menos de um quarto deles possui nota A, propor&#231;&#227;o semelhante &#224; observada em S&#227;o Paulo, mas bastante inferior &#224; dos estados l&#237;deres. A maior parte dos munic&#237;pios do Rio de Janeiro est&#225; classificada em C, o que indica que, embora o Estado n&#227;o figure entre os casos mais cr&#237;ticos do pa&#237;s, a situa&#231;&#227;o fiscal municipal n&#227;o &#233; favor&#225;vel.</p><p></p><p><strong><span>A qualidade das estat&#237;sticas</span></strong></p><p>Antes de aprofundar a an&#225;lise regional, cabe uma ressalva metodol&#243;gica. Nem todos os munic&#237;pios recebem nota, seja por aus&#234;ncia de dados, seja por inelegibilidade t&#233;cnica ao c&#225;lculo.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!gk2Z!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbf178fdf-76a7-43e9-b769-1023ee66ae5f_1496x756.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!gk2Z!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbf178fdf-76a7-43e9-b769-1023ee66ae5f_1496x756.png 424w, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbf178fdf-76a7-43e9-b769-1023ee66ae5f_1496x756.png 1272w, /__u/substackcdn.com/image/fetch/$s_!gk2Z!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbf178fdf-76a7-43e9-b769-1023ee66ae5f_1496x756.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>O gr&#225;fico acima mostra a propor&#231;&#227;o de munic&#237;pios sem nota CAPAG por estado. A m&#233;dia nacional &#233; de 14,7%, mas o Rio de Janeiro est&#225; bem acima dela, com 31% de seus munic&#237;pios sem classifica&#231;&#227;o, o que o coloca entre os cinco piores estados nesse quesito, atr&#225;s apenas de Amap&#225;, Roraima, Acre e Para&#237;ba. A aus&#234;ncia de nota frequentemente decorre de falhas na presta&#231;&#227;o de contas, atrasos cont&#225;beis ou capacidade administrativa insuficiente para atender &#224;s exig&#234;ncias do Tesouro Nacional, condi&#231;&#245;es que, em geral, n&#227;o se associam a uma boa situa&#231;&#227;o fiscal. H&#225;, portanto, raz&#227;o para supor que o quadro real dos munic&#237;pios fluminenses seja pior do que aquele estritamente mensurado pelas notas.</p><p></p><p><strong><span>As disparidades dentro do Estado</span></strong></p><p>O mapa dos munic&#237;pios fluminenses revela um padr&#227;o por regi&#227;o: a Costa Verde e da Baixada Litor&#226;nea apresentam os melhores resultados relativos, com parcela expressiva de munic&#237;pios em nota A e reduzida incid&#234;ncia de aus&#234;ncia de dados. Esse desempenho est&#225; possivelmente associado ao dinamismo crescente da produ&#231;&#227;o de petr&#243;leo na Bacia de Santos e o bom desempenho das atividades de turismo.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!5ZQ4!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!5ZQ4!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png 424w, /__u/substackcdn.com/image/fetch/$s_!5ZQ4!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png 848w, /__u/substackcdn.com/image/fetch/$s_!5ZQ4!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png 1272w, 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data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:726,&quot;width&quot;:1182,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:44811,&quot;alt&quot;:&quot;&quot;,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/208481268?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" title="" srcset="/__u/substackcdn.com/image/fetch/$s_!5ZQ4!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png 424w, /__u/substackcdn.com/image/fetch/$s_!5ZQ4!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png 848w, /__u/substackcdn.com/image/fetch/$s_!5ZQ4!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png 1272w, /__u/substackcdn.com/image/fetch/$s_!5ZQ4!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F92828704-f7c0-43ca-901f-d4e4ef8f7d8c_1182x726.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Por outro lado, o contraste com o Norte Fluminense &#233; um destaque importante. Trata-se de uma regi&#227;o historicamente associada &#224; explora&#231;&#227;o petrol&#237;fera, na Bacia de Campos, mas que hoje enfrenta maior dificuldade fiscal relativa, com predomin&#226;ncia de nota C. O decl&#237;nio relativo da produ&#231;&#227;o na Bacia de Campos, &#224; medida que o eixo de crescimento do setor se desloca para a Bacia de Santos, parece se refletir tamb&#233;m na capacidade de pagamento dos munic&#237;pios da regi&#227;o. Em outras palavras, estes munic&#237;pios n&#227;o conseguiram se preparar para o inevit&#225;vel decl&#237;nio da produ&#231;&#227;o e hoje encontram-se em dificuldades financeiras.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!qzFJ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc0cdbe7f-7e4a-4b9b-afe3-0887dceded72_1512x715.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!qzFJ!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc0cdbe7f-7e4a-4b9b-afe3-0887dceded72_1512x715.png 1272w, /__u/substackcdn.com/image/fetch/$s_!qzFJ!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc0cdbe7f-7e4a-4b9b-afe3-0887dceded72_1512x715.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A Regi&#227;o Metropolitana, onde se concentra a maior parte da popula&#231;&#227;o fluminense, apresenta quadro heterog&#234;neo. Embora exiba parcela relevante de munic&#237;pios em nota A e B, essa m&#233;dia oculta disparidades internas importantes. Os munic&#237;pios da Baixada Fluminense, em particular, tendem a apresentar situa&#231;&#227;o fiscal mais fr&#225;gil do que a m&#233;dia metropolitana, menor dinamismo da economia, em contraste com munic&#237;pios de perfil econ&#244;mico mais robusto na mesma regi&#227;o.</p><p>Por fim, a Regi&#227;o Noroeste Fluminense desponta como o caso mais cr&#237;tico do Estado. Nenhum munic&#237;pio da regi&#227;o aparece com nota A ou B na publica&#231;&#227;o mais recente, e a propor&#231;&#227;o de munic&#237;pios sem nota supera 35%, a maior entre todas as regi&#245;es fluminenses. Trata-se de uma regi&#227;o que combina baixa din&#226;mica econ&#244;mica com aparente fragilidade na pr&#243;pria presta&#231;&#227;o de informa&#231;&#245;es fiscais, o que refor&#231;a o ponto levantado anteriormente sobre a qualidade das estat&#237;sticas.</p><p></p><p><strong><span>Considera&#231;&#245;es finais</span></strong></p><p>O exame da CAPAG revela que os munic&#237;pios fluminenses ocupam posi&#231;&#227;o inferior no cen&#225;rio nacional e apresentam fragilidades relevantes. Internamente, o Estado reproduz, em escala menor, a heterogeneidade observada no pa&#237;s como um todo. As regi&#245;es beneficiadas pelo dinamismo crescente da ind&#250;stria do petr&#243;leo, como a Baixada Litor&#226;nea, exibem desempenho fiscal municipal superior, enquanto regi&#245;es como o Norte Fluminense, a Baixada Fluminense e, sobretudo, o Noroeste Fluminense enfrentam dificuldades mais acentuadas. Compreender essas disparidades &#233; relevante n&#227;o apenas para o debate fiscal, mas tamb&#233;m para orientar pol&#237;ticas p&#250;blicas de desenvolvimento regional, na medida em que a capacidade de pagamento condiciona diretamente o acesso dos munic&#237;pios a cr&#233;dito e investimento.</p>]]></content:encoded></item><item><title><![CDATA[Três Movimentos Demográficos no Estado do Rio de Janeiro]]></title><description><![CDATA[Notas sobre estrutura et&#225;ria, migra&#231;&#227;o e distribui&#231;&#227;o regional da popula&#231;&#227;o fluminense]]></description><link>https://andresennaduarte.substack.com/p/tres-movimentos-demograficos-no-estado</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/tres-movimentos-demograficos-no-estado</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Mon, 13 Jul 2026 11:03:12 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!Qizn!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p>O Estado do Rio de Janeiro apresenta, de acordo com os dados do Censo de 2022, tr&#234;s movimentos demogr&#225;ficos que merecem registro e que ajudam a compreender os desenvolvimentos recentes do Estado. S&#227;o eles:</p><p>1-) O avan&#231;o do processo de envelhecimento da popula&#231;&#227;o, com destaque para a redu&#231;&#227;o expressiva do contingente jovem em pouco mais de uma d&#233;cada.</p><p>2-) A altera&#231;&#227;o do padr&#227;o migrat&#243;rio do Estado, que passou a apresentar saldo negativo em um Estado que historicamente se mostrou atrativo para popula&#231;&#227;o de fora do Estado.</p><p>3-) A redistribui&#231;&#227;o da popula&#231;&#227;o dentro do pr&#243;prio territ&#243;rio, com contra&#231;&#227;o na regi&#227;o Metropolitana e Serrana, mas crescimento nos munic&#237;pios ligados &#224; ind&#250;stria do petr&#243;leo, sobretudo na Baixada Litor&#226;nea e no Norte Fluminense.</p><p>Nesta breve nota, abordaremos os tr&#234;s t&#243;picos com alguns gr&#225;ficos exemplificativos.</p><p></p><p><strong><span>A estrutura et&#225;ria</span></strong></p><p>O gr&#225;fico imediatamente abaixo compara a estrutura et&#225;ria do Rio de Janeiro com a m&#233;dia nacional, representada pela sombra ao fundo. Cada barra representa o contingente populacional do Estado percentualmente em rela&#231;&#227;o ao todo, sendo que em cinza, temos a compara&#231;&#227;o com rela&#231;&#227;o ao restante do pa&#237;s.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!R4vH!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe24ba3dc-74fc-4a5d-8472-8122fefe7130_901x533.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!R4vH!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/substackcdn.com/image/fetch/$s_!R4vH!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe24ba3dc-74fc-4a5d-8472-8122fefe7130_901x533.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!R4vH!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe24ba3dc-74fc-4a5d-8472-8122fefe7130_901x533.png" width="901" height="533" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe24ba3dc-74fc-4a5d-8472-8122fefe7130_901x533.png 1272w, /__u/substackcdn.com/image/fetch/$s_!R4vH!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe24ba3dc-74fc-4a5d-8472-8122fefe7130_901x533.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Nota-se que a base da pir&#226;mide fluminense &#233; razoavelmente mais estreita do que a base brasileira, o que indica um ritmo de envelhecimento mais acelerado no Estado do que no pa&#237;s como um todo. Em treze anos, o Rio de Janeiro registrou uma redu&#231;&#227;o de aproximadamente um milh&#227;o de pessoas com vinte e quatro anos ou menos. Trata-se de uma altera&#231;&#227;o estrutural, com implica&#231;&#245;es sobre a composi&#231;&#227;o futura da for&#231;a de trabalho e sobre a demanda por servi&#231;os p&#250;blicos, particularmente em educa&#231;&#227;o, sa&#250;de e previd&#234;ncia. Al&#233;m disso, h&#225; reflexos importantes sobre a criminalidade e os tipos de crimes cometidos.</p><p>O envelhecimento aparece espalhado em todo o Estado. No entanto, h&#225; diferen&#231;as importantes. A Baixada Fluminense, o Norte e a Costa Verde concentram o contingente mais jovem do Estado, enquanto Campos, a capital, Niter&#243;i, a Baixada Litor&#226;nea e outras &#225;reas do interior mostram envelhecimento mais acentuado, com algumas cidades com idade mediana da popula&#231;&#227;o acima de 40 anos.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!6eR6!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3b14e8c6-cc2f-4dc8-9f94-7807ce53bd4d_735x518.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!6eR6!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3b14e8c6-cc2f-4dc8-9f94-7807ce53bd4d_735x518.png 1272w, /__u/substackcdn.com/image/fetch/$s_!6eR6!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3b14e8c6-cc2f-4dc8-9f94-7807ce53bd4d_735x518.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>O saldo migrat&#243;rio</span></strong></p><p>Nos &#250;ltimos cinco anos, o Rio de Janeiro apresentou saldo migrat&#243;rio negativo pr&#243;ximo de um por cento da popula&#231;&#227;o, resultado que o distingue dos demais estados do Sudeste. O dado relevante &#233; a mudan&#231;a de posi&#231;&#227;o do Rio de Janeiro, que historicamente recebia mais migrantes do que perdia e que, no per&#237;odo mais recente, passou a apresentar o padr&#227;o inverso.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!diyr!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!diyr!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png 424w, /__u/substackcdn.com/image/fetch/$s_!diyr!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png 848w, /__u/substackcdn.com/image/fetch/$s_!diyr!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png 1272w, /__u/substackcdn.com/image/fetch/$s_!diyr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!diyr!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png" width="992" height="582" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png 424w, /__u/substackcdn.com/image/fetch/$s_!diyr!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png 848w, /__u/substackcdn.com/image/fetch/$s_!diyr!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png 1272w, /__u/substackcdn.com/image/fetch/$s_!diyr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f743ce2-3293-4085-b78d-148633f3c96e_992x582.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Esse padr&#227;o pode estar associado a fatores diversos, entre eles a trajet&#243;ria econ&#244;mica, na qual a crise que se iniciou em 2014 atingiu a economia do Estado de forma mais relevante que os demais. Al&#233;m disso, a deteriora&#231;&#227;o mais ampla dos servi&#231;os p&#250;blicos, como, por exemplo, a seguran&#231;a, foi mais um elemento que tornou o Estado menos atrativo.</p><p></p><p><strong><span>A distribui&#231;&#227;o regional da popula&#231;&#227;o</span></strong></p><p>A regi&#227;o Metropolitana concentra pouco mais de setenta por cento da popula&#231;&#227;o do Estado, o que evidencia o peso dessa regi&#227;o na estrutura demogr&#225;fica fluminense, sendo cerca de metade deste contingente localizado na capital. Baixada Litor&#226;nea, Norte Fluminense, Serrana e M&#233;dio Para&#237;ba possuem contingentes populacionais similares, em torno de 5%-6%. Por fim, Costa Verde, Noroeste e Centro-Sul registram aproximadamente 2% cada.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!lrMM!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F73ca669d-8ed9-405c-bb3f-57bd56101067_528x360.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!lrMM!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F73ca669d-8ed9-405c-bb3f-57bd56101067_528x360.png 424w, /__u/substackcdn.com/image/fetch/$s_!lrMM!, /__u/andresennaduarte.substack.com/w_848, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F73ca669d-8ed9-405c-bb3f-57bd56101067_528x360.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!lrMM!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F73ca669d-8ed9-405c-bb3f-57bd56101067_528x360.png" width="500" height="340.90909090909093" 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/__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F73ca669d-8ed9-405c-bb3f-57bd56101067_528x360.png 424w, /__u/substackcdn.com/image/fetch/$s_!lrMM!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F73ca669d-8ed9-405c-bb3f-57bd56101067_528x360.png 848w, /__u/substackcdn.com/image/fetch/$s_!lrMM!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F73ca669d-8ed9-405c-bb3f-57bd56101067_528x360.png 1272w, /__u/substackcdn.com/image/fetch/$s_!lrMM!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F73ca669d-8ed9-405c-bb3f-57bd56101067_528x360.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Entre os dois &#250;ltimos censos, a regi&#227;o Metropolitana e a regi&#227;o Serrana apresentaram contra&#231;&#227;o populacional. Em contraste, a Baixada Litor&#226;nea e o Norte Fluminense cresceram bem acima da m&#233;dia estadual, com varia&#231;&#227;o positiva relevante no per&#237;odo. As demais regi&#245;es apresentaram crescimento, por&#233;m mais modesto.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!H2_Z!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1938d5fb-bc1e-4aab-9c8d-809e3db29c72_987x550.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!H2_Z!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1938d5fb-bc1e-4aab-9c8d-809e3db29c72_987x550.png 424w, /__u/substackcdn.com/image/fetch/$s_!H2_Z!, /__u/andresennaduarte.substack.com/w_848, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1938d5fb-bc1e-4aab-9c8d-809e3db29c72_987x550.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!H2_Z!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1938d5fb-bc1e-4aab-9c8d-809e3db29c72_987x550.png" width="631" height="351.6210739614995" 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/__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1938d5fb-bc1e-4aab-9c8d-809e3db29c72_987x550.png 424w, /__u/substackcdn.com/image/fetch/$s_!H2_Z!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1938d5fb-bc1e-4aab-9c8d-809e3db29c72_987x550.png 848w, /__u/substackcdn.com/image/fetch/$s_!H2_Z!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1938d5fb-bc1e-4aab-9c8d-809e3db29c72_987x550.png 1272w, /__u/substackcdn.com/image/fetch/$s_!H2_Z!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1938d5fb-bc1e-4aab-9c8d-809e3db29c72_987x550.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>O gr&#225;fico seguinte (mapa) apresenta o crescimento por munic&#237;pio. Os munic&#237;pios em azul apresentam expans&#227;o populacional, enquanto os vermelhos apresentam contra&#231;&#227;o. Em branco significa que o crescimento registrado foi de zero. Os munic&#237;pios do litoral norte e da Baixada Litor&#226;nea aparecem destacados em tons de azul, indicativos de crescimento populacional, enquanto parte da &#225;rea Metropolitana e da regi&#227;o Serrana aparece em tons neutros ou associados a queda.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!Qizn!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!Qizn!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png 424w, /__u/substackcdn.com/image/fetch/$s_!Qizn!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png 848w, /__u/substackcdn.com/image/fetch/$s_!Qizn!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Qizn!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!Qizn!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png" width="661" height="326.84623115577887" 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/__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png 424w, /__u/substackcdn.com/image/fetch/$s_!Qizn!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png 848w, /__u/substackcdn.com/image/fetch/$s_!Qizn!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Qizn!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd14bb43-dbfd-45da-befe-2db1537f2135_995x492.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Entre os munic&#237;pios que mais perderam popula&#231;&#227;o no per&#237;odo, est&#227;o v&#225;rios integrantes da Baixada Fluminense, como S&#227;o Gon&#231;alo, Nil&#243;polis, Duque de Caxias e S&#227;o Jo&#227;o de Meriti. O caso espec&#237;fico de S&#227;o Gon&#231;alo merece destaque: uma queda em doze anos de mais de 100 mil pessoas, uma das maiores contra&#231;&#245;es populacionais entre os munic&#237;pios do Brasil no per&#237;odo em quest&#227;o, o que evidencia a falta de competitividade e qualidade dos servi&#231;os p&#250;blicos no munic&#237;pio.</p><p>Entre os que mais ganharam popula&#231;&#227;o, est&#227;o munic&#237;pios como Maric&#225;, Rio das Ostras, Arma&#231;&#227;o dos B&#250;zios, Casimiro de Abreu e Maca&#233;, todos com proximidade direta &#224; cadeia produtiva de petr&#243;leo e g&#225;s. Na medida em que h&#225; expectativa de continuidade do dinamismo dessa ind&#250;stria, &#233; razo&#225;vel considerar que esse padr&#227;o de crescimento diferenciado, sobretudo em rela&#231;&#227;o &#224; Baixada Litor&#226;nea, deve se manter nos pr&#243;ximos anos.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!Dn3h!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8160aa81-e328-4bba-b757-2e74b10ca4a5_1361x630.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!Dn3h!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8160aa81-e328-4bba-b757-2e74b10ca4a5_1361x630.png 424w, /__u/substackcdn.com/image/fetch/$s_!Dn3h!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8160aa81-e328-4bba-b757-2e74b10ca4a5_1361x630.png 848w, /__u/substackcdn.com/image/fetch/$s_!Dn3h!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8160aa81-e328-4bba-b757-2e74b10ca4a5_1361x630.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Dn3h!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8160aa81-e328-4bba-b757-2e74b10ca4a5_1361x630.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!Dn3h!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8160aa81-e328-4bba-b757-2e74b10ca4a5_1361x630.png" width="1361" height="630" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8160aa81-e328-4bba-b757-2e74b10ca4a5_1361x630.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Dn3h!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8160aa81-e328-4bba-b757-2e74b10ca4a5_1361x630.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>Considera&#231;&#245;es finais</span></strong></p><p>Os tr&#234;s movimentos descritos, o avan&#231;o do envelhecimento, a invers&#227;o do saldo migrat&#243;rio e a redistribui&#231;&#227;o interna da popula&#231;&#227;o em dire&#231;&#227;o &#224;s &#225;reas ligadas ao petr&#243;leo, ocorrem de forma simult&#226;nea e podem ser lidos como parte de um mesmo processo de reconfigura&#231;&#227;o demogr&#225;fica do Estado. Essa reconfigura&#231;&#227;o tem implica&#231;&#245;es relevantes para o poder p&#250;blico e deve ser acompanhada com aten&#231;&#227;o, para melhor destina&#231;&#227;o dos recursos p&#250;blicos.</p>]]></content:encoded></item><item><title><![CDATA[A Dependência das Receitas do Petróleo para o Estado do Rio de Janeiro]]></title><description><![CDATA[Uma breve an&#225;lise da composi&#231;&#227;o da receita fluminense e de suas implica&#231;&#245;es para as despesas com sa&#250;de, educa&#231;&#227;o e investimento]]></description><link>https://andresennaduarte.substack.com/p/a-dependencia-das-receitas-do-petroleo</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/a-dependencia-das-receitas-do-petroleo</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Tue, 07 Jul 2026 11:03:25 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!gOI0!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p><strong><span>Introdu&#231;&#227;o</span></strong></p><p>A maioria dos estados brasileiros depende da arrecada&#231;&#227;o tribut&#225;ria, especialmente de impostos como ICMS, IPVA e ITCMD, e das transfer&#234;ncias da Uni&#227;o, como o Fundo de Participa&#231;&#227;o dos Estados (FPE) para se financiar. O Rio de Janeiro, contudo, representa uma exce&#231;&#227;o importante na federa&#231;&#227;o. Nenhum outro estado possui uma parcela t&#227;o elevada de suas receitas proveniente da chamada receita patrimonial. As receitas patrimoniais correspondem aos rendimentos obtidos pela explora&#231;&#227;o, remunera&#231;&#227;o ou utiliza&#231;&#227;o do patrim&#244;nio p&#250;blico, incluindo ativos financeiros, bens p&#250;blicos e recursos naturais. No caso do estado, receitas patrimoniais est&#227;o intimamente relacionados aos royalties e participa&#231;&#245;es especiais da produ&#231;&#227;o de petr&#243;leo e g&#225;s.</p><p>Essa especificidade ajuda a explicar parte importante da din&#226;mica fiscal do estado nos &#250;ltimos anos e ajuda a explicar tamb&#233;m a forma como os recursos s&#227;o alocados. Como ser&#225; discutido a seguir, a composi&#231;&#227;o singular das receitas do Rio de Janeiro n&#227;o apenas confere maior volatilidade ao seu financiamento, como tamb&#233;m molda as prioridades de gasto adotadas ao longo do per&#237;odo.</p><p></p><p><strong><span>Uma estrutura de receita singular</span></strong></p><p>O gr&#225;fico abaixo apresenta a participa&#231;&#227;o da receita patrimonial na receita total de cada estado em 2025. O Rio de Janeiro aparece isolado no topo, com 29,3% da receita total proveniente de fontes patrimoniais. O segundo colocado, o Paran&#225;, situa-se em 8,4%, menos de um ter&#231;o do porcentual fluminense. A grande maioria dos estados encontra-se na faixa de 2% a 6%.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!gOI0!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!gOI0!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png 424w, /__u/substackcdn.com/image/fetch/$s_!gOI0!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png 848w, /__u/substackcdn.com/image/fetch/$s_!gOI0!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png 1272w, /__u/substackcdn.com/image/fetch/$s_!gOI0!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!gOI0!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png" width="922" height="516" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png 424w, /__u/substackcdn.com/image/fetch/$s_!gOI0!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png 848w, /__u/substackcdn.com/image/fetch/$s_!gOI0!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png 1272w, /__u/substackcdn.com/image/fetch/$s_!gOI0!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0ede88d-ecd2-4d7b-be09-488dfc6deee7_922x516.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Essa singularidade n&#227;o &#233; recente, mas se intensificou ao longo do tempo. Ao observar a d&#233;cada de 2015 a 2025, o gr&#225;fico seguinte decomp&#245;e o crescimento da receita de cada estado por fonte, tomando 2015 como base 100.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!AsWr!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3a4e3efc-7373-4d0c-8fd5-1f965f36dbd1_885x511.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!AsWr!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3a4e3efc-7373-4d0c-8fd5-1f965f36dbd1_885x511.png 424w, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3a4e3efc-7373-4d0c-8fd5-1f965f36dbd1_885x511.png 1272w, /__u/substackcdn.com/image/fetch/$s_!AsWr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3a4e3efc-7373-4d0c-8fd5-1f965f36dbd1_885x511.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Duas leituras merecem destaque. Em primeiro lugar, o Rio de Janeiro est&#225; entre os estados com menor crescimento nominal de receita total na d&#233;cada, na parte inferior do ranking.</p><p>Em segundo lugar, e mais relevante para o argumento deste texto, a composi&#231;&#227;o do crescimento das receitas foi at&#237;pica. Na maioria dos estados, a receita tribut&#225;ria (em azul claro) constitui, de forma predominante, o principal motor do crescimento. No Rio de Janeiro, a contribui&#231;&#227;o patrimonial (em azul escuro) apresenta um peso proporcional muito superior ao observado em qualquer outro ente federativo. Ou seja, o Rio de Janeiro n&#227;o apenas depende mais da receita do petr&#243;leo em n&#237;vel absoluto, como tamb&#233;m cresceu, na &#250;ltima d&#233;cada, apoiado nessa fonte de um modo que nenhum outro estado replicou.</p><p></p><p><strong><span>A primeira consequ&#234;ncia: a exposi&#231;&#227;o &#224; volatilidade do pre&#231;o do petr&#243;leo</span></strong></p><p>A implica&#231;&#227;o mais direta dessa estrutura &#233; a exposi&#231;&#227;o &#224;s oscila&#231;&#245;es do pre&#231;o internacional do petr&#243;leo. O gr&#225;fico a seguir sobrep&#245;e a receita patrimonial do Rio de Janeiro &#224; cota&#231;&#227;o m&#233;dia anual do Brent.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!O8u0!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!O8u0!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png 424w, /__u/substackcdn.com/image/fetch/$s_!O8u0!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png 848w, /__u/substackcdn.com/image/fetch/$s_!O8u0!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png 1272w, /__u/substackcdn.com/image/fetch/$s_!O8u0!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!O8u0!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png" width="920" height="520" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png 424w, /__u/substackcdn.com/image/fetch/$s_!O8u0!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png 848w, /__u/substackcdn.com/image/fetch/$s_!O8u0!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png 1272w, /__u/substackcdn.com/image/fetch/$s_!O8u0!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc59d92f-0c6b-4c8a-a4de-cba80c5e9f2e_920x520.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A correla&#231;&#227;o &#233; evidente entre 2015 e 2022: a receita patrimonial acompanha de perto as oscila&#231;&#245;es do Brent, com o pico de ambas as s&#233;ries coincidindo em 2022, ano do choque de pre&#231;os provocado pela guerra na Ucr&#226;nia. Trata-se de uma receita que o estado n&#227;o controla e que pode recuar de forma abrupta, como ocorreu entre 2019 e 2020, independentemente da qualidade da gest&#227;o fiscal local.</p><p>H&#225;, contudo, um elemento que evita um diagn&#243;stico puramente pessimista. A partir de 2023, observa-se um descolamento: a receita patrimonial do Rio de Janeiro segue em trajet&#243;ria de alta mesmo com o Brent em queda. Isso ocorre porque o volume de produ&#231;&#227;o de petr&#243;leo no estado tem aumentado, com novos campos entrando em opera&#231;&#227;o nos pr&#243;ximos anos. Mantidas as demais condi&#231;&#245;es constantes, ou seja, supondo um pre&#231;o do barril razoavelmente est&#225;vel, essa tend&#234;ncia de crescimento do volume produzido que dever&#225; persistir nos pr&#243;ximos anos sugere que a receita patrimonial dever&#225; manter<span> </span>vi&#233;s de alta<span> </span>nos pr&#243;ximos anos.</p><p></p><p><strong><span>A segunda consequ&#234;ncia: o problema da base de c&#225;lculo dos m&#237;nimos constitucionais</span></strong></p><p>Existe, no entanto, uma segunda implica&#231;&#227;o dessa estrutura de receita, menos discutida do que a volatilidade, mas talvez mais relevante para compreender as escolhas or&#231;ament&#225;rias do estado.</p><p>Os m&#237;nimos constitucionais de gastos em sa&#250;de e educa&#231;&#227;o, de 12% e 25%, respectivamente, para estados, incidem sobre a receita tribut&#225;ria e as transfer&#234;ncias federais constitucionais vinculadas a impostos (arts. 198 e 212 da Constitui&#231;&#227;o). A receita patrimonial, categoria na qual se classificam royalties e participa&#231;&#245;es especiais do petr&#243;leo, n&#227;o comp&#245;e essa base de c&#225;lculo.</p><p>Na pr&#225;tica, isso significa que o Rio de Janeiro tem, em tese, maior liberdade do que os demais estados para decidir onde alocar uma fatia relevante da sua receita, justamente a fatia que mais cresceu na &#250;ltima d&#233;cada. A ressalva &#8220;em tese&#8221; se justifica por duas raz&#245;es. A primeira &#233; que o pr&#243;prio estado pode instituir vincula&#231;&#245;es pr&#243;prias, via constitui&#231;&#227;o estatual ou lei, que reduzam essa flexibilidade. A segunda, mais sutil, &#233; que essa flexibilidade apresenta uma natureza dupla: ela tamb&#233;m permite que os recursos sejam empregados em qualquer finalidade, incluindo despesas correntes de baixa qualidade, sem que a Constitui&#231;&#227;o imponha um direcionamento m&#237;nimo.</p><p></p><p><strong><span>O que o Rio fez com essa flexibilidade</span></strong></p><p>O primeiro teste dessa hip&#243;tese consiste em observar os gastos com sa&#250;de e educa&#231;&#227;o. Se a receita patrimonial de fato abre espa&#231;o para que o estado gaste menos nessas &#225;reas sem descumprir a Constitui&#231;&#227;o, seria de se esperar que o Rio de Janeiro gastasse proporcionalmente menos do que os demais estados, n&#227;o porque disponha de menos recursos, mas porque tem menor obriga&#231;&#227;o legal de aloc&#225;-los ali.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!EwxS!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!EwxS!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png 424w, /__u/substackcdn.com/image/fetch/$s_!EwxS!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png 848w, /__u/substackcdn.com/image/fetch/$s_!EwxS!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png 1272w, /__u/substackcdn.com/image/fetch/$s_!EwxS!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!EwxS!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png" width="927" height="522" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png 424w, /__u/substackcdn.com/image/fetch/$s_!EwxS!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png 848w, /__u/substackcdn.com/image/fetch/$s_!EwxS!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png 1272w, /__u/substackcdn.com/image/fetch/$s_!EwxS!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6634f3ca-8a05-4000-a2d8-1bf68973d9a2_927x522.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Os dados confirmam a hip&#243;tese. Em ambas as &#225;reas, o Rio de Janeiro gasta consistentemente menos, como propor&#231;&#227;o da Receita Corrente L&#237;quida (que inclui as receitas patrimoniais), do que a m&#233;dia dos demais estados, diferen&#231;a que se mant&#233;m relativamente est&#225;vel ao longo de toda a s&#233;rie, de 2018 a 2025.</p><p>Apesar de n&#227;o ser o ideal, isso n&#227;o constitui, por si s&#243;, um problema. A l&#243;gica econ&#244;mica de uma receita patrimonial oriunda de recursos naturais n&#227;o renov&#225;veis &#233; justamente permitir maior discricionariedade em rela&#231;&#227;o aos gastos correntes obrigat&#243;rios, sob a expectativa de que esses recursos sejam direcionados a investimentos capazes de compensar o exaurimento do patrim&#244;nio. No caso do Rio de Janeiro, se a produ&#231;&#227;o de petr&#243;leo tende a se esgotar no longo prazo, seria desej&#225;vel que esse patrim&#244;nio fosse substitu&#237;do por outros ativos capazes de gerar renda de forma permanente (como infraestrutura, fundo soberano, etc).</p><p>A quest&#227;o central passa a ser, ent&#227;o, se o Rio de Janeiro utilizou essa flexibilidade para elevar o investimento e acumular recursos para que ao fim, obtiv&#233;ssemos renda para realizar os t&#227;o necess&#225;rios gastos priorit&#225;rios como em sa&#250;de e educa&#231;&#227;o.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!xmfN!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!xmfN!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png 424w, /__u/substackcdn.com/image/fetch/$s_!xmfN!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png 848w, /__u/substackcdn.com/image/fetch/$s_!xmfN!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xmfN!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!xmfN!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png" width="925" height="517" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png 424w, /__u/substackcdn.com/image/fetch/$s_!xmfN!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png 848w, /__u/substackcdn.com/image/fetch/$s_!xmfN!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xmfN!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4edf7bcf-dd93-4845-817e-9e7d439fe76e_925x517.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A resposta &#233; negativa. Ao contr&#225;rio, o Rio de Janeiro investe sistematicamente menos do que a m&#233;dia dos demais estados, diferen&#231;a que se aprofunda de forma ainda mais acentuada a partir de 2022, justamente quando a receita patrimonial atingiu seu pico hist&#243;rico. Enquanto a m&#233;dia dos demais estados aproveitou o per&#237;odo posterior &#224; pandemia para elevar o investimento a mais de 10% da RCL, o Rio de Janeiro permaneceu em patamar relativamente baixo.</p><p>Al&#233;m disso, o fundo soberano do estado do Rio de Janeiro hoje possui alguns poucos bilh&#245;es e n&#227;o vem sendo capaz de acumular saldos relevantes (na pr&#225;tica, a reda&#231;&#227;o da lei complementar 200/2022 do ERJ sugere que, apesar do nome, o fundo tem natureza mais de estabiliza&#231;&#227;o das receitas do que de acumula&#231;&#227;o) . Mais que isso, o Estado do Rio de Janeiro ao inv&#233;s de acumular ativos vem na pr&#225;tica aumentando sua d&#237;vida, tornando-se o estado o mais endividado do Brasil.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!rog3!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!rog3!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png 424w, /__u/substackcdn.com/image/fetch/$s_!rog3!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png 848w, /__u/substackcdn.com/image/fetch/$s_!rog3!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png 1272w, /__u/substackcdn.com/image/fetch/$s_!rog3!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!rog3!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png" width="691" height="366" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png 424w, /__u/substackcdn.com/image/fetch/$s_!rog3!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png 848w, /__u/substackcdn.com/image/fetch/$s_!rog3!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png 1272w, /__u/substackcdn.com/image/fetch/$s_!rog3!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7f85186-0b79-447a-b411-7e240c9ef806_691x366.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Ao reunir os dois gr&#225;ficos, o retrato que emerge &#233; claro: o Rio de Janeiro gasta menos com sa&#250;de e educa&#231;&#227;o do que a m&#233;dia nacional, mas n&#227;o direciona essa diferen&#231;a para investimento. O espa&#231;o fiscal aberto pela receita patrimonial parece ter sido absorvido, em boa medida, por despesas correntes de outra natureza.</p><p></p><p><strong><span>Considera&#231;&#245;es finais</span></strong></p><p>O Rio de Janeiro possui uma estrutura de receita genuinamente distinta da dos demais entes federativos, e essa diferen&#231;a carrega tanto riscos quanto oportunidades. O risco mais evidente &#233; a volatilidade: a depend&#234;ncia do petr&#243;leo implica sujei&#231;&#227;o ao ciclo de um pre&#231;o internacional que o estado n&#227;o controla, ainda que a trajet&#243;ria de produ&#231;&#227;o sugira algum vi&#233;s de alta nos pr&#243;ximos anos, mantidas as demais condi&#231;&#245;es constantes.</p><p>A oportunidade, menos discutida, &#233; a potencial maior flexibilidade alocativa gerada pelo fato de a receita patrimonial. Essa flexibilidade poderia, e deveria, ter sido empregada para elevar o investimento p&#250;blico a um patamar acima da m&#233;dia nacional, dado o car&#225;ter finito da fonte de recursos. Os dados mostram que isso n&#227;o ocorreu: o estado gasta menos em sa&#250;de e educa&#231;&#227;o, mas tamb&#233;m investe menos do que os demais, o que sugere que o espa&#231;o fiscal aberto pelo petr&#243;leo foi majoritariamente consumido por despesas correntes em outras &#225;reas.</p><p>Para retomar uma trajet&#243;ria de desenvolvimento mais robusta, o estado enfrenta, portanto, dois desafios que n&#227;o se excluem mutuamente. O primeiro &#233; o ajuste fiscal propriamente dito, dado o hist&#243;rico recente de dificuldades nas contas p&#250;blicas fluminenses. O segundo, menos comentado, mas igualmente urgente, consiste em reorientar a composi&#231;&#227;o do gasto p&#250;blico, direcionando uma fatia maior dos recursos, sobretudo os de origem patrimonial, para investimento. Cumprir apenas o primeiro desafio e negligenciar o segundo significaria desperdi&#231;ar a principal vantagem comparativa que a estrutura de receita do Rio de Janeiro oferece: a possibilidade de transformar um recurso natural finito em capital permanente para a popula&#231;&#227;o fluminense.</p>]]></content:encoded></item><item><title><![CDATA[A Evolução da Produção de Petróleo no Estado do Rio de Janeiro ]]></title><description><![CDATA[E a divis&#227;o da produ&#231;&#227;o por munic&#237;pio]]></description><link>https://andresennaduarte.substack.com/p/a-evolucao-da-producao-de-petroleo</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/a-evolucao-da-producao-de-petroleo</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Thu, 02 Jul 2026 16:15:14 GMT</pubDate><enclosure url="https://substack-post-media.s3.amazonaws.com/public/images/6071bf82-a6b3-4fa3-afae-79c99b477240_1200x630.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><p>O Rio de Janeiro &#233;, de longe, o maior produtor de petr&#243;leo do pa&#237;s. Ali&#225;s, se o Estado fosse considerado um pa&#237;s, hoje j&#225; seria o nono maior produtor de petr&#243;leo do mundo. Em maio de 2026, a produ&#231;&#227;o fluminense atingiu 3,6 milh&#245;es de barris por dia, e vem crescendo de forma acelerada sobretudo desde 2020.</p><p>Neste texto, busco reconstruir essa trajet&#243;rias, e, na sequ&#234;ncia, mostrar como essa produ&#231;&#227;o se distribui entre os munic&#237;pios do litoral do Estado. Trata-se de um recorte menos discutido, mas que &#233; essencial para entender a distribui&#231;&#227;o dos royalties e participa&#231;&#245;es especiais, bem como a din&#226;mica econ&#244;mica de diferentes regi&#245;es do Estado.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!Jq-o!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2c778393-6814-4cfd-9143-fc2b02c59094_967x547.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!Jq-o!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/substackcdn.com/image/fetch/$s_!Jq-o!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2c778393-6814-4cfd-9143-fc2b02c59094_967x547.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!Jq-o!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2c778393-6814-4cfd-9143-fc2b02c59094_967x547.png" width="560" height="316.77352637021716" 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/__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2c778393-6814-4cfd-9143-fc2b02c59094_967x547.png 424w, /__u/substackcdn.com/image/fetch/$s_!Jq-o!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2c778393-6814-4cfd-9143-fc2b02c59094_967x547.png 848w, /__u/substackcdn.com/image/fetch/$s_!Jq-o!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2c778393-6814-4cfd-9143-fc2b02c59094_967x547.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Jq-o!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2c778393-6814-4cfd-9143-fc2b02c59094_967x547.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><strong><span>Evolu&#231;&#227;o da Produ&#231;&#227;o</span></strong></p><p>A s&#233;rie mensal mostra que<span> </span>a produ&#231;&#227;o fluminense passou por ao menos tr&#234;s fases distintas desde 1997. Entre o fim dos anos 1990 e meados dos anos 2000, houve um crescimento importante, sustentado majoritariamente pelos campos, hoje maduros, da Bacia de Campos. J&#225; entre 2010 e 2018, a produ&#231;&#227;o praticamente estagnou em torno de 1,5 a 1,8 milh&#227;o de barris por dia, refletindo o decl&#237;nio natural desses campos antigos e o atraso na entrada em opera&#231;&#227;o dos primeiros projetos do pr&#233;-sal. &#201; a partir da segunda metade da d&#233;cada passada, contudo, que a curva de produ&#231;&#227;o muda de dire&#231;&#227;o. Em pouco mais de dez anos, a produ&#231;&#227;o mais que dobrou.</p><p>Esse salto recente fica evidente quando comparamos apenas dois pontos no tempo. Entre janeiro de 2022 e maio de 2026, a produ&#231;&#227;o do Rio de Janeiro saltou de 2,49 para 3,67 milh&#245;es de barris por dia, um crescimento impressionante de quase 1,2 milh&#227;o de barris/dia em um per&#237;odo curto de tempo. Para efeito de compara&#231;&#227;o, a produ&#231;&#227;o somada de todos os demais estados brasileiros passou de 0,54 para apenas 0,63 milh&#227;o de barris/dia no mesmo per&#237;odo. Isto &#233;, praticamente todo o crescimento marginal da produ&#231;&#227;o brasileira de petr&#243;leo nos &#250;ltimos anos veio do Rio de Janeiro.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!pnEx!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3ddbee92-9c62-48c9-a8ae-01f8c895039c_1041x631.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!pnEx!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3ddbee92-9c62-48c9-a8ae-01f8c895039c_1041x631.png 424w, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3ddbee92-9c62-48c9-a8ae-01f8c895039c_1041x631.png 1272w, /__u/substackcdn.com/image/fetch/$s_!pnEx!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3ddbee92-9c62-48c9-a8ae-01f8c895039c_1041x631.png 1456w" sizes="100vw"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Este aumento forte de produ&#231;&#227;o de petr&#243;leo no per&#237;odo no ERJ mascara uma din&#226;mica interna do Estado importante. A Bacia de Campos, que historicamente foi sin&#244;nimo da produ&#231;&#227;o de petr&#243;leo no Brasil, j&#225; n&#227;o &#233; mais a principal respons&#225;vel pelo volume fluminense, enfrentando longo per&#237;odo de decad&#234;ncia. Desde 2019, a Bacia de Santos, onde est&#227;o os principais campos do pr&#233;-sal, ultrapassou Campos e hoje responde pela maior parte da produ&#231;&#227;o do Estado. O gr&#225;fico de &#225;rea abaixo mostra essa invers&#227;o: Campos segue relevante e agora estagnado, enquanto Santos &#233; a bacia que explica todo o crescimento recente.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!lhnM!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6ed93f02-c4b2-4783-8cb2-5d18e8824718_927x507.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!lhnM!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6ed93f02-c4b2-4783-8cb2-5d18e8824718_927x507.png 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/__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6ed93f02-c4b2-4783-8cb2-5d18e8824718_927x507.png 424w, /__u/substackcdn.com/image/fetch/$s_!lhnM!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6ed93f02-c4b2-4783-8cb2-5d18e8824718_927x507.png 848w, /__u/substackcdn.com/image/fetch/$s_!lhnM!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6ed93f02-c4b2-4783-8cb2-5d18e8824718_927x507.png 1272w, /__u/substackcdn.com/image/fetch/$s_!lhnM!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6ed93f02-c4b2-4783-8cb2-5d18e8824718_927x507.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Olhando para os campos individualmente, essa mudan&#231;a pode ser analisada com mais riqueza de detalhes. Marlim, que j&#225; fora o maior campo do Brasil na Bacia de Campos nos anos 2000, est&#225; em trajet&#243;ria de decl&#237;nio h&#225; duas d&#233;cadas. Em seu lugar, surgem os campos associados ao pr&#233;-sal. Tupi lidera isoladamente a produ&#231;&#227;o fluminense desde 2011, mas o dado mais interessante dos &#250;ltimos anos &#233; a ascens&#227;o de B&#250;zios e Mero, que explicam boa parte do novo ciclo de crescimento observado a partir de 2022.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!xzbC!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!xzbC!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png 424w, /__u/substackcdn.com/image/fetch/$s_!xzbC!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png 848w, /__u/substackcdn.com/image/fetch/$s_!xzbC!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xzbC!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!xzbC!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png" width="568" height="308.25513513513516" 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/__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png 424w, /__u/substackcdn.com/image/fetch/$s_!xzbC!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png 848w, /__u/substackcdn.com/image/fetch/$s_!xzbC!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xzbC!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0952d07-562e-4508-8cf7-244a3902f9c6_925x502.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>Diferencia&#231;&#227;o por Mesorregi&#245;es</span></strong></p><p>At&#233; aqui, a produ&#231;&#227;o fluminense foi a analisada como um bloco &#250;nico. No entanto, para fins de arrecada&#231;&#227;o de royalties e participa&#231;&#245;es especiais, o que importa n&#227;o &#233; apenas o total produzido, e sim a que munic&#237;pio essa produ&#231;&#227;o &#233; atribu&#237;da, processo conhecido como confronta&#231;&#227;o proporcional, que a ANP realiza para calcular quanto de cada campo mar&#237;timo cabe a cada munic&#237;pio. Neste momento, a distribui&#231;&#227;o &#233; bastante concentrada. Em abril de 2026, Maric&#225; sozinho respondia por 33% da produ&#231;&#227;o confrontada do Estado, seguido por Saquarema, com 23,1%. Juntos, Maric&#225; e Saquarema, dois munic&#237;pios que at&#233; a d&#233;cada passada poucos tinham participa&#231;&#227;o reduzida nesse rateio, j&#225; concentram mais de metade de toda a produ&#231;&#227;o de petr&#243;leo confrontada do Rio de Janeiro.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!13vR!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86d8d42b-50fc-4bf5-b212-cfc418167d02_666x706.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!13vR!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86d8d42b-50fc-4bf5-b212-cfc418167d02_666x706.png 1272w, /__u/substackcdn.com/image/fetch/$s_!13vR!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86d8d42b-50fc-4bf5-b212-cfc418167d02_666x706.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>O diagrama de fluxo abaixo ajuda a entender de onde vem essa produ&#231;&#227;o atribu&#237;da a cada munic&#237;pio. Fica vis&#237;vel que campos como B&#250;zios, Tupi e Mero, justamente os que mais cresceram nos &#250;ltimos anos, como vimos no gr&#225;fico por campo, s&#227;o os principais respons&#225;veis por alimentar a produ&#231;&#227;o confrontada de Maric&#225;, Saquarema e Araruama, enquanto os campos mais antigos da Bacia de Campos seguem majoritariamente vinculados aos munic&#237;pios do Norte Fluminense, como Campos dos Goytacazes, Maca&#233; e Rio das Ostras.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!f6k0!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!f6k0!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png 424w, /__u/substackcdn.com/image/fetch/$s_!f6k0!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png 848w, /__u/substackcdn.com/image/fetch/$s_!f6k0!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png 1272w, /__u/substackcdn.com/image/fetch/$s_!f6k0!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!f6k0!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png" width="620" height="340.304932735426" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png 424w, /__u/substackcdn.com/image/fetch/$s_!f6k0!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png 848w, /__u/substackcdn.com/image/fetch/$s_!f6k0!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png 1272w, /__u/substackcdn.com/image/fetch/$s_!f6k0!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbc192214-5e03-4e55-a0c1-9d9418260c85_1115x612.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Este movimento de concentra&#231;&#227;o dever&#225; continuar em torno da chamada Baixada Litor&#226;nea dado a ascens&#227;o da produ&#231;&#227;o em curso. Apenas no &#250;ltimo ano, a varia&#231;&#227;o ano a ano entre abril de 2025 e abril de 2026 confirma que esse movimento. Saquarema teve um aumento de 184,2 mil barris/dia, Maric&#225; cresceu 109,8 mil e Araruama, 101 mil. J&#225; os munic&#237;pios historicamente produtores do Norte Fluminense, como Campos dos Goytacazes e Maca&#233;, praticamente estagnaram, com varia&#231;&#245;es de apenas 2,1 e 5,3 mil barris/dia, respectivamente.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!wcXJ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff84c1ff0-81b4-4d11-b399-9a0bd2ea9fef_932x510.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!wcXJ!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff84c1ff0-81b4-4d11-b399-9a0bd2ea9fef_932x510.png 1272w, /__u/substackcdn.com/image/fetch/$s_!wcXJ!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff84c1ff0-81b4-4d11-b399-9a0bd2ea9fef_932x510.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Essa mudan&#231;a de eixo geogr&#225;fico tamb&#233;m aparece de forma clara quando agregamos os munic&#237;pios por mesorregi&#227;o. A Regi&#227;o Metropolitana do Rio de Janeiro, que engloba Maric&#225; e Niter&#243;i e Araruama e a Baixada Litor&#226;nea que abarca Saquarema, Araruama e Arraial do Cabo ultrapassaram ambas em larga escala o Norte Fluminense em produ&#231;&#227;o. O Norte Fluminense, por sua vez, regi&#227;o historicamente identificada com o petr&#243;leo no imagin&#225;rio fluminense, est&#225; em decl&#237;nio relativo praticamente ininterrupto desde 2010.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!SoYB!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F55888ece-e8ba-419d-b185-b9b0922ac912_1070x557.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!SoYB!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F55888ece-e8ba-419d-b185-b9b0922ac912_1070x557.png 1272w, /__u/substackcdn.com/image/fetch/$s_!SoYB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F55888ece-e8ba-419d-b185-b9b0922ac912_1070x557.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong><span>Considera&#231;&#245;es finais</span></strong></p><p>Em suma, os dados da ANP mostram uma tripla transi&#231;&#227;o em curso na produ&#231;&#227;o de petr&#243;leo. A continua ascens&#227;o do Rio de Janeiro frente ao pa&#237;s est&#225; em destaque cada vez mais evidente. A segunda &#233; a migra&#231;&#227;o do eixo produtivo da Bacia de Campos, madura, para a Bacia de Santos, ainda em plena expans&#227;o com o avan&#231;o da produ&#231;&#227;o no pr&#233;-sal. A terceira transi&#231;&#227;o &#233; a geogr&#225;fica e pol&#237;tica: a migra&#231;&#227;o da renda petrol&#237;fera do Norte Fluminense, regi&#227;o que por d&#233;cadas concentrou os debates sobre royalties no Estado, para os munic&#237;pios da Regi&#227;o Metropolitana e da Baixada Litor&#226;nea. Essa realoca&#231;&#227;o progressiva da base de arrecada&#231;&#227;o tende a se tornar, nos pr&#243;ximos anos, um tema central da disputa distributiva tanto do ponto de vista da Federa&#231;&#227;o quanto do ponto de vista interno do Estado.</p>]]></content:encoded></item><item><title><![CDATA[O Rio de Janeiro e os Riscos Decorrentes da Análise da Constitucionalidade da Lei nº 12.734/2012 pelo STF]]></title><description><![CDATA[Em caso de decis&#227;o desfavor&#225;vel, o risco do estado falir &#233; real]]></description><link>https://andresennaduarte.substack.com/p/o-rio-de-janeiro-e-os-riscos-decorrentes</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/o-rio-de-janeiro-e-os-riscos-decorrentes</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Tue, 05 May 2026 15:45:41 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!aUor!,w_256,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F950cea3e-82c8-40a0-b6ea-b65997a49938_400x400.jpeg" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!F44K!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faad3477b-0173-4d9c-b745-c2305fd929be_412x271.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!F44K!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faad3477b-0173-4d9c-b745-c2305fd929be_412x271.png 1272w, /__u/substackcdn.com/image/fetch/$s_!F44K!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faad3477b-0173-4d9c-b745-c2305fd929be_412x271.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p style="text-align: justify;">Se o Estado do Rio de Janeiro fosse um pa&#237;s, hoje ele seria o nono maior produtor de petr&#243;leo do mundo. Nos &#250;ltimos dez anos, apenas os EUA tiveram expans&#227;o da produ&#231;&#227;o maior que a do estado. Em qualquer regi&#227;o do mundo, este desempenho excepcional seria sin&#244;nimo de progresso e melhores condi&#231;&#245;es de vida. No entanto, n&#227;o &#233; o que acontece no Rio de Janeiro. O Estado combina um sucesso extraordin&#225;rio na produ&#231;&#227;o de petr&#243;leo com uma crise econ&#244;mica, social e pol&#237;tica que se arrasta h&#225; mais de uma d&#233;cada. E esta crise pode tomar contornos dram&#225;ticos se o STF entender pela constitucionalidade dos dispositivos da Lei n&#186; 12.734/2012 que alteram a distribui&#231;&#227;o dos royalties.</p><p style="text-align: justify;">A Constitui&#231;&#227;o de 1988 assegurou a estados e munic&#237;pios participa&#231;&#227;o no resultado da explora&#231;&#227;o de petr&#243;leo e g&#225;s natural. Embora n&#227;o explicitamente definida como tal, essa participa&#231;&#227;o tem natureza compensat&#243;ria, uma vez que a pr&#243;pria Constitui&#231;&#227;o excluiu a incid&#234;ncia de ICMS na origem sobre petr&#243;leo e seus derivados. Al&#233;m disso, essa compensa&#231;&#227;o tamb&#233;m se justifica pelos impactos econ&#244;micos, sociais e ambientais que a atividade petrol&#237;fera imp&#245;e aos territ&#243;rios produtores e adjacentes.</p><p style="text-align: justify;">Com a descoberta do pr&#233;-sal, ampliou-se o incentivo para a Uni&#227;o reconfigurar a apropria&#231;&#227;o da renda petrol&#237;fera em detrimento do Rio de Janeiro. Esse movimento n&#227;o apenas ganhou for&#231;a, como se materializou. O primeiro passo foi a cria&#231;&#227;o da cess&#227;o onerosa por meio da Lei n&#186; 12.276/2010, que permitiu &#224; Uni&#227;o antecipar receitas ao transferir &#224; Petrobras o direito de explorar em troca de pagamento imediato at&#233; cinco bilh&#245;es de barris. Nesse modelo, diferentemente do regime de concess&#227;o, n&#227;o h&#225; pagamento de participa&#231;&#227;o especial a estados e munic&#237;pios.</p><p style="text-align: justify;">Ao se constatar que o volume de barris era ainda maior do que antecipado, a Lei n&#186; 12.351/2010 criou um novo regime de partilha excepcional para o pr&#233;-sal. Dentro de toda a sua complexidade, na pr&#225;tica, o novo regime elevou novamente a fatia da Uni&#227;o e entes federativos n&#227;o-produtores em detrimento dos estados produtores.</p><p style="text-align: justify;">Esse impacto j&#225; pode ser observado. A produ&#231;&#227;o sob o regime de partilha encontra-se em franca expans&#227;o. Desde janeiro de 2022, embora a produ&#231;&#227;o no estado tenha aumentado em pouco mais de 1 milh&#227;o de barris por dia, atingindo cerca de 3,5 milh&#245;es de barris por dia, a receita consolidada do estado e dos munic&#237;pios do Rio de Janeiro com royalties e participa&#231;&#227;o especial, apurada pela ANP, recuou. Em 2022, essa receita somou R$ 49,5 bilh&#245;es, enquanto em 2025 atingiu R$ 45,0 bilh&#245;es. Em termos reais, a queda acumulada foi de 21,7% no per&#237;odo. Embora parte dessa redu&#231;&#227;o decorra da queda do pre&#231;o internacional do petr&#243;leo, o per&#237;odo coincide com um aumento relevante da arrecada&#231;&#227;o de receitas petrol&#237;feras diretas e indiretas pela Uni&#227;o.</p><p style="text-align: justify;">O terceiro passo no enfraquecimento do Estado do Rio de Janeiro foi a Lei n&#186; 12.734/2012, sendo este o potencial golpe derradeiro. Nesse caso, h&#225; previs&#227;o expressa de redu&#231;&#227;o significativa dos royalties destinados a estados e munic&#237;pios produtores, em benef&#237;cio dos n&#227;o produtores, n&#227;o apenas em contratos novos, mas tamb&#233;m nos contratos j&#225; em vigor. Apesar do veto da presidente Dilma ao dispositivo que previa a altera&#231;&#227;o dos contratos existentes, o Congresso promoveu a primeira derrubada de veto de sua administra&#231;&#227;o. Coube, ent&#227;o, ao STF suspender a efic&#225;cia desses dispositivos por meio de decis&#227;o liminar da ministra C&#225;rmen L&#250;cia.</p><p style="text-align: justify;">Se naquele momento a suspens&#227;o da redistribui&#231;&#227;o prevista na lei evitou que o Estado quebrasse, ainda em um quadro superavit&#225;rio, neste momento, o impacto &#233; potencialmente bem maior, n&#227;o apenas pelo quadro fiscal mais delicado, mas tamb&#233;m pelo ambiente de crises m&#250;ltiplas no Estado.</p><p style="text-align: justify;">Desde 2002, o desempenho da economia do Rio de Janeiro foi o segundo pior do pa&#237;s. Enquanto o setor agropecu&#225;rio apresentou forte expans&#227;o no Brasil, o setor fluminense foi o &#250;nico a registrar contra&#231;&#227;o. A ind&#250;stria de transforma&#231;&#227;o, por sua vez, tamb&#233;m teve o segundo pior desempenho. O setor de servi&#231;os tamb&#233;m apresentou fraco desempenho, sobretudo a partir de 2014. Nesse contexto, a ind&#250;stria extrativa foi a principal exce&#231;&#227;o e, mesmo com seu forte crescimento, n&#227;o foi capaz de evitar o fraco desempenho agregado do estado.</p><p style="text-align: justify;">O Estado do Rio de Janeiro, historicamente um polo de atra&#231;&#227;o de migrantes, passou a apresentar saldo migrat&#243;rio negativo, com sa&#237;da l&#237;quida de 167 mil pessoas entre 2017 e 2022, a maior entre todos os estados. O setor de educa&#231;&#227;o, em n&#237;vel estadual, apresentou forte deteriora&#231;&#227;o, com o pior IDEB do pa&#237;s no ensino m&#233;dio. O quadro de seguran&#231;a p&#250;blica tamb&#233;m se deteriorou progressivamente, com aumento relevante de &#225;reas e atividades dominadas pelo crime organizado, o que eleva custos para a produ&#231;&#227;o. Por exemplo, o seguro de frete pode ser at&#233; tr&#234;s vezes mais caro no estado do que no restante da regi&#227;o sudeste. Na mobilidade urbana, cinco das seis cidades com maior percentual de trabalhadores que levam mais de duas horas no deslocamento ao trabalho est&#227;o na regi&#227;o metropolitana do estado, resultado intimamente associado &#224; degrada&#231;&#227;o do sistema de trens.</p><p style="text-align: justify;">Nesse contexto, a din&#226;mica fiscal do Rio de Janeiro n&#227;o apenas se deteriorou desde a aprova&#231;&#227;o da Lei n&#186; 12.734/2012, como tamb&#233;m se tornou mais dependente dos recursos do petr&#243;leo. Atualmente, essas receitas representam cerca de 20% do total do estado, ante aproximadamente 10% &#224; &#233;poca. Al&#233;m disso, enquanto em 2012 o estado apresentava super&#225;vit fiscal, hoje registra d&#233;ficit relevante.</p><p style="text-align: justify;">O mesmo padr&#227;o se observa em diversos munic&#237;pios, muitos dos quais apresentam elevada depend&#234;ncia dessas receitas, sendo que, em alguns casos, essa depend&#234;ncia &#233; superior a 50% do total, como em Saquarema e Maric&#225;. Em v&#225;rias cidades, sobretudo na regi&#227;o Norte Fluminense, j&#225; h&#225; dificuldades fiscais relevantes, associadas ao decl&#237;nio da produ&#231;&#227;o na Bacia de Campos.</p><p style="text-align: justify;">Nesse contexto, a eventual valida&#231;&#227;o da Lei n&#186; 12.734/2012 pelo STF traria uma crise fiscal imediata ao Estado. N&#227;o apenas aprofundaria a trajet&#243;ria de fragiliza&#231;&#227;o econ&#244;mica e social, como tamb&#233;m consolidaria um processo de esvaziamento estrutural, reduzindo ainda mais sua capacidade de recupera&#231;&#227;o e de provis&#227;o de bens p&#250;blicos essenciais.</p><p style="text-align: justify;">Ademais, haveria uma importante li&#231;&#227;o para a federa&#231;&#227;o. Uma federa&#231;&#227;o funcional equilibra interesses majorit&#225;rios e minorit&#225;rios entre os entes. Nesse caso, a possibilidade de que uma maioria possa, na pr&#225;tica, inviabilizar financeiramente um ente federativo em busca de seus recursos constitui um precedente perigoso para o bom funcionamento do pa&#237;s.</p><p style="text-align: justify;">Nos &#250;ltimos anos, a principal explica&#231;&#227;o para a deteriora&#231;&#227;o do Estado do Rio de Janeiro tem sido a crise pol&#237;tica que assola o governo, bem exemplificada pela frequ&#234;ncia com que membros do alto escal&#227;o t&#234;m sido presos ou afastados do poder. Mais recentemente, no entanto, os desdobramentos pol&#237;ticos t&#234;m alimentado um crescente otimismo em torno de um poss&#237;vel &#8220;reset&#8221; do Estado, &#224; medida que se aproxima uma nova elei&#231;&#227;o. Ainda assim, todo esse movimento poder&#225; se revelar em v&#227;o caso o STF valide a cl&#225;usula de redistribui&#231;&#227;o prevista na Lei n&#186; 12.734/2012, consolidando uma mudan&#231;a adversa duradoura na base de receitas do Estado e dos munic&#237;pios do Rio de Janeiro.</p>]]></content:encoded></item><item><title><![CDATA[As Virtudes do Federalismo Americano e os Limites do Modelo no Brasil]]></title><description><![CDATA[O federalismo molda a vida dos brasileiros muito mais do que a maioria imagina.]]></description><link>https://andresennaduarte.substack.com/p/as-virtudes-do-federalismo-americano</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/as-virtudes-do-federalismo-americano</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Thu, 23 Apr 2026 21:06:27 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!bqzI!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F161076ec-76c2-43ac-89a0-e4f29697edb5_967x647.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!bqzI!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F161076ec-76c2-43ac-89a0-e4f29697edb5_967x647.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!bqzI!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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style="text-align: justify;"></p><p style="text-align: justify;">O federalismo molda a vida dos brasileiros muito mais do que a maioria imagina. Na pr&#225;tica, ele define como se distribuem os direitos e as responsabilidades entre os diferentes entes federativos do pa&#237;s: o governo central, os governos estaduais e, no caso particular do Brasil, os governos municipais.</p><p style="text-align: justify;">A partir dessa divis&#227;o, uma ampla gama de bens e servi&#231;os p&#250;blicos &#233; oferecida com maior ou menor efici&#234;ncia por diferentes n&#237;veis de governo. A forma como esses entes federativos interagem entre si e com a popula&#231;&#227;o &#233; fundamental para compreender a evolu&#231;&#227;o do pa&#237;s em diversas dimens&#245;es.</p><p style="text-align: justify;">O federalismo moderno nasce nos EUA como o elemento central original da Constitui&#231;&#227;o de 1789. O objetivo foi resolver um problema literalmente milenar de desenho institucional. Por um lado, enquanto as rep&#250;blicas pequenas tendiam a ter governos mais eficientes, tamb&#233;m eram mais fr&#225;geis militarmente e suscet&#237;veis a invas&#245;es estrangeiras. Por outro, militarmente fortes, os grandes imp&#233;rios tendiam a ter problemas de administra&#231;&#227;o e efici&#234;ncia, o que levava a press&#245;es internas que levavam &#224; desintegra&#231;&#227;o. O federalismo, em sua formula&#231;&#227;o original, busca, em ess&#234;ncia, conciliar a efici&#234;ncia de um governo menor com a capacidade militar e geopol&#237;tica de um grande pa&#237;s.</p><p style="text-align: justify;">Diferentemente da Constitui&#231;&#227;o dos Estados Unidos, o elemento central da Constitui&#231;&#227;o Federal brasileira de 1988 n&#227;o foi o federalismo, mas sim, e de forma plenamente justific&#225;vel, a prote&#231;&#227;o aos direitos individuais e coletivos, ap&#243;s um longo per&#237;odo de autoritarismo. Nesse contexto, a arquitetura do federalismo brasileiro na CF88 acabou seguindo uma trajet&#243;ria j&#225; observada desde o Estado Novo: a amplia&#231;&#227;o das atribui&#231;&#245;es da esfera federal e, simultaneamente, o enfraquecimento pol&#237;tico das regi&#245;es mais desenvolvidas do pa&#237;s.</p><p style="text-align: justify;">Neste texto, abordaremos as cinco virtudes do federalismo americano e como estes elementos se desenvolveram no modelo federalista adotado pelo Brasil.</p><p style="text-align: justify;"></p><p style="text-align: justify;"><strong>As Virtudes do Federalismo Americano</strong></p><p style="text-align: justify;">O federalismo americano apresenta cinco virtudes principais, segundo seus defensores:</p><p style="text-align: justify;">&#8226; Basti&#227;o dos direitos civis e da democracia.</p><p style="text-align: justify;">&#8226; Torna o governo mais sens&#237;vel &#224;s demandas dos cidad&#227;os, ao aproximar as decis&#245;es p&#250;blicas das demandas locais.</p><p style="text-align: justify;">&#8226; A maior proximidade com a sociedade tende a aumentar a efici&#234;ncia na provis&#227;o de bens p&#250;blicos.</p><p style="text-align: justify;">&#8226; Estimula a inova&#231;&#227;o institucional e a experimenta&#231;&#227;o de pol&#237;ticas p&#250;blicas.</p><p style="text-align: justify;">&#8226; Protege a livre iniciativa e a propriedade privada.</p><p style="text-align: justify;">Estas virtudes est&#227;o intimamente ligadas, uma refor&#231;ando a outra.</p><p style="text-align: justify;"></p><p style="text-align: justify;"><strong>Federalismo como um basti&#227;o para os direitos civis e para a democracia</strong></p><p style="text-align: justify;">A ideia de uma rep&#250;blica descentralizada na qual o poder central fosse contido est&#225; na ess&#234;ncia das discuss&#245;es na origem da Constitui&#231;&#227;o americana. Entre os <em>founding fathers</em> havia a genu&#237;na preocupa&#231;&#227;o de que o rei ingl&#234;s fosse substitu&#237;do por uma vers&#227;o americana, manifestada no poder central. Como escreveu Thomas Jefferson: &#8220;a verdadeira barreira para a nossa liberdade neste pa&#237;s s&#227;o os governos dos estados&#8221;. A ideia de estados fortes funcionaria como uma defesa contra uma tend&#234;ncia autorit&#225;ria do governo central de impor a sua vontade &#224; totalidade do pa&#237;s.</p><p style="text-align: justify;">Por outro lado, se houver a&#231;&#245;es por parte de um governo estadual contra os cidad&#227;os e a democracia como um todo, haveria a tend&#234;ncia de que estas a&#231;&#245;es ficassem em uma esp&#233;cie de quarentena, com menor risco de se espalhar para o restante do pa&#237;s. Limita-se o risco atrav&#233;s de um ecossistema cuja integra&#231;&#227;o entre eles &#233; limitada. Ademais, leis injustas em um estado podem ensejar um fluxo migrat&#243;rio de pessoas e capital para estados que n&#227;o as adotem. Esta din&#226;mica pressiona o estado a alterar sua rota.</p><p style="text-align: justify;">Diferentemente deste desenho, a falta de autonomia dos estados brasileiros sugere que as liberdades b&#225;sicas podem estar sempre amea&#231;adas pela imposi&#231;&#227;o de normas pelo centro. As normas que definem o dia a dia do cidad&#227;o no Brasil s&#227;o em sua grande maioria de natureza federal, enquanto nos EUA a maior parcela das normas vem do n&#237;vel estadual/local. Enquanto o Brasil adota c&#243;digos em esfera nacional, como o civil e o penal, os EUA possuem grande diversidade legislativa nessas esferas em n&#237;vel estadual. Da mesma forma, as regras administrativas do setor p&#250;blico, como contrata&#231;&#227;o de pessoas, bens e servi&#231;os, tamb&#233;m s&#227;o definidas localmente nos EUA. No caso brasileiro, esta estrutura institucional aumenta os riscos de captura do governo federal em detrimento dos interesses do cidad&#227;o.</p><p style="text-align: justify;">Ainda, abusos de poder por parte dos Poderes da Uni&#227;o enfrentam resist&#234;ncia nos estados americanos. J&#225; no Brasil, como a decis&#227;o final de tudo que afeta o cidad&#227;o ocorre na esfera federal, a chance de decis&#245;es violadoras de direitos b&#225;sicos &#233; maior, n&#227;o havendo um sistema de pesos e contrapesos entre os Poderes estaduais e federais.</p><p style="text-align: justify;">Al&#233;m disso, outra &#243;tica &#233; que um sistema federal permite que a expans&#227;o dos direitos individuais e coletivos possa se desenvolver atrav&#233;s de diferentes caminhos. Se o caminho atrav&#233;s do governo federal est&#225; momentaneamente fechado, um grupo que acredita ser razo&#225;vel determinado direito pode buscar um estado para a aprova&#231;&#227;o da norma ou pol&#237;tica p&#250;blica desejada. Desta forma, apesar de haver maior heterogeneidade de direitos entre cidad&#227;os dos diferentes estados, ao mesmo tempo h&#225; maiores possibilidades de que estes direitos encontrem caminhos para avan&#231;ar.</p><p style="text-align: justify;"></p><p style="text-align: justify;"><strong>Maior sensibilidade &#224;s demandas do cidad&#227;o</strong></p><p style="text-align: justify;">No federalismo americano, os estados s&#227;o mais capazes de entender as necessidades do cidad&#227;o e responder &#224;s suas demandas de forma satisfat&#243;ria do que o governo federal. Os cidad&#227;os de cada estado possuem demandas diferentes e os estados s&#227;o capazes de identificar essas demandas e adotar normas ou pol&#237;ticas p&#250;blicas que sejam adequadas para seus cidad&#227;os. Crises nos estados, como, por exemplo, de seguran&#231;a p&#250;blica, levam &#224; rea&#231;&#227;o das autoridades locais, que podem mudar o or&#231;amento ou at&#233; mesmo mudar a legisla&#231;&#227;o pertinente.</p><p style="text-align: justify;">No caso brasileiro, a impossibilidade de mudar a grande maioria dos estatutos que regem a vida coletiva faz com que crises locais n&#227;o tenham resposta do sistema pol&#237;tico. Para que situa&#231;&#245;es que pare&#231;am injustas alterem o status quo, &#233; necess&#225;rio que o evento local tenha impacto nacional e, assim, mude a agenda do pa&#237;s. Al&#233;m disso, o quadro normativo brasileiro possibilita poucas altera&#231;&#245;es no or&#231;amento, com a maioria dos gastos j&#225; pr&#233;-determinados. Desta forma, a capacidade de alterar a aloca&#231;&#227;o de recursos no Brasil &#233; extremamente limitada por imposi&#231;&#227;o da Uni&#227;o aos estados e munic&#237;pios.</p><p style="text-align: justify;"></p><p style="text-align: justify;"><strong>A maior proximidade com a sociedade tende a aumentar a efici&#234;ncia na provis&#227;o de bens p&#250;blicos</strong></p><p style="text-align: justify;">Assim como o poder local tem maior capacidade de entender as necessidades da popula&#231;&#227;o, tamb&#233;m &#233; capaz de prover de forma mais eficiente os bens p&#250;blicos necess&#225;rios. &#201; mais f&#225;cil para a administra&#231;&#227;o local identificar onde o poder p&#250;blico &#233; mais necess&#225;rio e canalizar esfor&#231;os nessa dire&#231;&#227;o. A capilaridade para prover servi&#231;os dos governos estaduais &#233; fundamental para identificar demandas e supri-las da forma adequada. Nos EUA, a grande maioria dos servi&#231;os p&#250;blicos &#233; provida pelo governo estadual ou pelas cidades.</p><p style="text-align: justify;">No Brasil, a exist&#234;ncia de in&#250;meros projetos federais decididos diretamente de Bras&#237;lia encontra dificuldades pr&#225;ticas de implementa&#231;&#227;o. O distanciamento do governo federal com rela&#231;&#227;o &#224; popula&#231;&#227;o explica por que certos projetos funcionam em uma localidade, mas n&#227;o funcionam em outra. Projetos de infraestrutura, por exemplo, do governo federal, tipicamente apresentam problemas e muitas vezes s&#227;o interrompidos pelo Tribunal de Contas da Uni&#227;o, pelo Judici&#225;rio federal ou pela CGU. Estando todos esses &#243;rg&#227;os em Bras&#237;lia, n&#227;o h&#225; prioridade nem press&#227;o para que os problemas sejam resolvidos e os projetos avancem.</p><p style="text-align: justify;">Nos EUA, quando o governo federal decide um projeto de interesse nacional, ele n&#227;o for&#231;a o estado a adotar certa pol&#237;tica. Pelo contr&#225;rio, o governo federal incentiva. Nos EUA, as pol&#237;ticas federais em grande parte s&#227;o realizadas atrav&#233;s dos chamados<em> grants</em>. Atrav&#233;s desse mecanismo, o governo federal adota um programa de natureza volunt&#225;ria. Caso o estado decida participar, o governo federal concede um valor para o estado que dever&#225; seguir as prerrogativas daquele projeto, mas a maior parte da implementa&#231;&#227;o fica a cargo do pr&#243;prio estado. Neste modelo, o quanto &#233; decidido em n&#237;vel estadual e em n&#237;vel federal mostra a igualdade entre as partes em uma negocia&#231;&#227;o. Tipicamente, os democratas preferem que a maioria das regras dos programas sejam estabelecidas em n&#237;vel federal, enquanto os republicanos em n&#237;vel estadual. No entanto, frisa-se, a participa&#231;&#227;o do estado nos programas ocorre de forma volunt&#225;ria.</p><p style="text-align: justify;">No Brasil, o governo central imp&#245;e as regras. Isto significa que, por exemplo, parte relevante do or&#231;amento n&#227;o pode ser decidida localmente. Existem gastos m&#237;nimos altos em educa&#231;&#227;o e sa&#250;de iguais para todos os estados e munic&#237;pios. No entanto, a contradi&#231;&#227;o &#233; clara: enquanto existem &#225;reas do pa&#237;s com popula&#231;&#227;o jovem, existem outras com idade m&#233;dia bastante avan&#231;ada. Naturalmente, a composi&#231;&#227;o dos gastos em sa&#250;de e educa&#231;&#227;o deveria levar em conta a estrutura et&#225;ria local. Al&#233;m disso, h&#225; imposi&#231;&#227;o de percentuais de gastos em subsetores. Tudo isso leva a um engessamento da m&#225;quina p&#250;blica.</p><p style="text-align: justify;">Outra quest&#227;o &#233; que o direito administrativo no pa&#237;s &#233; basicamente federal. Isso cria restri&#231;&#245;es importantes sobre como gerir os servidores p&#250;blicos e como contratar bens e servi&#231;os. Com o maior distanciamento do p&#250;blico com rela&#231;&#227;o ao governo, a chance de a&#231;&#227;o de grupos de interesses corporativos terem sucesso tamb&#233;m aumenta.</p><p style="text-align: justify;"></p><p style="text-align: justify;"><strong>Estimula a inova&#231;&#227;o institucional e a experimenta&#231;&#227;o de pol&#237;ticas p&#250;blicas</strong></p><p style="text-align: justify;">Uma das quest&#245;es mais interessantes sobre o sistema federativo americano &#233; a possibilidade de diverg&#234;ncia das institui&#231;&#245;es em cada estado, criando ambientes de experimenta&#231;&#227;o de pol&#237;ticas p&#250;blicas que jamais seriam poss&#237;veis no Brasil. Este elemento fortalece o pa&#237;s como um todo e tamb&#233;m a pr&#243;pria democracia.</p><p style="text-align: justify;">Nos EUA, uma inova&#231;&#227;o &#233; mais facilmente testada, como, por exemplo, uma nova legisla&#231;&#227;o ou uma nova pol&#237;tica p&#250;blica, com baixa probabilidade de ser impedida pela Uni&#227;o (por exemplo, via Judici&#225;rio). Este ambiente cria a possibilidade de avaliar aquela inova&#231;&#227;o. Caso a inova&#231;&#227;o d&#234; certo, ela tende a ser copiada pelos demais estados. Caso contr&#225;rio, o estado que a criou tende a abandon&#225;-la.</p><p style="text-align: justify;">No Brasil, boas ideias na gest&#227;o da coisa p&#250;blica morrem ainda no papel. A dificuldade de inova&#231;&#227;o em n&#237;vel municipal e estadual, por necessidade de cumprir as determina&#231;&#245;es e amarras da Uni&#227;o, impede que boas ideias se tornem realidade. A preocupa&#231;&#227;o de que os estados e munic&#237;pios n&#227;o errem no Brasil criou institui&#231;&#245;es que n&#227;o t&#234;m o direito de tentar acertar.</p><p style="text-align: justify;"></p><p style="text-align: justify;"><strong>Protege a livre iniciativa e a propriedade privada</strong></p><p style="text-align: justify;">A capacidade de um federalismo descentralizado de promover o desenvolvimento econ&#244;mico &#233; talvez uma das suas maiores qualidades. Estados que adotem pol&#237;ticas econ&#244;micas desfavor&#225;veis ao empreendedorismo e n&#227;o protejam a propriedade privada estar&#227;o em desvantagem consider&#225;vel com rela&#231;&#227;o aos estados que abra&#231;am o desenvolvimento econ&#244;mico e protegem a propriedade privada.</p><p style="text-align: justify;">Em ess&#234;ncia, quando o federalismo &#233; descentralizado, o monop&#243;lio estatal exercido sobre a popula&#231;&#227;o &#233; enfraquecido. Isto &#233;, o poder de barganha da sociedade civil aumenta com rela&#231;&#227;o ao setor p&#250;blico.</p><p style="text-align: justify;">Os eventos recentes nos EUA ilustram bem esta din&#226;mica. Enquanto um conjunto de estados nos EUA, geralmente sob controle do Partido Democrata, est&#225; adotando pol&#237;ticas de aumento de impostos e regula&#231;&#245;es desfavor&#225;veis ao empreendedor, o oposto vem acontecendo nos estados republicanos. O resultado disso &#233; que pessoas, empresas e capital est&#227;o migrando dos estados democratas para os republicanos nos &#250;ltimos anos. Esta din&#226;mica desfavor&#225;vel para os estados democratas gera, ao mesmo tempo, press&#227;o para estes estados reverem ou limitarem tais pol&#237;ticas.</p><p style="text-align: justify;">No Brasil, a din&#226;mica &#233; oposta. Um estado mais pobre que deseje se desenvolver e adotar pol&#237;ticas amig&#225;veis economicamente ir&#225; encontrar uma s&#233;rie de restri&#231;&#245;es quanto ao que poder&#225; fazer. Diante das dificuldades de se diferenciar para atrair e estimular os empreendedores, as elites locais preferem outro caminho: buscar em Bras&#237;lia mais recursos para sustentar. E justamente pela fraqueza dos estados mais fortes economicamente na pol&#237;tica federativa do Brasil, a obten&#231;&#227;o de recursos federais &#233; prontamente atendida.</p><p style="text-align: justify;">O resultado &#233; a perpetua&#231;&#227;o de uma elite pol&#237;tica estadual extrativa de recursos da Uni&#227;o, com baixo incentivo &#224; moderniza&#231;&#227;o. Curiosamente, esta elite local, apesar de ser capaz de obter recursos da Uni&#227;o, n&#227;o os utiliza para o desenvolvimento local, mas sim para a estabiliza&#231;&#227;o do status quo dos respectivos estados.</p><p style="text-align: justify;"><strong>Considera&#231;&#245;es Finais: Mais Brasil, menos Bras&#237;lia</strong></p><p style="text-align: justify;">&#8220;Mais Brasil, Menos Bras&#237;lia&#8221; &#233; um lema que ganhou for&#231;a nos &#250;ltimos anos no pa&#237;s, sendo fruto de um desejo genu&#237;no por maior autonomia. No entanto, o termo tem sido empregado por parte do sistema pol&#237;tico de forma equivocada, invertendo sua inten&#231;&#227;o inicial. Os estados terem mais for&#231;a n&#227;o significa que a Uni&#227;o dever&#225; enviar mais recursos para os estados. Pelo contr&#225;rio, fazer isso torna os estados menos aut&#244;nomos da Uni&#227;o. Caminhar nesta dire&#231;&#227;o &#233; enfraquecer o federalismo, e n&#227;o fortalec&#234;-lo.</p><p style="text-align: justify;">Para o pa&#237;s usufruir dos benef&#237;cios reais de um sistema federativo genu&#237;no, o governo central precisa abrir m&#227;o de diversas prerrogativas, conferindo autonomia aos estados para criar e organizar suas institui&#231;&#245;es, legisla&#231;&#245;es e or&#231;amentos nas mais diversas &#225;reas. Em outras palavras, trata-se de o governo central abrir m&#227;o de poder e, ao mesmo tempo, criar as condi&#231;&#245;es para que os estados se tornem menos dependentes da Uni&#227;o e se autogovernem.</p>]]></content:encoded></item><item><title><![CDATA[Por que os Títulos Públicos nos EUA e no Brasil Desempenham Papéis Diferentes em Uma Carteira de Investimento?]]></title><description><![CDATA[A correla&#231;&#227;o entre os ativos de renda vari&#225;vel e renda fixa &#233; diferente nos dois pa&#237;ses, sobretudo em momentos extremos.]]></description><link>https://andresennaduarte.substack.com/p/por-que-os-titulos-publicos-nos-eua</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/por-que-os-titulos-publicos-nos-eua</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Thu, 02 Apr 2026 10:50:48 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!xmEy!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4f122aad-92b7-4535-91a4-3cee49013e94_837x487.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!xmEy!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4f122aad-92b7-4535-91a4-3cee49013e94_837x487.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!xmEy!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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style="text-align: justify;">Um dos princ&#237;pios mais conhecidos das finan&#231;as &#233; a diversifica&#231;&#227;o. A ideia &#233; simples: combinar ativos diferentes tende a reduzir o risco da carteira, o que permite, ao mesmo tempo, escolher carteiras com maior retorno esperado para um mesmo n&#237;vel de risco.</p><p style="text-align: justify;">No entanto, esse princ&#237;pio depende de um elemento central &#8212; a correla&#231;&#227;o entre os ativos. Quando dois ativos n&#227;o se movem juntos, ou se movem em dire&#231;&#245;es opostas, a capacidade de uma carteira diversificada reduzir o risco &#233; maior. Esse racioc&#237;nio est&#225; por tr&#225;s de toda a teoria moderna de portf&#243;lio.</p><p style="text-align: justify;">A correla&#231;&#227;o linear &#233; a medida mais tradicional utilizada na literatura para avaliar &#8220;o quanto dois ativos andam juntos&#8221;. O coeficiente de correla&#231;&#227;o linear varia entre -1 e 1. Quando o valor &#233; negativo, os ativos tendem a ter comportamentos distintos, sendo -1 o caso de movimentos perfeitamente opostos. Quando a correla&#231;&#227;o &#233; zero, n&#227;o h&#225; rela&#231;&#227;o entre os movimentos. Por fim, quando o valor &#233; positivo, um par de ativos tende a variar em conjunto, sendo 1 o caso de sincronia perfeita nessa m&#233;trica.</p><p style="text-align: justify;">Abaixo, apresenta-se a matriz de correla&#231;&#227;o que mostra a correla&#231;&#227;o linear para diferentes pares de ativos. A primeira matriz mostra a correla&#231;&#227;o de ativos selecionados nos EUA, enquanto a segunda mostra a mesma an&#225;lise para o Brasil.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!3T9D!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e15d953-e9bc-457a-8b57-659d2c5068fb_732x483.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!3T9D!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e15d953-e9bc-457a-8b57-659d2c5068fb_732x483.png 424w, 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xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!xLln!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!xLln!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png 424w, /__u/substackcdn.com/image/fetch/$s_!xLln!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png 848w, /__u/substackcdn.com/image/fetch/$s_!xLln!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xLln!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!xLln!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png" width="737" height="442" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:442,&quot;width&quot;:737,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:40664,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/192944645?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!xLln!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png 424w, /__u/substackcdn.com/image/fetch/$s_!xLln!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png 848w, /__u/substackcdn.com/image/fetch/$s_!xLln!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xLln!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fea5fb2cc-c6cf-4bd8-bd18-81b4842c1a86_737x442.png 1456w" sizes="100vw"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p style="text-align: justify;">A primeira matriz indica que os t&#237;tulos p&#250;blicos, representados pelo ETF IEF, t&#234;m correla&#231;&#227;o ligeiramente negativa com o S&amp;P 500 (-0,07) e com os demais ativos em geral. No Brasil, no entanto, a correla&#231;&#227;o entre a bolsa brasileira e o ETF de t&#237;tulos p&#250;blicos prefixados IRFM &#233; de 0,47, enquanto com o ETF de t&#237;tulos p&#250;blicos indexados &#224; infla&#231;&#227;o &#233; de elevados 0,6. Em outras palavras, por essa m&#233;trica, &#233; mais dif&#237;cil no Brasil usar a renda fixa como hedge para posi&#231;&#245;es em bolsa.</p><p style="text-align: justify;">No entanto, o problema &#233; ainda maior quando consideramos que, em movimentos mais fortes de mercado.  Como se diz no jarg&#227;o, &#8220;as correla&#231;&#245;es v&#227;o para 1&#8221;. Isto &#233;, alguns ativos tendem a apresentar comportamentos mais correlacionados em situa&#231;&#245;es de maior estresse, tanto em altas quanto em quedas.</p><p></p><p><strong>Correla&#231;&#227;o condicional</strong></p><p></p><p style="text-align: justify;">Para examinar com mais precis&#227;o o que acontece, precisamos verificar se a correla&#231;&#227;o muda conforme o ativo principal apresenta varia&#231;&#245;es mais bruscas. No gr&#225;fico abaixo, criamos uma amostra aleat&#243;ria a partir de uma distribui&#231;&#227;o normal multivariada, com retorno esperado igual a zero, desvio padr&#227;o de 20% e correla&#231;&#227;o linear de 0,5. Vamos supor que, no eixo X, esteja o ativo principal (bolsa) e, no eixo Y, o ativo que queremos estudar em termos de propriedades de prote&#231;&#227;o (t&#237;tulos p&#250;blicos).</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!3kgB!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!3kgB!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png 424w, /__u/substackcdn.com/image/fetch/$s_!3kgB!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png 848w, /__u/substackcdn.com/image/fetch/$s_!3kgB!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png 1272w, /__u/substackcdn.com/image/fetch/$s_!3kgB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!3kgB!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png" width="693" height="592" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:592,&quot;width&quot;:693,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:143410,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/192944645?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!3kgB!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png 424w, /__u/substackcdn.com/image/fetch/$s_!3kgB!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png 848w, /__u/substackcdn.com/image/fetch/$s_!3kgB!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png 1272w, /__u/substackcdn.com/image/fetch/$s_!3kgB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15d48210-035b-4837-9fe5-f4daccc95d13_693x592.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p style="text-align: justify;">Idealmente, desejamos que o ativo Y acompanhe o ativo X na alta, isto &#233;, j&#225; unifica&#231;&#227;o desejada. No entanto, queremos que Y suba quando X caia, servido como um hedge. Quando X cai e Y tamb&#233;m cai, chamamos o fen&#244;meno de unifica&#231;&#227;o indesejada.</p><p style="text-align: justify;">Para estimar melhor o que acontece nestes cen&#225;rios, podemos calcular a correla&#231;&#227;o condicional a uma determinada amostra de X. Este resultado &#233; dado pela f&#243;rmula abaixo.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!mzEI!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!mzEI!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png 424w, /__u/substackcdn.com/image/fetch/$s_!mzEI!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png 848w, /__u/substackcdn.com/image/fetch/$s_!mzEI!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png 1272w, /__u/substackcdn.com/image/fetch/$s_!mzEI!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!mzEI!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png" width="660" height="107" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:107,&quot;width&quot;:660,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!mzEI!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png 424w, /__u/substackcdn.com/image/fetch/$s_!mzEI!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png 848w, /__u/substackcdn.com/image/fetch/$s_!mzEI!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png 1272w, /__u/substackcdn.com/image/fetch/$s_!mzEI!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F538938ab-0a9d-4593-baf1-b8fa3c4b644d_660x107.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!T0mD!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!T0mD!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png 424w, /__u/substackcdn.com/image/fetch/$s_!T0mD!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png 848w, /__u/substackcdn.com/image/fetch/$s_!T0mD!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png 1272w, /__u/substackcdn.com/image/fetch/$s_!T0mD!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!T0mD!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png" width="256" height="130" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:130,&quot;width&quot;:256,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!T0mD!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png 424w, /__u/substackcdn.com/image/fetch/$s_!T0mD!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png 848w, /__u/substackcdn.com/image/fetch/$s_!T0mD!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png 1272w, /__u/substackcdn.com/image/fetch/$s_!T0mD!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9fe5f102-a654-4f98-b427-de525e1f6512_256x130.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p style="text-align: justify;">Onde p &#233; a correla&#231;&#227;o incondicional e &#952; &#233; o desvio padr&#227;o selecionado para indicar o tamanho da amostra a ser utilizada. A formula&#231;&#227;o acima tamb&#233;m &#233; utilizada para o c&#225;lculo quando x &#233; maior que teta. </p><p style="text-align: justify;">Neste caso, com base nas premissas acima, podemos calcular o coeficiente de correla&#231;&#227;o condicional para diferentes valores de &#952; . O resultado te&#243;rico &#233; dado pelo gr&#225;fico abaixo.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!bDJB!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!bDJB!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png 424w, /__u/substackcdn.com/image/fetch/$s_!bDJB!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png 848w, /__u/substackcdn.com/image/fetch/$s_!bDJB!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png 1272w, /__u/substackcdn.com/image/fetch/$s_!bDJB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!bDJB!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png" width="778" height="541" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:541,&quot;width&quot;:778,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:53260,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/192944645?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!bDJB!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png 424w, /__u/substackcdn.com/image/fetch/$s_!bDJB!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png 848w, /__u/substackcdn.com/image/fetch/$s_!bDJB!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png 1272w, /__u/substackcdn.com/image/fetch/$s_!bDJB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7feaf4a0-3695-4b26-a256-b29895d49e48_778x541.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p style="text-align: justify;">Tamb&#233;m podemos fazer o c&#225;lculo emp&#237;rico, utilizando uma amostra de 100 mil retornos gerados aleatoriamente conforme o procedimento acima e, em seguida, calcular o valor da correla&#231;&#227;o condicional para diferentes n&#237;veis de &#952;. O resultado emp&#237;rico &#233; dado por:</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!0OkF!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!0OkF!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png 424w, /__u/substackcdn.com/image/fetch/$s_!0OkF!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png 848w, /__u/substackcdn.com/image/fetch/$s_!0OkF!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png 1272w, /__u/substackcdn.com/image/fetch/$s_!0OkF!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!0OkF!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png" width="827" height="477" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:477,&quot;width&quot;:827,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:65172,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/192944645?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!0OkF!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png 424w, /__u/substackcdn.com/image/fetch/$s_!0OkF!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png 848w, /__u/substackcdn.com/image/fetch/$s_!0OkF!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png 1272w, /__u/substackcdn.com/image/fetch/$s_!0OkF!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F86382dee-89d7-4e7f-b9c1-8f13955306dd_827x477.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p style="text-align: justify;">Como esperado, o resultado dos valores emp&#237;ricos s&#227;o compat&#237;veis com os valores te&#243;ricos neste exerc&#237;cio, uma vez que os dados foram gerados por uma distribui&#231;&#227;o normal multivariada com os par&#226;metros estipulados acima.  </p><p style="text-align: justify;"></p><p style="text-align: justify;">Para avaliarmos na pr&#225;tica a assimetria da correla&#231;&#227;o entre dois ativos devemos:</p><p style="text-align: justify;">1-) Estimar a correla&#231;&#227;o linear incondicional.</p><p style="text-align: justify;">2-) Supor distribui&#231;&#227;o multivariada normal e calcular a correla&#231;&#227;o linear condicional te&#243;rica para diferentes cortes do ativo principal (medido pelo desvio padr&#227;o da amostra).</p><p style="text-align: justify;">3-) Estimar a correla&#231;&#227;o linear condicional da amostra (emp&#237;rica).</p><p style="text-align: justify;">4-) Comparar a estimativa te&#243;rica e a estimativa emp&#237;rica.</p><p style="text-align: justify;"></p><p style="text-align: justify;"><strong>An&#225;lise Te&#243;rica vs. Emp&#237;rica</strong></p><p style="text-align: justify;"></p><p style="text-align: justify;">O gr&#225;fico abaixo mostra a correla&#231;&#227;o condicional emp&#237;rica e te&#243;rica entre o S&amp;P 500 e um ETF de t&#237;tulos p&#250;blicos prefixados com prazo de sete a dez anos (IEF). Nota-se que, al&#233;m de a correla&#231;&#227;o linear ser ligeiramente negativa, que j&#225; oferece um bom n&#237;vel de diversifica&#231;&#227;o, nos momentos extremos o comportamento do IEF &#233; ainda mais favor&#225;vel.</p><p style="text-align: justify;">Quando a bolsa americana sobe com mais intensidade, o IEF tende a se correlacionar mais positivamente com o S&amp;P 500, o que sugere uma co-movimenta&#231;&#227;o desejada em um mercado altista. Por outro lado, quando o S&amp;P 500 apresenta quedas, o IEF tende a se correlacionar mais negativamente com a bolsa, indicando que ele funciona ainda melhor como prote&#231;&#227;o: isto &#233;, ocorre a separa&#231;&#227;o desejada.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!Ec2p!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!Ec2p!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png 424w, /__u/substackcdn.com/image/fetch/$s_!Ec2p!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png 848w, /__u/substackcdn.com/image/fetch/$s_!Ec2p!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Ec2p!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!Ec2p!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png" width="951" height="532" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png 424w, /__u/substackcdn.com/image/fetch/$s_!Ec2p!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png 848w, /__u/substackcdn.com/image/fetch/$s_!Ec2p!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Ec2p!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F633f43d1-f9ec-4ad9-a895-7b452a3b0a66_951x532.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p style="text-align: justify;">O oposto ocorre no caso brasileiro. Primeiramente, a correla&#231;&#227;o j&#225; &#233; alta entre a bolsa brasileira e o IMA-B, o que j&#225; sugere limita&#231;&#227;o na capacidade da renda fixa brasileira funcionar como uma prote&#231;&#227;o para a bolsa. Em segundo lugar, a correla&#231;&#227;o condicional emp&#237;rica mostra-se ainda mais desfavor&#225;vel.</p><p style="text-align: justify;">Quando o mercado acion&#225;rio tem bom desempenho, a correla&#231;&#227;o entre os ativos sofre queda. Mais importante, quando o mercado acion&#225;rio tem queda, a correla&#231;&#227;o entre os ativos sobe de forma bastante acentuada, sugerindo incapacidade de diversifica&#231;&#227;o. Em outras palavras, em quedas da bolsa brasileira, os t&#237;tulos p&#250;blicos brasileiros n&#227;o oferecem prote&#231;&#227;o. Observamos neste caso a unifica&#231;&#227;o indesejada.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!xmEy!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4f122aad-92b7-4535-91a4-3cee49013e94_837x487.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!xmEy!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4f122aad-92b7-4535-91a4-3cee49013e94_837x487.png 424w, /__u/substackcdn.com/image/fetch/$s_!xmEy!, /__u/andresennaduarte.substack.com/w_848, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4f122aad-92b7-4535-91a4-3cee49013e94_837x487.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xmEy!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4f122aad-92b7-4535-91a4-3cee49013e94_837x487.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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style="text-align: justify;"><strong>Considera&#231;&#245;es finais</strong></p><p style="text-align: justify;"></p><p style="text-align: justify;">A an&#225;lise acima sugere que o papel da renda fixa nos EUA e no Brasil &#233; distinto, com a renda fixa americana oferecendo um hedge adequado, enquanto no Brasil n&#227;o observamos essa possibilidade. Dessa forma, a escolha entre renda fixa e bolsa no Brasil est&#225; mais relacionada a qual ativo o investidor acredita que ter&#225; melhor performance.</p><p style="text-align: justify;">No Brasil, como j&#225; destacado em notas anteriores e que ser&#225; aprofundado futuramente, os melhores hedges para uma carteira s&#227;o os ativos denominados em moeda estrangeira.</p>]]></content:encoded></item><item><title><![CDATA[A Sub-representação Política de São Paulo na Federação]]></title><description><![CDATA[Uma an&#225;lise comparativa baseada em m&#233;tricas de desproporcionalidade legislativa]]></description><link>https://andresennaduarte.substack.com/p/a-sub-representacao-politica-de-sao</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/a-sub-representacao-politica-de-sao</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Tue, 17 Feb 2026 12:29:05 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!5Sv5!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F42f0bb77-d2e7-49a3-9677-c4f5b71eac26_1127x622.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p>Na semana passada, tive a honra de participar de uma entrevistas conduzida pelos Novos Cl&#225;ssicos sobre os desafios institucionais do Estado brasileiro em geral, com &#234;nfase no pacto federativo. A entrevista pode ser vista no seguinte link: <a href="https://www.youtube.com/watch?v=bWBjMXUwz60&amp;t=3643s">O PACTO FEDERATIVO BRASILEIRO EST&#193; QUEBRADO: PRECISAMOS REPENS&#193;-LO</a>.</p><p>Um dos pontos abordados foi sobre a sub-representa&#231;&#227;o pol&#237;tica de S&#227;o Paulo. Esta nota traz algumas m&#233;tricas para embasar a entrevista.</p><p>Existem diversas m&#233;tricas de avalia&#231;&#227;o da capacidade do voto para deputados e senadores bem representar &#224; vontade popular. Umas das m&#233;tricas mais simples &#233; calcular a raz&#227;o entre o percentual de legisladores com rela&#231;&#227;o ao todo e o percentual da popula&#231;&#227;o com rela&#231;&#227;o ao todo. Um n&#250;mero acima de um mostra que o estado &#233; super representado naquela casa legislativa. Por outro lado, um n&#250;mero inferior mostra que aquele estado &#233; sub representado.</p><p>No gr&#225;fico abaixo, trazemos este c&#225;lculo n&#227;o apenas para os estados brasileiros mas tamb&#233;m para outras cinco federa&#231;&#245;es. No gr&#225;fico, destacamos os estados brasileiros com suas respectivas siglas. O eixo x representa a m&#233;trica descrita acima para a C&#226;mara, enquanto o eixo y descreve para o Senado. Desta forma, um estado representado de forma proporcional ao seu tamanho populacional estar&#225; na coordenada (1,1).</p><p>O Estado de S&#227;o Paulo foi destacado no gr&#225;fico. Entre todos os estados, no Brasil ou fora dela, o estado de S&#227;o Paulo tem a mais baixa representa&#231;&#227;o tanto na C&#226;mara quanto no Senado.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!5Sv5!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F42f0bb77-d2e7-49a3-9677-c4f5b71eac26_1127x622.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!5Sv5!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F42f0bb77-d2e7-49a3-9677-c4f5b71eac26_1127x622.png 424w, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F42f0bb77-d2e7-49a3-9677-c4f5b71eac26_1127x622.png 1272w, /__u/substackcdn.com/image/fetch/$s_!5Sv5!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F42f0bb77-d2e7-49a3-9677-c4f5b71eac26_1127x622.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A discuss&#227;o quanto a sub-representa&#231;&#227;o de S&#227;o Paulo &#233; importante pois representa um desafio genu&#237;no do sistema democr&#225;tico brasileiro. Pelo lado da C&#226;mara, o &#237;ndice de 0,63 significa que S&#227;o Paulo tem baixa representatividade na casa que deveria se guiar, como no restante do mundo, por uma representa&#231;&#227;o o mais proporcional poss&#237;vel da popula&#231;&#227;o. Como pode-se observar no gr&#225;fico, os desvios do &#8220;um&#8221; s&#227;o menores do que no Senado.</p><p>Al&#233;m disso, o estado de S&#227;o Paulo &#233; particularmente mal representado no Senado, com um &#237;ndice de apenas 0,17. Pode se argumentar que o Senado deve representar os estados e, assim, esta sub-representa&#231;&#227;o n&#227;o deve ser visto como um problema. Entretanto, este modelo de igualdade dos estados &#233; considerado um dos principais problemas de representatividade nos EUA, e principal objeto de discuss&#227;o sobre o assunto neste pa&#237;s. Exatamente por isso, sistemas federativos posteriores em outros pa&#237;ses estabeleceram mitigadores deste efeito de desconsiderar o tamanho da popula&#231;&#227;o para a determina&#231;&#227;o das cadeiras no Senado. N&#227;o foi o caso brasileiro.</p><p></p><p><strong>&#205;ndice de Gallagher e L1</strong></p><p></p><p>A m&#233;trica mais usada na literatura de ci&#234;ncia pol&#237;tica para resumir &#8220;qu&#227;o desproporcional&#8221; &#233; a representa&#231;&#227;o em um pa&#237;s para um &#243;rg&#227;o legislativo &#233; o &#205;ndice de Gallagher (tamb&#233;m chamado de Least Squares Index). Este &#237;ndice mede a distor&#231;&#227;o agregada entre a participa&#231;&#227;o de cada estado na popula&#231;&#227;o e sua participa&#231;&#227;o nas cadeiras de uma casa legislativa. O &#237;ndice &#233; calculado como a raiz quadrada da metade da soma dos quadrados das diferen&#231;as entre as duas distribui&#231;&#245;es (em pontos percentuais). Ele varia de 0 (representa&#231;&#227;o perfeitamente proporcional) para valores maiores, indicando maior desalinhamento e penalizando mais fortemente grandes discrep&#226;ncias.</p><p>Outra m&#233;trica utilizada pela literatura &#233; o &#205;ndice L1 (Loosemore&#8211;Hanby) que mede a distor&#231;&#227;o agregada entre a participa&#231;&#227;o de cada estado na popula&#231;&#227;o e sua participa&#231;&#227;o nas cadeiras de uma casa legislativa. Ele &#233; calculado como metade da soma das diferen&#231;as absolutas entre as duas distribui&#231;&#245;es. O &#237;ndice varia de 0 (representa&#231;&#227;o perfeitamente proporcional) para valores maiores, indicando maior desalinhamento e pode ser interpretado como a fra&#231;&#227;o total de cadeiras que estaria &#8220;mal distribu&#237;da&#8221; em rela&#231;&#227;o ao crit&#233;rio populacional.</p><p>O &#205;ndice L1 (Loosemore&#8211;Hanby) e o &#205;ndice de Gallagher medem a desproporcionalidade entre a distribui&#231;&#227;o populacional e a distribui&#231;&#227;o de cadeiras, mas diferem na sensibilidade aos desvios. O L1 baseia-se na soma das diferen&#231;as absolutas, oferecendo uma medida linear e de f&#225;cil interpreta&#231;&#227;o. J&#225; o Gallagher utiliza a soma dos quadrados das diferen&#231;as, penalizando mais fortemente grandes distor&#231;&#245;es. Assim, enquanto o L1 fornece uma medida intuitiva do desalinhamento agregado, o Gallagher &#233; mais sens&#237;vel a casos extremos de sub ou super-representa&#231;&#227;o. A seguir, o gr&#225;fico abaixo mostra estas duas m&#233;tricas.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!u6YP!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff54e71bc-003f-4bf9-9d0f-8db9a666e40a_1322x731.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!u6YP!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff54e71bc-003f-4bf9-9d0f-8db9a666e40a_1322x731.png 424w, /__u/substackcdn.com/image/fetch/$s_!u6YP!, /__u/andresennaduarte.substack.com/w_848, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff54e71bc-003f-4bf9-9d0f-8db9a666e40a_1322x731.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!u6YP!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff54e71bc-003f-4bf9-9d0f-8db9a666e40a_1322x731.png" width="1322" height="731" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff54e71bc-003f-4bf9-9d0f-8db9a666e40a_1322x731.png 424w, /__u/substackcdn.com/image/fetch/$s_!u6YP!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff54e71bc-003f-4bf9-9d0f-8db9a666e40a_1322x731.png 848w, /__u/substackcdn.com/image/fetch/$s_!u6YP!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff54e71bc-003f-4bf9-9d0f-8db9a666e40a_1322x731.png 1272w, /__u/substackcdn.com/image/fetch/$s_!u6YP!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff54e71bc-003f-4bf9-9d0f-8db9a666e40a_1322x731.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>O resultado &#233; intuitivo. As distor&#231;&#245;es no Senado s&#227;o superiores as distor&#231;&#245;es para a C&#226;mara para todos os pa&#237;ses. A distor&#231;&#227;o de representa&#231;&#227;o para o Senado no Brasil &#233; a mais elevada no m&#233;todo L1, enquanto &#233; o segundo mais elevado atrav&#233;s do &#237;ndice Gallagher. No entanto, em ambos os casos, a distor&#231;&#227;o maior em rela&#231;&#227;o aos demais pa&#237;ses &#233; visto na C&#226;mara. Este resultado &#233; fruto da regra brasileira de um m&#237;nimo de oito deputados e um m&#225;ximo de setenta deputados por estado, regra que diretamente impacta S&#227;o Paulo.</p><p></p><p><strong>Mapas</strong></p><p></p><p>Por fim, abaixo adicionamos uma s&#233;rie de gr&#225;ficos que da raz&#227;o entre o percentual de legisladores com rela&#231;&#227;o ao todo e o percentual da popula&#231;&#227;o com rela&#231;&#227;o ao todo, mas com representa&#231;&#227;o por mapa por pa&#237;s. A escala de todos os pa&#237;ses por casa legislativa foi uniformizada para facilitar a compara&#231;&#227;o visual entre os mapas.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!1oZf!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa5a5b801-0827-40f4-bd42-a99562906ba8_941x782.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!1oZf!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa5a5b801-0827-40f4-bd42-a99562906ba8_941x782.png 424w, 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class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!BZPK!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F38eb069f-cd20-4ec1-b9da-571325022ade_1157x830.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!BZPK!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F38eb069f-cd20-4ec1-b9da-571325022ade_1157x830.png 424w, /__u/substackcdn.com/image/fetch/$s_!BZPK!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F38eb069f-cd20-4ec1-b9da-571325022ade_1157x830.png 1272w, /__u/substackcdn.com/image/fetch/$s_!BZPK!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F38eb069f-cd20-4ec1-b9da-571325022ade_1157x830.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p></p><p></p>]]></content:encoded></item><item><title><![CDATA[O Tempo Diversifica o Risco?]]></title><description><![CDATA[Probabilidade de perda, drawdowns e decis&#245;es reais de investimento]]></description><link>https://andresennaduarte.substack.com/p/o-tempo-diversifica-o-risco</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/o-tempo-diversifica-o-risco</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Mon, 12 Jan 2026 11:02:37 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!ydth!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!ydth!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 424w, /__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 1272w, /__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>&#8220;D&#234;-me um ponto de apoio e uma alavanca e moverei o mundo.&#8221; A famosa frase atribu&#237;da a Arquimedes &#233; tradicionalmente utilizada como analogia &#224; import&#226;ncia de horizontes de investimento mais longos. O ponto de apoio corresponderia a uma carteira suficientemente diversificada, capaz de eliminar o risco espec&#237;fico. A alavanca, por sua vez, seria o pr&#243;prio tempo. Com um horizonte de investimento crescente, o risco seria cada vez menor de um resultado desfavor&#225;vel.</p><p>Para a maioria dos investidores, a ideia de que o tempo reduz o risco &#233; bastante consolidada. M&#233;tricas que mostram o bom desempenho dos principais &#237;ndices acion&#225;rios no longo prazo s&#227;o amplamente difundidas. Investidores jovens s&#227;o tipicamente incentivados a assumir mais risco em seus portf&#243;lios do que investidores mais velhos. Existe toda uma ind&#250;stria de fundos e de gest&#227;o patrimonial que utiliza esse conceito como princ&#237;pio.</p><p>Em resumo, o argumento central &#233; que o pr&#243;prio tempo atuaria como um diversificador de risco. Assim, ao investir em uma carteira suficientemente diversificada, mesmo em uma classe de ativos com elevada volatilidade, o tempo progressivamente reduziria o risco de um resultado desfavor&#225;vel do investimento.</p><p>Neste ensaio, faremos algumas considera&#231;&#245;es sobre essa afirma&#231;&#227;o, abordando diferentes pontos de vista.</p><p></p><p><strong>O Tempo e o Risco</strong></p><p></p><p>Vamos supor que um investimento tenha retorno m&#233;dio de 7% a.a. e volatilidade m&#233;dia de 25% a.a. (par&#226;metros similares aos do Ibovespa, em termos reais, desde o ano 2000). Se assumirmos que os retornos seguem uma distribui&#231;&#227;o normal e s&#227;o independentes ao longo do tempo, podemos calcular a tabela abaixo.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!YLBE!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!YLBE!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png 424w, 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/__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!YLBE!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png" width="787" height="287" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:287,&quot;width&quot;:787,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:23460,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/184212514?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!YLBE!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png 424w, /__u/substackcdn.com/image/fetch/$s_!YLBE!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png 848w, /__u/substackcdn.com/image/fetch/$s_!YLBE!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png 1272w, /__u/substackcdn.com/image/fetch/$s_!YLBE!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F027aee22-01d9-4470-b6b7-be33b6756d0b_787x287.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A tabela traz tr&#234;s resultados. Conforme o tempo aumenta, o desvio padr&#227;o m&#233;dio dos retornos cai. Observamos tamb&#233;m que a probabilidade de perda no investimento realizado &#233; reduzida &#224; medida que o tempo &#233; alongado. Definindo o desvio padr&#227;o como uma proxy para o risco, a &#250;ltima coluna mostra que o retorno m&#233;dio dividido por unidade de risco sobe, sugerindo que a rela&#231;&#227;o risco&#8211;retorno se torna mais favor&#225;vel conforme o tempo aumenta.</p><p>Essa &#233; a ideia por tr&#225;s da diversifica&#231;&#227;o ao longo do tempo. Quanto maior o horizonte temporal, menos ru&#237;do e mais sinal.</p><p></p><p><strong>Empiricamente, isso &#233; verific&#225;vel?</strong></p><p></p><p>Utilizando a base de dados de Jord&#225;, Knoll, Kushinov, Schularick e Taylor (2019) para o mercado acion&#225;rio americano, o gr&#225;fico abaixo (repetido com rela&#231;&#227;o a capa do ensaio) mostra a redu&#231;&#227;o da dispers&#227;o do retorno m&#233;dio real conforme o horizonte de investimento &#233; ampliado. O resultado corrobora a ideia de que a rela&#231;&#227;o retorno&#8211;risco se torna mais favor&#225;vel conforme o tempo passa. Em particular, observa-se que, a partir do d&#233;cimo nono ano, n&#227;o h&#225; nenhuma observa&#231;&#227;o hist&#243;rica negativa. Na pior das hip&#243;teses, preserva-se o capital investido.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!ydth!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 424w, /__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 848w, /__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 1272w, /__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!ydth!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png" width="1216" height="636" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 424w, /__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 848w, /__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 1272w, /__u/substackcdn.com/image/fetch/$s_!ydth!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1f8e0b97-1d23-4d92-95c3-658c46e0a84a_1216x636.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>O resultado por tr&#225;s desse gr&#225;fico pode sugerir, ent&#227;o, que o investidor deveria alocar uma parcela consider&#225;vel do patrim&#244;nio em a&#231;&#245;es. Se a carteira for suficientemente diversificada, o tempo trabalharia no sentido de mitigar o risco. Argumenta-se, inclusive, que o tempo eliminaria completamente o risco de um resultado desfavor&#225;vel, pelo menos com base nos dados hist&#243;ricos americanos.</p><p>Por&#233;m, seria essa a melhor forma de investir? O que mais deveria considerar o investidor?</p><p></p><p><strong>Quais s&#227;o as cr&#237;ticas a essa abordagem?</strong></p><p></p><p>A ideia de que o tempo, por si s&#243;, diversifica o risco apresenta tr&#234;s limita&#231;&#245;es fundamentais:</p><ul><li><p>Desconsidera a fun&#231;&#227;o utilidade de um investidor t&#237;pico, isto &#233;, averso ao risco, para o qual perdas severas t&#234;m um impacto desproporcionalmente maior sobre o bem-estar do que ganhos de mesma magnitude.</p></li><li><p>Reduz o conceito de risco a m&#233;tricas focadas apenas no resultado final, ignorando dimens&#245;es cruciais como o drawdown, que capturam perdas relevantes ao longo da trajet&#243;ria do investimento, e n&#227;o apenas no ponto terminal.</p></li><li><p>Baseia-se excessivamente em evid&#234;ncia emp&#237;rica predominantemente americana, que pode ser insuficiente para sustentar a conclus&#227;o.</p></li></ul><p></p><p><strong>Tempo e Utilidade Esperada</strong></p><p></p><p>Considere o seguinte investimento: h&#225; 50% de chance de ganho de 1/3 e 50% de chance de perda de 1/4. Um investimento inicial de, digamos, 100 reais pode, com igual probabilidade, crescer para US$ 133,33 ou cair para US$ 75,00. O valor esperado desse investimento &#233; positivo, o que sugere, &#224; primeira vista, tratar-se de uma op&#231;&#227;o atraente. Deveria o investidor realizar esse investimento? Em qualquer cen&#225;rio?</p><p>Agora, imagine que esse mesmo investimento seja repetido ao longo do tempo. Em cada per&#237;odo, o retorno esperado permanece positivo. &#192; medida que o horizonte se alonga, a riqueza esperada cresce e a probabilidade de terminar o per&#237;odo com preju&#237;zo diminui. Sob esse prisma, tudo indica que o risco estaria sendo &#8220;dilu&#237;do&#8221; pelo tempo.</p><p>No entanto, algo importante acontece nesse processo. Embora a chance de um resultado negativo ao final do horizonte diminua, os cen&#225;rios de perda poss&#237;veis tornam-se, ao mesmo tempo, mais severos. Realizar o investimento apenas uma vez e obter um resultado desfavor&#225;vel gera um preju&#237;zo que pode ser tolerado. Contudo, conforme o horizonte aumenta, trajet&#243;rias adversas raras podem gerar preju&#237;zos cada vez maiores.</p><p>&#201; exatamente nesse ponto que surge a pergunta central do investidor: vale a pena aceitar esse risco adicional? O fato de o retorno esperado aumentar e a probabilidade de perda cair &#233; suficiente para justificar a exposi&#231;&#227;o crescente a cen&#225;rios cada vez mais adversos? Ou esses eventos, ainda que improv&#225;veis, devem pesar na decis&#227;o?</p><p>A maioria dos investidores n&#227;o toma decis&#245;es exclusivamente com base no valor esperado. Eles se preocupam de forma desproporcional com perdas severas. Por exemplo, se oferecermos um investimento que possua 60% de chance de dobrar o patrim&#244;nio e 40% de chance de zer&#225;-lo, a ampla maioria dos investidores n&#227;o aceitar&#225; a proposta, apesar de o retorno esperado ser claramente positivo. Em economia, esse comportamento &#233; formalizado por meio de uma fun&#231;&#227;o utilidade, que estabelece uma rela&#231;&#227;o entre riqueza e bem-estar, sendo este &#250;ltimo o objetivo final do investidor.</p><p>Para um investidor averso ao risco, conforme o patrim&#244;nio cresce, cada acr&#233;scimo adicional de riqueza gera uma satisfa&#231;&#227;o incremental cada vez menor, embora sempre positiva. Em contrapartida, redu&#231;&#245;es no patrim&#244;nio provocam perdas de bem-estar maiores, em termos absolutos, do que os ganhos gerados por aumentos de mesma magnitude.</p><p>Esse comportamento pode ser representado, de forma geral, por uma fun&#231;&#227;o utilidade do tipo CRRA (Avers&#227;o Relativa Constante ao Risco):</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!Rbe-!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!Rbe-!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png 424w, /__u/substackcdn.com/image/fetch/$s_!Rbe-!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png 848w, /__u/substackcdn.com/image/fetch/$s_!Rbe-!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Rbe-!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!Rbe-!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png" width="186" height="56" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:56,&quot;width&quot;:186,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!Rbe-!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png 424w, /__u/substackcdn.com/image/fetch/$s_!Rbe-!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png 848w, /__u/substackcdn.com/image/fetch/$s_!Rbe-!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Rbe-!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F93e9f7b8-a8ea-407a-9474-27cfc2b05798_186x56.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>em que mede o grau de avers&#227;o ao risco. Uma fun&#231;&#227;o de utilidade com avers&#227;o relativa constante ao risco descreve um investidor que aceita sempre o mesmo grau de risco proporcional &#224; sua riqueza, independentemente do n&#237;vel absoluto dessa riqueza. A fun&#231;&#227;o utilidade logar&#237;tmica surge como um caso particular da fam&#237;lia CRRA, obtido no limite em que :</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!OHY6!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!OHY6!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!OHY6!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!OHY6!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!OHY6!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!OHY6!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png" width="52" height="27" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/aa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:27,&quot;width&quot;:52,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!OHY6!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!OHY6!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!OHY6!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!OHY6!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa95597c-772e-42f5-98cd-97c9d5b7c6dd_52x27.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!zhau!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!zhau!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!zhau!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!zhau!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!zhau!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!zhau!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png" width="136" height="27" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/fd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:27,&quot;width&quot;:136,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!zhau!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!zhau!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!zhau!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!zhau!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffd53812c-0ed1-416c-8dde-15b152fc329b_136x27.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Essa &#233; exatamente a fun&#231;&#227;o proposta por Daniel Bernoulli, em 1738. Com essa fun&#231;&#227;o, &#233; poss&#237;vel calcular a utilidade esperada do investimento inicial apresentado:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!IbQl!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!IbQl!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!IbQl!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!IbQl!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!IbQl!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!IbQl!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png" width="397" height="27" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/b85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:27,&quot;width&quot;:397,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!IbQl!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!IbQl!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!IbQl!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!IbQl!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb85803ae-6f6b-4131-85f0-208ce379dd44_397x27.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Como ln(100) tamb&#233;m &#233; igual a 4,6052, conclui-se que 100 reais certos constituem o equivalente, em termos de utilidade, ao investimento arriscado. Apesar de o valor esperado do investimento (104,165) ser superior aos 100 reais certos, o investidor &#233; indiferente entre as duas op&#231;&#245;es.</p><p>Dessa forma, o aumento da riqueza esperada ao longo do tempo n&#227;o implica, necessariamente, aumento da utilidade esperada. Mesmo com menor probabilidade de perda final, o investidor continua atribuindo peso aos cen&#225;rios extremos de perda, que se tornam mais severos &#224; medida que o horizonte se alonga.</p><p>Assim, alongar o horizonte de investimento n&#227;o elimina o risco relevante para o investidor averso ao risco. O tempo pode reduzir a probabilidade de um desfecho negativo, mas, ao mesmo tempo, amplia a magnitude dos cen&#225;rios adversos quando eles ocorrem. Do ponto de vista da utilidade do investidor, esses dois efeitos podem se anular. Por isso, decis&#245;es de aloca&#231;&#227;o de longo prazo n&#227;o devem ser baseadas apenas em valor esperado ou probabilidade de perda final.</p><p></p><p><strong>Risco dentro do horizonte de investimento: desvio padr&#227;o versus drawdown</strong></p><p></p><p>Ao avaliar o risco de um investimento, diferentes m&#233;tricas capturam dimens&#245;es distintas. Duas das mais utilizadas s&#227;o o desvio padr&#227;o dos retornos e o drawdown. Elas respondem a perguntas diferentes para o investidor. At&#233; aqui, abordamos apenas a import&#226;ncia do desvio padr&#227;o; no entanto, o chamado drawdown tamb&#233;m &#233; amplamente utilizado para avaliar o risco de um investimento.</p><p>O desvio padr&#227;o mede a dispers&#227;o dos retornos em torno de sua m&#233;dia. Trata-se de uma medida sim&#233;trica, que penaliza desvios positivos e negativos da mesma forma e que depende essencialmente da distribui&#231;&#227;o final dos retornos, n&#227;o da ordem em que eles ocorrem. O mais importante &#233; frisar que a trajet&#243;ria &#233; irrelevante: duas sequ&#234;ncias de retornos com os mesmos valores finais e a mesma vari&#226;ncia s&#227;o equivalentes, ainda que uma tenha experimentado perdas profundas ao longo do caminho e a outra n&#227;o.</p><p>O drawdown, por sua vez, captura exatamente essa din&#226;mica ignorada pelo desvio padr&#227;o. Ele mede a perda m&#225;xima acumulada em rela&#231;&#227;o a um pico anterior de riqueza em algum momento do per&#237;odo, incorporando explicitamente a trajet&#243;ria dos retornos. Um investimento pode apresentar baixo desvio padr&#227;o e, ainda assim, sofrer um drawdown severo se os retornos negativos ocorrerem de forma concentrada no tempo. Nesse sentido, o drawdown &#233; uma medida dependente do caminho.</p><p>Essa distin&#231;&#227;o &#233; fundamental para entender por que muitos investidores d&#227;o mais &#234;nfase ao drawdown como medida de risco. Para investidores com restri&#231;&#245;es de liquidez, compromissos de consumo, limites regulat&#243;rios, regras de alavancagem ou, principalmente, toler&#226;ncia psicol&#243;gica limitada a perdas, n&#227;o basta um resultado teoricamente favor&#225;vel ao final do per&#237;odo: &#233; preciso que a trajet&#243;ria tamb&#233;m seja compat&#237;vel com sua disposi&#231;&#227;o para assumir riscos.</p><p>Sob essa perspectiva, a ideia de que o risco diminui automaticamente com o aumento do horizonte de investimento pode ser enganosa. Mesmo que a probabilidade de encerrar o per&#237;odo com perda diminua &#224; medida que o horizonte se alonga &#8212; algo que costuma ocorrer quando o investimento tem retorno esperado positivo proporcional ao tempo &#8212;, a probabilidade de experimentar uma perda significativa em algum momento dentro do horizonte tamb&#233;m aumenta com o tempo. Ou seja, o risco &#8220;dentro do caminho&#8221; cresce, ainda que o risco terminal, medido pelo desvio padr&#227;o m&#233;dio anual ou pela probabilidade de o investimento n&#227;o ser rent&#225;vel, mostre decl&#237;nio.</p><p>Esse argumento pode ser formulado sem recorrer &#224; teoria da utilidade, utilizando apenas probabilidades. Se o investidor se preocupa com drawdowns significativos, a no&#231;&#227;o de diversifica&#231;&#227;o no tempo falha mesmo sob uma an&#225;lise puramente estat&#237;stica.</p><p>Para formalizar esse conceito, utiliza-se a probabilidade de primeiro cruzamento (<em>first passage time probability</em>), que mede a probabilidade de que a riqueza do investidor ultrapasse um determinado limite de perda em algum ponto ao longo do horizonte de investimento. Nesse caso, mesmo quando a volatilidade anualizada permanece constante, a chance de que o processo atinja um limiar de perda cresce com o tempo.</p><p>Essa probabilidade pode ser expressa como:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!hglY!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!hglY!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png 424w, /__u/substackcdn.com/image/fetch/$s_!hglY!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png 848w, /__u/substackcdn.com/image/fetch/$s_!hglY!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png 1272w, /__u/substackcdn.com/image/fetch/$s_!hglY!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!hglY!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png" width="518" height="54" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/536fdacf-4f74-436c-9255-254b1239aea5_518x54.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:54,&quot;width&quot;:518,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!hglY!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png 424w, /__u/substackcdn.com/image/fetch/$s_!hglY!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png 848w, /__u/substackcdn.com/image/fetch/$s_!hglY!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png 1272w, /__u/substackcdn.com/image/fetch/$s_!hglY!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F536fdacf-4f74-436c-9255-254b1239aea5_518x54.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>em que N(.) denota a fun&#231;&#227;o distribui&#231;&#227;o acumulada da normal padr&#227;o, L representa a perda acumulada admiss&#237;vele  T o horizonte de investimento.</p><p>Essa medida traduz estatisticamente a discuss&#227;o. A probabilidade de uma perda dentro do horizonte cresce rapidamente, at&#233; eventualmente se estabilizar. Em nenhum momento ela diminui com o tempo. Utilizando as mesmas hip&#243;teses e par&#226;metros do in&#237;cio do cap&#237;tulo, a probabilidade de pelo menos uma perda superior a 20% em um horizonte de um ano &#233; de 28,43%, enquanto, em um horizonte de cinco anos, essa probabilidade sobe para 51,04%.</p><p></p><p><strong>Al&#233;m dos EUA</strong></p><p></p><p>O gr&#225;fico abaixo apresenta o desempenho m&#237;nimo, m&#225;ximo e m&#233;dio anual real do mercado acion&#225;rio de diversos pa&#237;ses no per&#237;odo do p&#243;s-guerra, considerando janelas m&#243;veis de 30 anos. Em linhas gerais, os resultados observados para a maioria dos pa&#237;ses s&#227;o semelhantes aos dos Estados Unidos. No entanto, h&#225; exce&#231;&#245;es relevantes.</p><p>O &#250;nico pa&#237;s que apresentou desempenho desfavor&#225;vel no per&#237;odo foi Portugal. Esse resultado &#233; amplamente explicado pelo per&#237;odo anterior a 1980, que, diferentemente dos pa&#237;ses destacados, foi marcado por um longo regime autorit&#225;rio. Nos demais pa&#237;ses analisados, o retorno m&#233;dio observado foi positivo.</p><p>Al&#233;m disso, nota-se que, embora a maioria dos pa&#237;ses tenha apresentado retornos positivos na maior parte das janelas, h&#225; um n&#250;mero n&#227;o desprez&#237;vel de exce&#231;&#245;es. Em particular, Fran&#231;a e It&#225;lia exibem janelas nas quais o retorno m&#233;dio foi significativamente negativo, mesmo ao longo de horizontes suficientemente longos.</p><p>Dessa forma, os dados de desempenho do mercado acion&#225;rio para al&#233;m dos Estados Unidos sugerem que, mesmo para horizontes longos de investimento, &#233; necess&#225;rio cautela ao se afirmar que o tempo, por si s&#243;, diversifica o risco.</p><p>Por fim, &#233; importante ressaltar que os pa&#237;ses analisados s&#227;o economias desenvolvidas, com institui&#231;&#245;es relativamente est&#225;veis. Para a grande maioria dos pa&#237;ses, especialmente aqueles cuja instabilidade pol&#237;tica e econ&#244;mica dificulta a obten&#231;&#227;o de s&#233;ries longas de dados, os resultados podem ser ainda piores. Assim, o gr&#225;fico apresentado est&#225; sujeito a vi&#233;s de sele&#231;&#227;o, o que refor&#231;a a necessidade de prud&#234;ncia na interpreta&#231;&#227;o dos resultados.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!yxxl!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!yxxl!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png 424w, /__u/substackcdn.com/image/fetch/$s_!yxxl!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png 848w, /__u/substackcdn.com/image/fetch/$s_!yxxl!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png 1272w, /__u/substackcdn.com/image/fetch/$s_!yxxl!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!yxxl!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png" width="1456" height="709" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png 424w, /__u/substackcdn.com/image/fetch/$s_!yxxl!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png 848w, /__u/substackcdn.com/image/fetch/$s_!yxxl!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png 1272w, /__u/substackcdn.com/image/fetch/$s_!yxxl!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdcd3d656-048f-4fe1-adc1-a704645b92a1_1678x817.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong>Considera&#231;&#245;es finais</strong></p><p></p><p>N&#227;o &#233; claro que o aumento do horizonte de investimento seja, por si s&#243;, raz&#227;o suficiente para a ado&#231;&#227;o de investimentos mais arriscados. Embora seja perfeitamente razo&#225;vel que investidores jovens assumam mais risco do que investidores mais velhos, a principal justificativa &#233; que os mais jovens podem se recuperar de perdas por meio de um maior n&#250;mero de horas trabalhadas e de um ajuste no consumo. Na pr&#225;tica, observa-se que investidores, independentemente da idade, tendem a ser avessos ao risco e a levar em considera&#231;&#227;o a possibilidade de grandes perdas finais ou de drawdowns relevantes ao longo do caminho.</p>]]></content:encoded></item><item><title><![CDATA[Fundamentos da Alocação de Ativos]]></title><description><![CDATA[Teoria Moderna do Portf&#243;lio: da teoria &#224; pr&#225;tica]]></description><link>https://andresennaduarte.substack.com/p/fundamentos-da-alocacao-de-ativos</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/fundamentos-da-alocacao-de-ativos</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Mon, 05 Jan 2026 20:00:33 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!lc4c!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!lc4c!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!lc4c!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png 424w, /__u/substackcdn.com/image/fetch/$s_!lc4c!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png 848w, /__u/substackcdn.com/image/fetch/$s_!lc4c!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png 1272w, /__u/substackcdn.com/image/fetch/$s_!lc4c!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!lc4c!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png" width="1456" height="737" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png 424w, /__u/substackcdn.com/image/fetch/$s_!lc4c!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png 848w, /__u/substackcdn.com/image/fetch/$s_!lc4c!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png 1272w, /__u/substackcdn.com/image/fetch/$s_!lc4c!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F666b484c-93f0-408d-84e0-344bfd9dfa04_1495x757.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Neste ensaio, partindo do artigo seminal <em>Portfolio Selection</em> (1952), de Harry Markowitz, desenvolvemos o arcabou&#231;o te&#243;rico da Teoria Moderna do Portf&#243;lio e aplicamos a metodologia de otimiza&#231;&#227;o m&#233;dia&#8211;vari&#226;ncia a dados de classes de ativos americanas. O objetivo &#233; mostrar, de forma concreta, como as prefer&#234;ncias do investidor em rela&#231;&#227;o a risco e retorno se traduzem em aloca&#231;&#245;es &#243;timas de ativos.</p><p>A aloca&#231;&#227;o de recursos entre classes de ativos &#233;, por defini&#231;&#227;o, uma atividade marcada pela incerteza. Nunca saberemos, <em>ex ante</em>, qual ser&#225; o retorno futuro de uma determinada classe de ativos, tampouco o desempenho agregado do portf&#243;lio de investimentos como um todo. O estudo sistem&#225;tico da aloca&#231;&#227;o de recursos n&#227;o elimina essa incerteza, mas permite ao investidor estabelecer premissas razo&#225;veis sobre o comportamento esperado do portf&#243;lio, tornando-o compat&#237;vel com um determinado perfil de toler&#226;ncia ao risco e com objetivos espec&#237;ficos de retorno.</p><p>Definir risco, contudo, n&#227;o &#233; trivial. Uma defini&#231;&#227;o amplamente utilizada caracteriza risco como a possibilidade de resultados diferentes do esperado, em especial resultados adversos. De forma mais formal, risco pode ser entendido como a incerteza associada a resultados futuros cujos impactos s&#227;o mensur&#225;veis.</p><p>No contexto da Teoria Moderna do Portf&#243;lio, o risco de uma classe de ativos &#233; comumente mensurado por meio do conceito estat&#237;stico de vari&#226;ncia, que mede a dispers&#227;o dos retornos em torno de sua m&#233;dia. A vari&#226;ncia &#233; calculada a partir das diferen&#231;as entre cada retorno observado e a m&#233;dia da s&#233;rie, elevando essas diferen&#231;as ao quadrado e tomando sua m&#233;dia. Na pr&#225;tica, utiliza-se com maior frequ&#234;ncia a raiz quadrada da vari&#226;ncia &#8212; o desvio padr&#227;o &#8212;, que apresenta a vantagem de ser expresso na mesma unidade de medida do retorno, facilitando sua interpreta&#231;&#227;o econ&#244;mica.</p><p>&#201; importante ressaltar que a vari&#226;ncia n&#227;o &#233; a &#250;nica m&#233;trica de risco relevante. Existem diversas outras medidas amplamente utilizadas na pr&#225;tica, a depender do objetivo do investidor. Um exemplo &#233; o <em>drawdown</em>, definido como a queda percentual entre o valor m&#225;ximo hist&#243;rico de um portf&#243;lio e o m&#237;nimo subsequente. Diferentemente da vari&#226;ncia, o <em>drawdown</em> depende explicitamente da sequ&#234;ncia temporal dos retornos. Al&#233;m disso, trata-se de uma medida assim&#233;trica, pois penaliza perdas de forma distinta de ganhos, enquanto a vari&#226;ncia trata desvios positivos e negativos de maneira sim&#233;trica. Por essa raz&#227;o, a otimiza&#231;&#227;o de portf&#243;lios sob restri&#231;&#245;es de <em>drawdown</em> m&#225;ximo &#233; computacionalmente mais complexa, envolvendo problemas de n&#227;o linearidade e n&#227;o convexidade. Ainda assim, na abordagem proposta por Markowitz, argumenta-se que a vari&#226;ncia (ou o desvio padr&#227;o) constitui uma medida adequada de risco, desde que determinadas condi&#231;&#245;es sejam satisfeitas.</p><p>Embora a vari&#226;ncia de uma classe de ativos seja uma boa indica&#231;&#227;o de seu risco individual, a m&#233;dia das vari&#226;ncias de duas ou mais classes de ativos n&#227;o &#233;, em geral, uma boa medida do risco de um portf&#243;lio composto por esses ativos. O risco de um portf&#243;lio depende tamb&#233;m da forma como os retornos das diferentes classes de ativos se movem conjuntamente. Em outras palavras, o risco total de um portf&#243;lio n&#227;o &#233; simplesmente a m&#233;dia ponderada dos riscos individuais, mas resulta da intera&#231;&#227;o entre volatilidades e correla&#231;&#245;es.</p><p>Formalmente, a vari&#226;ncia de um portf&#243;lio composto por duas classes de ativos pode ser escrita como:</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!KWos!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!KWos!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png 424w, /__u/substackcdn.com/image/fetch/$s_!KWos!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png 848w, /__u/substackcdn.com/image/fetch/$s_!KWos!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png 1272w, /__u/substackcdn.com/image/fetch/$s_!KWos!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!KWos!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png" width="358" height="26" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/aa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:26,&quot;width&quot;:358,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!KWos!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png 424w, /__u/substackcdn.com/image/fetch/$s_!KWos!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png 848w, /__u/substackcdn.com/image/fetch/$s_!KWos!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png 1272w, /__u/substackcdn.com/image/fetch/$s_!KWos!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faa3db0d7-baaa-4f07-845f-72fd8a53581d_358x26.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p></p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!rDh_!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!rDh_!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png 424w, /__u/substackcdn.com/image/fetch/$s_!rDh_!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png 848w, /__u/substackcdn.com/image/fetch/$s_!rDh_!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png 1272w, /__u/substackcdn.com/image/fetch/$s_!rDh_!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!rDh_!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png" width="910" height="76" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/c39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:76,&quot;width&quot;:910,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:21471,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!rDh_!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png 424w, /__u/substackcdn.com/image/fetch/$s_!rDh_!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png 848w, /__u/substackcdn.com/image/fetch/$s_!rDh_!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png 1272w, /__u/substackcdn.com/image/fetch/$s_!rDh_!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc39e62d5-f2c6-4d1a-885a-60a54bcfc889_910x76.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Os dois primeiros termos da express&#227;o capturam o risco pr&#243;prio de cada classe de ativos ajustado por sua participa&#231;&#227;o no portf&#243;lio. O terceiro termo, conhecido como termo cruzado, reflete o grau de co-movimenta&#231;&#227;o entre os ativos e expressa o efeito da diversifica&#231;&#227;o. Quanto menor &#8212; ou mais negativa &#8212; for a correla&#231;&#227;o entre os retornos das duas classes de ativos, maior ser&#225; a redu&#231;&#227;o do risco total do portf&#243;lio em rela&#231;&#227;o &#224; simples m&#233;dia ponderada das volatilidades individuais.</p><p>Duas observa&#231;&#245;es importantes decorrem dessa formula&#231;&#227;o. Primeiramente, a menos que o portf&#243;lio seja composto por ativos perfeitamente inversamente correlacionados (&#961;=&#8722;1), n&#227;o &#233; poss&#237;vel eliminar completamente o risco por meio da diversifica&#231;&#227;o. Apenas nesse caso extremo &#8212; e, na pr&#225;tica, quase inexistente &#8212; existe uma combina&#231;&#227;o de ativos capaz de gerar um portf&#243;lio com volatilidade nula.</p><p>Para ilustrar, suponha que a classe de ativos a&#231;&#245;es apresente um desvio padr&#227;o de 20%, enquanto a classe de t&#237;tulos tenha um desvio padr&#227;o de 10%. A an&#225;lise mostra que somente no caso espec&#237;fico de correla&#231;&#227;o igual a -1 e com uma aloca&#231;&#227;o de um ter&#231;o do portf&#243;lio em a&#231;&#245;es seria poss&#237;vel eliminar totalmente o risco. Por outro lado, quando a correla&#231;&#227;o entre os ativos &#233; igual a 1, o desvio padr&#227;o do portf&#243;lio &#233; simplesmente a soma ponderada dos desvios-padr&#227;o individuais, n&#227;o havendo qualquer benef&#237;cio de diversifica&#231;&#227;o.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!KJWO!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!KJWO!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png 424w, /__u/substackcdn.com/image/fetch/$s_!KJWO!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png 848w, /__u/substackcdn.com/image/fetch/$s_!KJWO!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png 1272w, /__u/substackcdn.com/image/fetch/$s_!KJWO!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!KJWO!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png" width="747" height="516" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/b6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:516,&quot;width&quot;:747,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:41454,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/183586746?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!KJWO!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png 424w, /__u/substackcdn.com/image/fetch/$s_!KJWO!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png 848w, /__u/substackcdn.com/image/fetch/$s_!KJWO!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png 1272w, /__u/substackcdn.com/image/fetch/$s_!KJWO!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb6d41099-df90-404c-a09d-fc87f854b8e6_747x516.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Em segundo lugar, a menos que todas as classes de ativos em um portf&#243;lio apresentem correla&#231;&#227;o perfeita e positiva entre si, o desvio padr&#227;o do portf&#243;lio ser&#225; <strong>sempre inferior</strong> &#224; m&#233;dia ponderada dos desvios-padr&#227;o das classes de ativos consideradas individualmente. Esse resultado ilustra o ganho fundamental proporcionado pela diversifica&#231;&#227;o.</p><p>A figura final apresenta um exemplo pr&#225;tico em que duas classes de ativos participam igualmente do portf&#243;lio. A &#225;rea sombreada representa o benef&#237;cio da diversifica&#231;&#227;o: quanto menor a correla&#231;&#227;o entre os ativos, maior a redu&#231;&#227;o do risco total do portf&#243;lio em rela&#231;&#227;o &#224; simples soma ponderada das volatilidades individuais. Este &#233; um dos principais <em>insights</em> da Teoria Moderna do Portf&#243;lio.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!PJSo!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!PJSo!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png 424w, /__u/substackcdn.com/image/fetch/$s_!PJSo!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png 848w, /__u/substackcdn.com/image/fetch/$s_!PJSo!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png 1272w, /__u/substackcdn.com/image/fetch/$s_!PJSo!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!PJSo!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png" width="1432" height="810" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png 424w, /__u/substackcdn.com/image/fetch/$s_!PJSo!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png 848w, /__u/substackcdn.com/image/fetch/$s_!PJSo!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png 1272w, /__u/substackcdn.com/image/fetch/$s_!PJSo!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf6bd4dc-6176-4fb6-8299-29427a6eb6aa_1432x810.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong>Duas condi&#231;&#245;es para a robustez do resultado proposto por Markowitz</strong></p><p>A otimiza&#231;&#227;o por meio do m&#233;todo m&#233;dia&#8211;vari&#226;ncia proposto por Markowitz, para um determinado horizonte de tempo ou assumindo retornos cont&#237;nuos, exige que ao menos uma das condi&#231;&#245;es abaixo seja satisfeita para que o processo de sele&#231;&#227;o de portf&#243;lio seja robusto:</p><ul><li><p>A prefer&#234;ncia do investidor por retorno e risco pode ser adequadamente caracterizada apenas pela m&#233;dia e pela vari&#226;ncia dos retornos;</p></li><li><p>Ou, os retornos s&#227;o elipticamente distribu&#237;dos.</p></li></ul><p>Com rela&#231;&#227;o ao primeiro ponto, existe certo desconforto te&#243;rico quanto &#224; caracteriza&#231;&#227;o da fun&#231;&#227;o objetivo do investidor por meio de uma fun&#231;&#227;o quadr&#225;tica do retorno, pois, a partir de determinado n&#237;vel, maiores retornos poderiam levar a uma utilidade menor, o que n&#227;o &#233; economicamente razo&#225;vel. Em Levy e Markowitz (1979), os autores demonstram que essa fun&#231;&#227;o pode ser utilizada como uma boa aproxima&#231;&#227;o para uma ampla classe de fun&#231;&#245;es de utilidade bem comportadas. Se essa condi&#231;&#227;o for satisfeita, a distribui&#231;&#227;o dos retornos torna-se irrelevante, pois os investidores se preocupam exclusivamente com m&#233;dia e vari&#226;ncia, n&#227;o com medidas como <em>drawdown</em>.</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!tdhI!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!tdhI!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png 424w, /__u/substackcdn.com/image/fetch/$s_!tdhI!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png 848w, /__u/substackcdn.com/image/fetch/$s_!tdhI!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png 1272w, /__u/substackcdn.com/image/fetch/$s_!tdhI!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!tdhI!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png" width="227" height="44" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:44,&quot;width&quot;:227,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!tdhI!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png 424w, /__u/substackcdn.com/image/fetch/$s_!tdhI!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png 848w, /__u/substackcdn.com/image/fetch/$s_!tdhI!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png 1272w, /__u/substackcdn.com/image/fetch/$s_!tdhI!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6f3b8730-7819-404c-93ee-8e1c84ac80ed_227x44.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Caso essa condi&#231;&#227;o n&#227;o seja satisfeita, &#233; necess&#225;rio que a distribui&#231;&#227;o dos retornos possa ser caracterizada por uma fun&#231;&#227;o el&#237;ptica, da qual a distribui&#231;&#227;o normal &#233; um caso particular. A diferen&#231;a fundamental entre distribui&#231;&#245;es el&#237;pticas e a normal &#233; a possibilidade de a curtose ser diferente de tr&#234;s.</p><p></p><p><strong>Os quatro passos</strong></p><p></p><p>Em termos pr&#225;ticos, a aloca&#231;&#227;o entre classes de ativos exige quatro etapas fundamentais:</p><ol><li><p><strong>Identificar as classes de ativos eleg&#237;veis para a forma&#231;&#227;o do portf&#243;lio.</strong></p></li><li><p><strong>Estimar os par&#226;metros de risco e retorno, isto &#233;, o retorno esperado, o desvio padr&#227;o esperado e as correla&#231;&#245;es entre as classes de ativos.</strong></p></li><li><p><strong>Identificar os portf&#243;lios eficientes, ou seja, aqueles que oferecem o maior retorno esperado para cada n&#237;vel de risco (fronteira eficiente).</strong></p></li><li><p><strong>Selecionar um &#250;nico portf&#243;lio &#243;timo, que equilibre o desejo de crescimento patrimonial com a avers&#227;o &#224; perda do investidor.</strong></p></li></ol><p><strong>Identifica&#231;&#227;o das classes de ativos eleg&#237;veis para a forma&#231;&#227;o do portf&#243;lio</strong></p><p>A identifica&#231;&#227;o das classes de ativos nas quais investir exige a an&#225;lise segundo os crit&#233;rios apresentados anteriormente em ensaio anterior (<a href="/__u/andresennaduarte.substack.com/publish/posts/detail/180789450?referrer=%2Fpublish%2Fposts%2Fpublished">https://andresennaduarte.substack.com/publish/posts/detail/180789450?referrer=%2Fpublish%2Fposts%2Fpublished</a>). Resumidamente, um classe de ativos &#233; (1) uma agrega&#231;&#227;o est&#225;vel de (2) unidades de investimento que s&#227;o (3) internamente homog&#234;neas, (4) externamente heterog&#234;neas, que quando adicionado a um portf&#243;lio (5) aumenta a utilidade esperada, (6) sem requerer habilidade de sele&#231;&#227;o e que (7) pode ser acessados em tamanho economicamente eficiente.</p><p>Vale ressaltar que os crit&#233;rios n&#227;o s&#227;o meramente objetivos, mas tamb&#233;m subjetivos. Por exemplo, um grande fundo de pens&#227;o pode n&#227;o ser capaz de comprar ativos no mercado de arte (um mercado menor e il&#237;quido) de forma economicamente eficiente. Da mesma forma, um pequeno investidor pode ter dificuldade de acessar alguns mercados de forma eficiente, sobretudo mercados mais opacos como cr&#233;dito privado. Ainda, devido a quest&#245;es tribut&#225;rias, os par&#226;metros de rentabilidade podem ser diferentes para diferentes tipos de investidores.</p><p>No todo, deve-se levar em considera&#231;&#227;o as especificidades do investidor antes de escolher as classes de ativos eleg&#237;veis para participar do portf&#243;lio.</p><p></p><p><strong>Estima&#231;&#227;o do retorno esperado, do desvio padr&#227;o e das correla&#231;&#245;es</strong></p><p></p><p>A estima&#231;&#227;o do retorno esperado, do desvio padr&#227;o e das correla&#231;&#245;es &#233; uma etapa essencial antes de iniciar o processo de an&#225;lise dos portf&#243;lios poss&#237;veis. &#201; nesse momento que algumas decis&#245;es fundamentais precisam ser tomadas.</p><p>Por defini&#231;&#227;o, n&#227;o sabemos como as classes de ativos ir&#227;o se comportar no futuro. No entanto, dispomos de informa&#231;&#245;es hist&#243;ricas sobre o comportamento passado dos ativos, que podem ser utilizadas como ponto de partida, bem como de teorias econ&#244;micas e financeiras que indicam quais classes de ativos tendem a apresentar melhor ou pior desempenho ao longo do tempo. Al&#233;m disso, o julgamento &#8212; idealmente fundamentado em pesquisa e experi&#234;ncia &#8212; pode sugerir que uma ou mais classes de ativos apresentem, &#224; frente, um comportamento distinto daquele observado historicamente, o que exige ajustes nas premissas adotadas.<br></p><p>Abaixo, apresentamos uma tabela com o retorno de classes de ativos selecionadas nos Estados Unidos desde 2007.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!qSvK!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!qSvK!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png 424w, /__u/substackcdn.com/image/fetch/$s_!qSvK!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png 848w, /__u/substackcdn.com/image/fetch/$s_!qSvK!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png 1272w, /__u/substackcdn.com/image/fetch/$s_!qSvK!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!qSvK!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png" width="1206" height="406" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:406,&quot;width&quot;:1206,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:54043,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/183586746?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!qSvK!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png 424w, /__u/substackcdn.com/image/fetch/$s_!qSvK!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png 848w, /__u/substackcdn.com/image/fetch/$s_!qSvK!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png 1272w, /__u/substackcdn.com/image/fetch/$s_!qSvK!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F52c1ddda-2ed1-4c66-9844-6c71bc34d531_1206x406.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A primeira coluna apresenta a rentabilidade m&#233;dia anual de seis classes de ativos. Observando os dados, &#233; poss&#237;vel afirmar que houve coer&#234;ncia com a teoria no caso dos ativos americanos: classes de ativos mais arriscadas, como a bolsa, apresentaram melhor desempenho acumulado do que os t&#237;tulos de renda fixa. Da mesma forma, dentro do universo da renda fixa, as classes mais arriscadas tamb&#233;m tiveram desempenho superior. Esse padr&#227;o, contudo, n&#227;o se repete quando analisamos os mercados acion&#225;rios fora dos Estados Unidos, que apresentaram fraco desempenho no per&#237;odo considerado.</p><p></p><p>A segunda coluna reflete um julgamento prospectivo sobre o comportamento esperado dessas classes de ativos nos pr&#243;ximos anos. Dado que os <em>valuations</em> da bolsa americana se encontram em patamares historicamente elevados e que existe evid&#234;ncia de converg&#234;ncia de retornos &#224; m&#233;dia no longo prazo, optou-se por reduzir a rentabilidade esperada desse segmento. O caso dos mercados emergentes &#233; distinto: ap&#243;s duas d&#233;cadas de desempenho relativamente fraco, esses mercados podem se beneficiar de algum processo de recupera&#231;&#227;o. Por fim, foram realizados ajustes pontuais nas premissas de retorno da renda fixa.</p><p></p><p>Com rela&#231;&#227;o &#224; matriz de correla&#231;&#227;o e aos desvios-padr&#227;o, mantivemos na estima&#231;&#227;o o padr&#227;o hist&#243;rico recente, sem altera&#231;&#245;es. A matriz utilizada &#233; apresentada a seguir.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!QDmr!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!QDmr!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png 424w, /__u/substackcdn.com/image/fetch/$s_!QDmr!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png 848w, /__u/substackcdn.com/image/fetch/$s_!QDmr!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png 1272w, /__u/substackcdn.com/image/fetch/$s_!QDmr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!QDmr!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png" width="1456" height="533" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png 424w, /__u/substackcdn.com/image/fetch/$s_!QDmr!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png 848w, /__u/substackcdn.com/image/fetch/$s_!QDmr!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png 1272w, /__u/substackcdn.com/image/fetch/$s_!QDmr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11bebd07-ae95-4b9d-908c-d301532972a4_1468x537.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><strong>Portf&#243;lios Eficientes</strong></p><p>Com esta informa&#231;&#227;o, podemos usar a otimiza&#231;&#227;o m&#233;dia-vari&#226;ncia para combinar as diferentes classes de ativo de forma eficiente. Com isso, ser&#225; poss&#237;vel encontrar para um dado n&#237;vel de retorno esperado, a carteira com o menor risco (risco medido como desvio padr&#227;o).</p><p>Considere duas classes de ativos: <strong>a&#231;&#245;es (A)</strong> e <strong>t&#237;tulos (T)</strong>.</p><p><strong>Nota&#231;&#227;o</strong></p><ul><li><p>Pesos da carteira: (a&#231;&#245;es) e (t&#237;tulos)</p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!LaHt!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!LaHt!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!LaHt!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!LaHt!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png" width="416" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/f1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:416,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!LaHt!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!LaHt!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!LaHt!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!LaHt!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff1c3b7d7-a762-402c-b590-47d65a8a25b1_416x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><ul><li><p>Retornos esperados:</p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!vS9f!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!vS9f!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!vS9f!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!vS9f!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!vS9f!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!vS9f!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png" width="301" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/df9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:301,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!vS9f!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!vS9f!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!vS9f!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!vS9f!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fdf9eaaaf-06e4-4876-a5c5-f19d1514eba3_301x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><ul><li><p>Volatilidades:</p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!t2-u!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!t2-u!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!t2-u!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!t2-u!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!t2-u!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!t2-u!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png" width="242" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:242,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!t2-u!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!t2-u!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!t2-u!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!t2-u!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5e48e06f-14d2-4dda-982b-b7d97fbfe776_242x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><ul><li><p>Correla&#231;&#227;o entre os retornos:</p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!_LTQ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!_LTQ!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!_LTQ!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!_LTQ!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!_LTQ!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!_LTQ!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png" width="352" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ab034089-8b21-4763-9f98-478f1f4faedc_352x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:352,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!_LTQ!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!_LTQ!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!_LTQ!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!_LTQ!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fab034089-8b21-4763-9f98-478f1f4faedc_352x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><ul><li><p>Covari&#226;ncia:</p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!BUDm!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!BUDm!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!BUDm!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!BUDm!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!BUDm!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!BUDm!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png" width="303" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/fff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:303,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!BUDm!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!BUDm!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!BUDm!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!BUDm!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffff4bb1b-a0b1-4aaf-b2f0-71b0365dc07d_303x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p><strong>Restri&#231;&#245;es</strong></p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!Fcqm!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!Fcqm!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png 424w, /__u/substackcdn.com/image/fetch/$s_!Fcqm!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png 848w, /__u/substackcdn.com/image/fetch/$s_!Fcqm!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Fcqm!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!Fcqm!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png" width="203" height="62" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/a2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:62,&quot;width&quot;:203,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!Fcqm!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png 424w, /__u/substackcdn.com/image/fetch/$s_!Fcqm!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png 848w, /__u/substackcdn.com/image/fetch/$s_!Fcqm!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Fcqm!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa2e51653-0459-444f-9d50-5e74a6a860ca_203x62.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p><strong>Retorno esperado da carteira</strong></p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!u0ZT!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!u0ZT!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!u0ZT!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!u0ZT!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!u0ZT!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!u0ZT!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png" width="223" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:223,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!u0ZT!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!u0ZT!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!u0ZT!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!u0ZT!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca3bce8c-6b0b-4556-afb0-6692e3024295_223x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p><strong>Risco da carteira (vari&#226;ncia e desvio padr&#227;o)</strong></p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!m0Yr!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!m0Yr!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png 424w, /__u/substackcdn.com/image/fetch/$s_!m0Yr!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png 848w, /__u/substackcdn.com/image/fetch/$s_!m0Yr!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png 1272w, /__u/substackcdn.com/image/fetch/$s_!m0Yr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!m0Yr!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png" width="359" height="71" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:71,&quot;width&quot;:359,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!m0Yr!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png 424w, /__u/substackcdn.com/image/fetch/$s_!m0Yr!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png 848w, /__u/substackcdn.com/image/fetch/$s_!m0Yr!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png 1272w, /__u/substackcdn.com/image/fetch/$s_!m0Yr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d0e8be7-664e-4e7e-86de-d8304aa7b2f6_359x71.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p><strong>Problema de otimiza&#231;&#227;o (risco m&#237;nimo para um retorno-alvo)</strong></p><p>Para um retorno esperado alvo , o problema m&#233;dia-vari&#226;ncia &#233;:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!g8k4!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!g8k4!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!g8k4!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!g8k4!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!g8k4!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!g8k4!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png" width="610" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:610,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!g8k4!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!g8k4!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!g8k4!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!g8k4!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F63afa20e-046b-41b9-8098-0a7ca3f7d7e7_610x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!se6a!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!se6a!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png 424w, /__u/substackcdn.com/image/fetch/$s_!se6a!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png 848w, /__u/substackcdn.com/image/fetch/$s_!se6a!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png 1272w, /__u/substackcdn.com/image/fetch/$s_!se6a!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!se6a!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png" width="303" height="99" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png 424w, /__u/substackcdn.com/image/fetch/$s_!se6a!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png 848w, /__u/substackcdn.com/image/fetch/$s_!se6a!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png 1272w, /__u/substackcdn.com/image/fetch/$s_!se6a!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F889c0504-e314-494d-b18c-13329ffa0170_303x99.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Para encontrar a fronteira eficiente, ser&#225; necess&#225;rio resolver o problema para um continuo de valores de Os portf&#243;lios encontrados fazem parte da fronteira eficiente. Abaixo, mostramos diferentes portf&#243;lios que comp&#245;em a fronteira eficiente para diferentes objetivos de retorno esperado, dado a nossa base de dados. Repara-se que algumas classes de ativo n&#227;o fazem parte em nenhum momento da fronteira eficiente.</p><p>Para encontrar a fronteira eficiente, ser&#225; necess&#225;rio resolver o problema para um continuo de valores do retorno esperado desejado Os portf&#243;lios encontrados fazem parte da fronteira eficiente. Abaixo, mostramos diferentes portf&#243;lios que comp&#245;em a fronteira eficiente para diferentes objetivos de retorno esperado, dado a nossa base de dados. Repara-se que algumas classes de ativo n&#227;o fazem parte em nenhum momento da fronteira eficiente.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!WlyB!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!WlyB!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png 424w, /__u/substackcdn.com/image/fetch/$s_!WlyB!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png 848w, /__u/substackcdn.com/image/fetch/$s_!WlyB!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png 1272w, /__u/substackcdn.com/image/fetch/$s_!WlyB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!WlyB!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png" width="1456" height="713" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png 424w, /__u/substackcdn.com/image/fetch/$s_!WlyB!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png 848w, /__u/substackcdn.com/image/fetch/$s_!WlyB!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png 1272w, /__u/substackcdn.com/image/fetch/$s_!WlyB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5d8982c8-564c-44f0-8e69-af38e5407758_1471x720.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><strong>Portf&#243;lio &#211;timo</strong></p><p>Em linha com Sharpe (1987), adotamos a formula&#231;&#227;o cl&#225;ssica de utilidade quadr&#225;tica, na qual o investidor maximiza a utilidade esperada do portf&#243;lio:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!dA_t!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!dA_t!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png 424w, /__u/substackcdn.com/image/fetch/$s_!dA_t!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png 848w, /__u/substackcdn.com/image/fetch/$s_!dA_t!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png 1272w, /__u/substackcdn.com/image/fetch/$s_!dA_t!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!dA_t!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png" width="221" height="26" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:26,&quot;width&quot;:221,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!dA_t!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png 424w, /__u/substackcdn.com/image/fetch/$s_!dA_t!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png 848w, /__u/substackcdn.com/image/fetch/$s_!dA_t!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png 1272w, /__u/substackcdn.com/image/fetch/$s_!dA_t!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F128cdf4d-659d-418b-8968-d1d4ba947ab2_221x26.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>em que:</p><ul><li><p>&#233; o retorno esperado do portf&#243;lio;</p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!boVH!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!boVH!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!boVH!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!boVH!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!boVH!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!boVH!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png" width="376" height="27" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:27,&quot;width&quot;:376,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!boVH!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!boVH!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!boVH!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!boVH!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c538bce-d197-4981-a6be-1e659d24bdd7_376x27.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><ul><li><p>&#233; a vari&#226;ncia do portf&#243;lio;</p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!bV-m!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!bV-m!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!bV-m!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!bV-m!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!bV-m!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!bV-m!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png" width="305" height="27" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/fc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:27,&quot;width&quot;:305,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!bV-m!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png 424w, /__u/substackcdn.com/image/fetch/$s_!bV-m!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png 848w, /__u/substackcdn.com/image/fetch/$s_!bV-m!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png 1272w, /__u/substackcdn.com/image/fetch/$s_!bV-m!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffc8cf61a-00e1-445d-9d8a-d4caeb96e371_305x27.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><ul><li><p>representa o coeficiente de avers&#227;o ao risco.</p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!mkvy!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!mkvy!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!mkvy!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!mkvy!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!mkvy!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!mkvy!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png" width="469" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:469,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!mkvy!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!mkvy!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!mkvy!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!mkvy!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3936e2ff-ef85-464e-8c6f-dbeece6ff9c5_469x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Essa formula&#231;&#227;o expressa a troca fundamental entre retorno e risco, com o par&#226;metro exercendo o papel chave nesta troca. Por exemplo, se for igual a 2, isso significa que o investidor estar&#225; disposto a reduzir em dois o retorno esperado em troca de reduzir a vari&#226;ncia em uma unidade.</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!yGox!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!yGox!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png 424w, /__u/substackcdn.com/image/fetch/$s_!yGox!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png 848w, /__u/substackcdn.com/image/fetch/$s_!yGox!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png 1272w, /__u/substackcdn.com/image/fetch/$s_!yGox!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!yGox!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png" width="902" height="74" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:74,&quot;width&quot;:902,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!yGox!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png 424w, /__u/substackcdn.com/image/fetch/$s_!yGox!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png 848w, /__u/substackcdn.com/image/fetch/$s_!yGox!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png 1272w, /__u/substackcdn.com/image/fetch/$s_!yGox!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F126adc2a-15b0-4142-a43c-be496b24df9f_902x74.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>A fim de ilustra&#231;&#227;o, achemos o portf&#243;lio &#243;timo, composto por <strong>a&#231;&#245;es (A)</strong> e <strong>t&#237;tulos (T)</strong>, com pesos e , tais que:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!8cJO!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!8cJO!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png 424w, /__u/substackcdn.com/image/fetch/$s_!8cJO!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png 848w, /__u/substackcdn.com/image/fetch/$s_!8cJO!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png 1272w, /__u/substackcdn.com/image/fetch/$s_!8cJO!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!8cJO!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png" width="912" height="50" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png 424w, /__u/substackcdn.com/image/fetch/$s_!8cJO!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png 848w, /__u/substackcdn.com/image/fetch/$s_!8cJO!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png 1272w, /__u/substackcdn.com/image/fetch/$s_!8cJO!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F3d3257a3-9567-4e52-a4c2-bda75b799bed_912x50.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!5dpH!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!5dpH!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png 424w, /__u/substackcdn.com/image/fetch/$s_!5dpH!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png 848w, /__u/substackcdn.com/image/fetch/$s_!5dpH!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png 1272w, /__u/substackcdn.com/image/fetch/$s_!5dpH!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!5dpH!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png" width="168" height="23" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/77185781-ba67-4595-9171-5850fb0e1813_168x23.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:23,&quot;width&quot;:168,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!5dpH!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png 424w, /__u/substackcdn.com/image/fetch/$s_!5dpH!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png 848w, /__u/substackcdn.com/image/fetch/$s_!5dpH!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png 1272w, /__u/substackcdn.com/image/fetch/$s_!5dpH!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77185781-ba67-4595-9171-5850fb0e1813_168x23.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>O retorno esperado do portf&#243;lio &#233; dado por:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!fV2X!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!fV2X!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!fV2X!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!fV2X!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!fV2X!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!fV2X!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png" width="218" height="25" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/378ba595-0872-40ea-9542-2581e398ef1b_218x25.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:25,&quot;width&quot;:218,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!fV2X!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png 424w, /__u/substackcdn.com/image/fetch/$s_!fV2X!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png 848w, /__u/substackcdn.com/image/fetch/$s_!fV2X!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png 1272w, /__u/substackcdn.com/image/fetch/$s_!fV2X!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F378ba595-0872-40ea-9542-2581e398ef1b_218x25.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>A vari&#226;ncia do portf&#243;lio &#233;:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!T7AE!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!T7AE!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png 424w, /__u/substackcdn.com/image/fetch/$s_!T7AE!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png 848w, /__u/substackcdn.com/image/fetch/$s_!T7AE!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png 1272w, /__u/substackcdn.com/image/fetch/$s_!T7AE!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!T7AE!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png" width="355" height="26" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:26,&quot;width&quot;:355,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!T7AE!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png 424w, /__u/substackcdn.com/image/fetch/$s_!T7AE!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png 848w, /__u/substackcdn.com/image/fetch/$s_!T7AE!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png 1272w, /__u/substackcdn.com/image/fetch/$s_!T7AE!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F09224634-d3f2-40e2-9701-dcd5cf7f5a67_355x26.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Substituindo essas express&#245;es na fun&#231;&#227;o objetivo, obtemos:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!xt5I!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!xt5I!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png 424w, /__u/substackcdn.com/image/fetch/$s_!xt5I!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png 848w, /__u/substackcdn.com/image/fetch/$s_!xt5I!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xt5I!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!xt5I!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png" width="528" height="26" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/a25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:26,&quot;width&quot;:528,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!xt5I!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png 424w, /__u/substackcdn.com/image/fetch/$s_!xt5I!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png 848w, /__u/substackcdn.com/image/fetch/$s_!xt5I!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png 1272w, /__u/substackcdn.com/image/fetch/$s_!xt5I!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fa25032b7-7630-45bd-bcf3-d51c3911cdca_528x26.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Para encontrar a aloca&#231;&#227;o &#243;tima, derivamos a utilidade esperada em rela&#231;&#227;o aos pesos dos ativos e igualamos a zero. A derivada parcial em rela&#231;&#227;o ao peso em a&#231;&#245;es &#233;:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!nILO!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!nILO!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png 424w, /__u/substackcdn.com/image/fetch/$s_!nILO!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png 848w, /__u/substackcdn.com/image/fetch/$s_!nILO!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png 1272w, /__u/substackcdn.com/image/fetch/$s_!nILO!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!nILO!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png" width="415" height="46" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:46,&quot;width&quot;:415,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!nILO!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png 424w, /__u/substackcdn.com/image/fetch/$s_!nILO!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png 848w, /__u/substackcdn.com/image/fetch/$s_!nILO!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png 1272w, /__u/substackcdn.com/image/fetch/$s_!nILO!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F49d3552f-5606-42c2-98dc-b9cefbc1846d_415x46.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>De forma an&#225;loga, a derivada parcial em rela&#231;&#227;o ao peso em t&#237;tulos &#233;:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!46PZ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!46PZ!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png 424w, /__u/substackcdn.com/image/fetch/$s_!46PZ!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png 848w, /__u/substackcdn.com/image/fetch/$s_!46PZ!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png 1272w, /__u/substackcdn.com/image/fetch/$s_!46PZ!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!46PZ!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png" width="416" height="46" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/619590f6-4278-473a-834f-5626d90cc8b6_416x46.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:46,&quot;width&quot;:416,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!46PZ!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png 424w, /__u/substackcdn.com/image/fetch/$s_!46PZ!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png 848w, /__u/substackcdn.com/image/fetch/$s_!46PZ!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png 1272w, /__u/substackcdn.com/image/fetch/$s_!46PZ!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F619590f6-4278-473a-834f-5626d90cc8b6_416x46.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p><strong>Condi&#231;&#227;o de &#243;timo interior</strong></p><p>O portf&#243;lio &#243;timo satisfaz a condi&#231;&#227;o:</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!Ewnr!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!Ewnr!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png 424w, /__u/substackcdn.com/image/fetch/$s_!Ewnr!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png 848w, /__u/substackcdn.com/image/fetch/$s_!Ewnr!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Ewnr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!Ewnr!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png" width="189" height="46" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:46,&quot;width&quot;:189,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!Ewnr!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png 424w, /__u/substackcdn.com/image/fetch/$s_!Ewnr!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png 848w, /__u/substackcdn.com/image/fetch/$s_!Ewnr!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png 1272w, /__u/substackcdn.com/image/fetch/$s_!Ewnr!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1ba48140-71fc-4ef0-be76-64219e8bcbba_189x46.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p>Nesse ponto, n&#227;o &#233; poss&#237;vel aumentar a utilidade esperada por meio de realoca&#231;&#245;es marginais entre a&#231;&#245;es e t&#237;tulos. A aloca&#231;&#227;o encontrada maximiza a fun&#231;&#227;o de utilidade do investidor, dado seu grau de avers&#227;o ao risco. Na tabela abaixo, mostramos o resultado da otimiza&#231;&#227;o, com tr&#234;s par&#226;metros distintos de risco, resultado em tr&#234;s diferentes carteiras para investidores de perfis diferentes.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!T6kp!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!T6kp!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png 424w, /__u/substackcdn.com/image/fetch/$s_!T6kp!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png 848w, /__u/substackcdn.com/image/fetch/$s_!T6kp!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png 1272w, /__u/substackcdn.com/image/fetch/$s_!T6kp!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!T6kp!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png" width="1456" height="319" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:319,&quot;width&quot;:1456,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:62374,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/183586746?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!T6kp!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png 424w, /__u/substackcdn.com/image/fetch/$s_!T6kp!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png 848w, /__u/substackcdn.com/image/fetch/$s_!T6kp!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png 1272w, /__u/substackcdn.com/image/fetch/$s_!T6kp!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fca7b5eb1-ebe5-4965-a59a-77073eb1de62_1471x322.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p></p><p><strong>Qual portif&#243;lio escolher?</strong></p><p></p><p>A teoria vista acima, oferece uma metodologia robusta para a constru&#231;&#227;o de portf&#243;lios adequados de acordo com a prefer&#234;ncia de risco e retorno do investidor. No entanto, muitas vezes, o investidor pode ter dificuldades em definir qual o seu perfil de acordo com as proje&#231;&#245;es de retorno e volatilidade esperadas.</p><p>Uma op&#231;&#227;o para auxiliar neste processo &#233; o c&#225;lculo do Var a 1%. O VaR a 1% mede a perda m&#225;xima esperada em um determinado horizonte que s&#243; deve ser ultrapassada em 1% dos cen&#225;rios mais adversos, assumindo uma distribui&#231;&#227;o normal dos retornos. Por exemplo, um VaR de 29,8% em 1 ano indica que existe apenas 1% de probabilidade de o portf&#243;lio perder mais do que 29,8% do seu valor ao longo desse per&#237;odo. Outra forma de avaliar a disposi&#231;&#227;o ao risco do investidor &#233; calcular a chance do retorno ficar abaixo de zero.</p><p>Estas duas op&#231;&#245;es s&#227;o calculadas para os tr&#234;s portf&#243;lios abaixo para os horizontes de um e tr&#234;s anos.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!O68f!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!O68f!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png 424w, /__u/substackcdn.com/image/fetch/$s_!O68f!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png 848w, /__u/substackcdn.com/image/fetch/$s_!O68f!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png 1272w, /__u/substackcdn.com/image/fetch/$s_!O68f!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!O68f!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png" width="1282" height="267" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/c04c0130-736d-40e0-8309-3868256503a0_1282x267.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:267,&quot;width&quot;:1282,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:42705,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/183586746?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!O68f!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png 424w, /__u/substackcdn.com/image/fetch/$s_!O68f!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png 848w, /__u/substackcdn.com/image/fetch/$s_!O68f!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png 1272w, /__u/substackcdn.com/image/fetch/$s_!O68f!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc04c0130-736d-40e0-8309-3868256503a0_1282x267.png 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a></figure></div><p></p><p><strong>Considera&#231;&#245;es finais</strong></p><p></p><p>Neste ensaio, revisamos os fundamentos da Teoria Moderna do Portf&#243;lio, conforme proposta por Markowitz, e aplicamos o arcabou&#231;o m&#233;dia&#8211;vari&#226;ncia a um exemplo pr&#225;tico com dados do mercado americano. No pr&#243;ximo ensaio, repetiremos o exerc&#237;cio sob a &#243;tica de um investidor brasileiro.</p><p></p>]]></content:encoded></item><item><title><![CDATA[Por que heróis podem ser importantes em uma democracia?]]></title><description><![CDATA[O que a narrativa sobre os Founding Fathers americanos nos ensina?]]></description><link>https://andresennaduarte.substack.com/p/por-que-herois-podem-ser-importantes</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/por-que-herois-podem-ser-importantes</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Fri, 26 Dec 2025 10:33:14 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!GzvA!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbf2fa15d-9a37-4bed-9bdc-2e49b5e689c0_420x418.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!GzvA!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbf2fa15d-9a37-4bed-9bdc-2e49b5e689c0_420x418.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!GzvA!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbf2fa15d-9a37-4bed-9bdc-2e49b5e689c0_420x418.png 424w, /__u/substackcdn.com/image/fetch/$s_!GzvA!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!GzvA!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbf2fa15d-9a37-4bed-9bdc-2e49b5e689c0_420x418.png" width="420" height="418" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p><strong>Conta a hist&#243;ria que, quando crian&#231;a, certa vez, George Washington derrubou uma cerejeira na fazenda de seu pai.</strong><br><br>Ao ser confrontado, respondeu sem titubear: <strong>&#8220;N&#227;o posso mentir.&#8221;</strong><br><br>Essa hist&#243;ria foi narrada pela primeira vez por Parson Weems, seu primeiro bi&#243;grafo. N&#227;o h&#225; comprova&#231;&#227;o de que o epis&#243;dio tenha ocorrido, e a maioria dos autores posteriores acredita tratar-se de uma lenda.<br><br>No entanto, isso n&#227;o &#233; o essencial. <strong>O essencial &#233; que, por gera&#231;&#245;es, essa hist&#243;ria foi repetida, ensinada e preservada, sendo transmitida at&#233; hoje.</strong> A hist&#243;ria da cerejeira foi incorporada a livros infantis, escolas, biografias populares e &#224; cultura c&#237;vica americana.<br><br>Pode n&#227;o ser um fato hist&#243;rico. <strong>Mas representa um modelo de car&#225;ter dos Founding Fathers dos EUA. </strong>Uma personalidade capaz de inspirar todas as gera&#231;&#245;es de americanos. <strong>Uma narrativa de como deve ser o americano ideal</strong>. Pedagogicamente, a hist&#243;ria da cerejeira se assemelha ao conceito de imperativo categ&#243;rico de Immanuel Kant, desenvolvido mais tarde.<br><br>Se essa hist&#243;ria &#233; verdadeira ou n&#227;o, talvez nunca saibamos. <strong>Mas sabemos que as a&#231;&#245;es de George Washington ao longo da vida corroboram uma personalidade &#233;tica extraordin&#225;ria</strong>.<br><br>Quando jovem, Washington era impulsivo, orgulhoso e temperamental &#8212; e tinha plena consci&#234;ncia disso. Por isso, decidiu copiar &#224; m&#227;o um manual chamado Rules of Civility: 110 regras de autocontrole e disciplina, que repetia constantemente. Com isso, trabalhou o pr&#243;prio car&#225;ter antes de liderar outros.<br><br>J&#225; adulto, mantinha um di&#225;rio. Nele, anotava cada decis&#227;o, cada erro, e avaliava moralmente suas pr&#243;prias escolhas.<br><br><strong>Ap&#243;s vencer a Guerra de Independ&#234;ncia, poderia ter feito qualquer coisa: permanecer no poder, tornar-se rei.</strong><br><br>Mas fez o oposto. <strong>Renunciou ao comando militar, voltou para casa e recusou um terceiro mandato.</strong><br><br>Esse gesto chocou os governantes de seu tempo. Ao ser informado de que Washington realmente abriria m&#227;o do poder, George III, rei da Inglaterra, teria comentado: &#8220;Se ele fizer isso, ser&#225; o maior homem do mundo.&#8221;<br><br><strong>Washington n&#227;o foi uma exce&#231;&#227;o isolada de conduta exemplar. </strong>Outros Founding Fathers tamb&#233;m fizeram escolhas &#233;ticas que inspiram os Estados Unidos at&#233; hoje.<br><br><strong>John Adams, ainda jovem advogado, defendeu soldados brit&#226;nicos acusados no Massacre de Boston</strong>. Sabia que perderia prest&#237;gio, pois a ent&#227;o col&#244;nia se voltava contra a metr&#243;pole. Mesmo assim, seguiu adiante, pois acreditava na aplica&#231;&#227;o correta da lei. Para ele, o Estado de Direito valia mais do que a paix&#227;o pol&#237;tica ou a popularidade.<br><br><strong>Thomas Jefferson rejeitava toda forma de pompa, t&#237;tulos e formalidades aristocr&#225;ticas t&#237;picas da &#233;poca</strong>. Recebia visitantes sem cerim&#244;nia, vestia-se com simplicidade e evitava s&#237;mbolos de hierarquia. <strong>Para ele, a democracia exige igualdade de h&#225;bitos e modos, n&#227;o apenas igualdade perante a lei</strong>.<br><br><strong>Benjamin Franklin mantinha um di&#225;rio moral</strong>. Registrava diariamente suas falhas, tentando corrigi-las quando ningu&#233;m estava olhando. <strong>Acreditava que democracias n&#227;o caem primeiro pelas institui&#231;&#245;es, mas quando os indiv&#237;duos abandonam o autoexame moral.</strong><br><br><strong>Democracias n&#227;o se sustentam apenas por constitui&#231;&#245;es, tribunais ou elei&#231;&#245;es</strong>. <strong>Elas dependem de padr&#245;es morais compartilhados, ensinados, repetidos e transmitidos ao longo do tempo. A narrativa de um comportamento moral elevado &#233; fundamental para o bom funcionamento do regime e, consequentemente, do pa&#237;s.</strong><br><br><strong>Uma narrativa moral compartilhada cria confian&#231;a entre as pessoas e facilita a a&#231;&#227;o coletiva quando o pa&#237;s mais precisa.</strong><br><br><strong>Voltando ao Brasil, temos her&#243;is?</strong><br><br>Segundo Montesquieu, a virtude republicana exige modera&#231;&#227;o. E a modera&#231;&#227;o exige a capacidade de limitar a si mesmo. <strong>George Washington compreendeu a import&#226;ncia de se autolimitar pelo bem do pa&#237;s.</strong><br><br><strong>Qual pol&#237;tico no Brasil aceitou se autolimitar? </strong>Por exemplo:<br><br>- Quantos chefes do Executivo afirmaram que n&#227;o buscariam a reelei&#231;&#227;o e, quando chegou o momento, cumpriram o que disseram?<br><br>- Qual juiz renomado decidiu voluntariamente limitar os poderes de seu tribunal?<br><br>- Qual legislador votou contra os interesses de sua base por acreditar ser o melhor para o coletivo?<br><br>Da mesma forma, <strong>qual pol&#237;tico preferiu seguir o imperativo moral aos clamores da massa, como fez John Adams?</strong><br><br><strong>E qual pol&#237;tico ou figura relevante do Estado decidiu levar uma vida simples, como Thomas Jefferson?</strong> Por exemplo:<br><br>- Quem deixou de se hospedar em hot&#233;is de luxo no exterior em favor de uma postura mais modesta?<br><br>- Qual pol&#237;tico rejeitou o uso de dinheiro p&#250;blico, mesmo quando dispon&#237;vel?<br><br>- Quem votou contra aumentos de benef&#237;cios pr&#243;prios?<br><br><strong>E quem, no Brasil, admitiu erros publicamente, como Benjamin Franklin fez in&#250;meras vezes, sempre disposto a mudar de opini&#227;o quando os fatos o contradiziam?</strong><br><br>H&#225; alguns casos isolados de resposta positiva no Brasil, geralmente envolvendo figuras de menor peso pol&#237;tico. Mas raramente vemos esse tipo de comportamento nas grandes lideran&#231;as.<br><br><strong>De alguma forma, os brasileiros normalizaram uma narrativa n&#227;o republicana de comportamento dos agentes p&#250;blicos. O esperado passou a ser que cada um aja de acordo com o pr&#243;prio interesse. Al&#233;m disso, a atua&#231;&#227;o imoral tornou-se comum &#8212; mesmo quando n&#227;o &#233; ilegal.</strong><br><br><strong>Essa narrativa &#233; altamente nociva do ponto de vista social. Ela cria uma sociedade em que os brasileiros n&#227;o confiam uns nos outros &#8212; e muito menos no Estado.</strong><br><br>Em sua coluna mais recente, a jornalista Malu Gaspar afirmou que a democracia n&#227;o precisa de her&#243;is.<br><br>Minha primeira rea&#231;&#227;o foi concordar. <strong>No entanto, a hist&#243;ria americana sugere que her&#243;is s&#227;o, sim, importantes para a democracia. O problema no Brasil &#233; a aus&#234;ncia hist&#243;rica deles. N&#227;o temos refer&#234;ncias &#233;ticas universais amplamente compartilhadas.</strong><br><br><strong>E, com isso, carecemos de uma narrativa positiva capaz de inspirar gera&#231;&#245;es de brasileiros, de forma universal, independentemente da inclina&#231;&#227;o pol&#237;tica. </strong></p>]]></content:encoded></item><item><title><![CDATA[O Que É uma Classe de Ativos?]]></title><description><![CDATA[Como identificar classes de ativos e por que isso importa para a constru&#231;&#227;o do portf&#243;lio do investidor]]></description><link>https://andresennaduarte.substack.com/p/o-que-e-uma-classe-de-ativos</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/o-que-e-uma-classe-de-ativos</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Fri, 05 Dec 2025 11:45:45 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!X9jN!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><p>A aloca&#231;&#227;o em ativos, ou na terminologia da l&#237;ngua inglesa <em>asset allocation</em>, &#233; um dos maiores desafios que o investidor enfrenta, mas gra&#231;as &#224; teoria moderna do portf&#243;lio de Harry Markowitz, n&#243;s temos um guia amplamente aceito de como proceder.</p><p>De acordo com seu artigo cl&#225;ssico, <em>Portfolio Selection</em>, investidores n&#227;o devem se preocupar apenas em escolher portf&#243;lios com o maior retorno esperado. Investidores tamb&#233;m se importam com os riscos assumidos.</p><p>Um exemplo extremo pode ser ilustrativo. A pesquisa de um determinado medicamento pode ser identificada como a de maior retorno poss&#237;vel entre todas as escolhas do investidor. No entanto, se a pesquisa n&#227;o prosperar, o valor desse investimento pode ir a zero. Concentrar os investimentos em um &#250;nico ativo tende a ser inadequado para a grande maioria dos investidores, dado o risco de ru&#237;na.</p><p>Dessa forma, investidores devem escolher n&#227;o apenas o conjunto de ativos com retorno esperado mais alto de forma isolada, mas o portf&#243;lio com maior valor esperado sujeito a um determinado risco considerado. Nesse sentido, a vari&#226;ncia dos retornos, uma medida de dispers&#227;o, &#233; geralmente adequada para medir o risco assumido, segundo o autor.</p><p>Existem quatro passos para a implementa&#231;&#227;o pr&#225;tica da teoria do portf&#243;lio: (i) identificar as classes de ativos; (ii) estimar retorno esperado, vari&#226;ncia e correla&#231;&#245;es; (iii) identificar os portf&#243;lios com maior retorno dado diferentes n&#237;veis de risco; e, finalmente, (iv) escolher o melhor portf&#243;lio dado nossa avers&#227;o ao risco.</p><p>H&#225; uma s&#233;rie de quest&#245;es pr&#225;ticas para a implementa&#231;&#227;o das ideias acima. Neste texto, vamos nos concentrar no primeiro item, isto &#233;, como identificar as diferentes classes de ativos.</p><p><strong>Identificando uma classe de ativos</strong></p><p>Investidores t&#234;m acesso a uma quantidade impressionante de diferentes ativos que v&#227;o de valores mobili&#225;rios individuais &#8212; como a&#231;&#245;es e t&#237;tulos do governo &#8212; at&#233; fundos amplamente diversificados, cada um com caracter&#237;sticas diferentes, e em diversos pa&#237;ses. Dessa forma, a primeira a&#231;&#227;o nesse processo &#233; organizar esse imenso conjunto de oportunidades em algo mais manej&#225;vel.</p><p>Por&#233;m, h&#225; um inevit&#225;vel <em>trade-off</em>. Se o investidor organizar toda essa gama de ativos de forma muito individualizada, ter&#225; dificuldades de lidar com a grande quantidade de informa&#231;&#227;o. Por outro lado, se organizar de forma excessivamente concentrada, n&#227;o ter&#225; efici&#234;ncia na diversifica&#231;&#227;o do risco.</p><p>Dessa forma, surge o conceito de classes de ativos, que serve justamente para oferecer ao investidor um equil&#237;brio adequado entre granularidade e agrega&#231;&#227;o.</p><p>Neste texto, seguiremos a defini&#231;&#227;o proposta em Kinlaw, W., Kritzman, M., &amp; Turkington, D. (2021). <em>Asset Allocation: From Theory to Practice and Beyond</em>. Segundo os autores, uma classe de ativos &#233;:</p><p>(1) Uma agrega&#231;&#227;o est&#225;vel de (2) unidades de investimento que s&#227;o (3) internamente homog&#234;neas, (4) externamente heterog&#234;neas, que quando adicionado a um portf&#243;lio (5) aumenta a utilidade esperada, (6) sem requerer habilidade de sele&#231;&#227;o e que (7) pode ser acessados em tamanho economicamente eficiente.</p><p>A defini&#231;&#227;o n&#227;o &#233; simples. Por isso, vamos destrinch&#225;-la.</p><p><strong>Agrega&#231;&#227;o Est&#225;vel</strong></p><p>A primeira caracter&#237;stica &#233; que uma classe de ativos deve ter uma composi&#231;&#227;o de ativos individuais de forma relativamente est&#225;vel. Caso contr&#225;rio, seria necess&#225;rio cont&#237;nuo monitoramento de sua composi&#231;&#227;o e an&#225;lises frequentes, com rebalanceamentos constantes. Esse esfor&#231;o seria exageradamente custoso, violando a ideia de simplifica&#231;&#227;o: haveria exagerada granularidade.</p><p>Um exemplo: um &#237;ndice tradicional de a&#231;&#245;es &#233; composto por empresas tipicamente ponderadas pelo seu valor de mercado. Esse mecanismo gera uma agrega&#231;&#227;o est&#225;vel: quando os pre&#231;os mudam, a capitaliza&#231;&#227;o relativa muda proporcionalmente.</p><p>No entanto, um contraexemplo &#233; o investimento em um &#237;ndice que leve em conta os chamados &#8220;fatores&#8221;, que podem levar a excessiva instabilidade. Caso os atributos das a&#231;&#245;es correspondentes a determinado fator mudem frequentemente, a composi&#231;&#227;o do &#237;ndice ser&#225; inst&#225;vel. Esse &#233; o caso t&#237;pico do fator momento, que leva em considera&#231;&#227;o a performance hist&#243;rica do pre&#231;o da a&#231;&#227;o para decidir sua perman&#234;ncia no portf&#243;lio. No entanto, caracter&#237;sticas mais est&#225;veis, como valor, podem ser adequadas para definir uma classe de ativos.</p><p><strong>Invest&#237;vel</strong></p><p>Os componentes de uma classe de ativos devem ser invest&#237;veis. Em muitos casos, investidores possuem determinada tese sobre a dire&#231;&#227;o de uma vari&#225;vel econ&#244;mica. Nesse caso, devem procurar ativos que tendam a ter performance adequada ao comportamento esperado da vari&#225;vel. Esse processo de replica&#231;&#227;o &#233; um desafio, pois o comportamento <em>out-of-sample</em> n&#227;o &#233; trivial e a composi&#231;&#227;o ideal pode mudar com frequ&#234;ncia.</p><p><strong>Internamente homog&#234;neo</strong></p><p>Os ativos dentro de uma mesma classe precisam ser similares. Caso contr&#225;rio, o investidor estaria estabelecendo uma restri&#231;&#227;o impl&#237;cita que potencialmente diminuiria as possibilidades do portf&#243;lio e limitaria o atingimento de um portf&#243;lio eficiente. Ativos homog&#234;neos reagem de maneira parecida quando fatores econ&#244;micos mudam.</p><p>Por exemplo, considere uma classe de ativos que engloba todas as a&#231;&#245;es do mundo. As a&#231;&#245;es do Brasil tendem a se comportar de maneira diferente do restante do mundo em diversos momentos. Se o investidor estabelecer um portf&#243;lio com pesos fixos no Brasil e no restante do mundo, outros portf&#243;lios poder&#227;o existir com melhor retorno esperado dado o mesmo risco &#8212; ou o mesmo retorno, com menor risco. Ao se considerar duas classes diferentes &#8212; a&#231;&#245;es Brasil e a&#231;&#245;es no exterior &#8212; diversas combina&#231;&#245;es passam a ser poss&#237;veis, melhorando potencialmente o portf&#243;lio do investidor.</p><p>Fundos multimercado n&#227;o podem ser considerados uma classe de ativos, pois s&#227;o muito diferentes entre si, com estrat&#233;gias, ativos e limites de risco distintos.</p><p><strong>Externamente heterog&#234;neos</strong></p><p>Cada classe de ativos deve ser suficientemente diferente das demais. Al&#233;m disso, n&#227;o pode ser meramente uma combina&#231;&#227;o linear entre classes distintas. T&#237;tulos de d&#237;vida curtos e longos no Brasil, por exemplo, possuem caracter&#237;sticas diferentes e, portanto, s&#227;o classes distintas. J&#225; t&#237;tulos intermedi&#225;rios n&#227;o, pois s&#227;o semelhantes a uma combina&#231;&#227;o linear entre os dois.</p><p>Outro conjunto que n&#227;o pode ser considerado classe de ativos s&#227;o os t&#237;tulos <em>high yield</em>. Ser externamente heterog&#234;neo significa possuir <em>drivers</em> pr&#243;prios de risco. Os t&#237;tulos <em>high yield</em> comportam-se muitas vezes como uma combina&#231;&#227;o de risco de a&#231;&#245;es com risco de t&#237;tulos corporativos de alta qualidade.</p><p><strong>Utilidade Esperada (ser relevante para o portf&#243;lio)</strong></p><p>A classe de ativos deve aumentar a utilidade esperada do portf&#243;lio, seja por ter retorno esperado alto, baixa volatilidade ou baixa correla&#231;&#227;o com as demais classe, reduzindo o risco total. Um exemplo ajuda: um bilhete de loteria n&#227;o pode ser considerado uma classe de ativo, pois possui retorno esperado negativo, aumenta a volatilidade do portf&#243;lio e tem correla&#231;&#227;o zero com os demais ativos.</p><p><strong>Habilidade de Sele&#231;&#227;o Limitada</strong></p><p>Uma classe de ativos n&#227;o deve depender da habilidade de um gestor espec&#237;fico para elevar a utilidade do portf&#243;lio. Ela deve elevar a utilidade por si s&#243;. Nem todos os investidores t&#234;m habilidade para escolher ativos espec&#237;ficos, mas isso n&#227;o impede que se beneficiem da classe de ativos como um todo.</p><p>Da mesma forma, multimercados exigem elevado conhecimento para sele&#231;&#227;o e, portanto, n&#227;o se enquadram como uma classe de ativos.</p><p><strong>Acesso eficiente economicamente</strong></p><p>Investidores devem ser capazes de alocar recursos em valores relevantes sem pagar custos excessivos de transa&#231;&#227;o ou impactar a liquidez de forma substancial. Se o custo for elevado, pode comprometer o retorno esperado e n&#227;o elevar a utilidade do portf&#243;lio. Ativos como cole&#231;&#245;es, artes e livros s&#227;o tipicamente considerados classes de ativos apenas para investidores privados espec&#237;ficos, e n&#227;o para investidores institucionais. Isso mostra que a defini&#231;&#227;o pode depender do perfil e das circunst&#226;ncias do investidor.</p><p><strong>Avaliando quantitativamente quais s&#227;o as classes de ativos.</strong></p><p>A literatura avalia classes de ativos de diversas formas. Neste exemplo, utilizamos dados do S&amp;P 500, t&#237;tulos <em>investment grade</em> americanos (ETF LQD), t&#237;tulos <em>high yield</em> (HYG ETF), t&#237;tulos do governo de 7 a 10 anos (IEF ETF), a&#231;&#245;es emergentes (EEM ETF) e a&#231;&#245;es de pa&#237;ses desenvolvidos ex-EUA (EFA ETF). Abaixo, mostramos a matriz de correla&#231;&#227;o dos retornos mensais desses ativos. Os dados come&#231;am em abril de 2007 e v&#227;o at&#233; novembro de 2025.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!X9jN!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!X9jN!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png 424w, /__u/substackcdn.com/image/fetch/$s_!X9jN!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png 848w, /__u/substackcdn.com/image/fetch/$s_!X9jN!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png 1272w, /__u/substackcdn.com/image/fetch/$s_!X9jN!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!X9jN!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png" width="1395" height="783" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:783,&quot;width&quot;:1395,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!X9jN!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png 424w, /__u/substackcdn.com/image/fetch/$s_!X9jN!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png 848w, /__u/substackcdn.com/image/fetch/$s_!X9jN!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png 1272w, /__u/substackcdn.com/image/fetch/$s_!X9jN!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F97788663-f474-4687-8833-5bdd6b04fd34_1395x783.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>A matriz sugere dois casos extremos: os t&#237;tulos do governo (IEF) apresentam baixa correla&#231;&#227;o com a maioria dos ativos, exceto os corporativos mais seguros, mostrando potencial para reduzir o risco do portf&#243;lio. J&#225; os t&#237;tulos de d&#237;vida de maior risco (HYG) apresentam correla&#231;&#227;o elevada com quase tudo, sugerindo menor benef&#237;cio de diversifica&#231;&#227;o. Desta forma, avaliando simplesmente a correla&#231;&#227;o, podemos ver algum m&#233;rito na diversifica&#231;&#227;o em torno dos t&#237;tulos do governo, enquanto d&#250;vidas com rela&#231;&#227;o aos m&#233;ritos de uma classe de ativos formada por t&#237;tulos corporativos mais arriscados.</p><p>Outra forma de avaliar &#233; o dendrograma, que mostra como diferentes elementos se agrupam segundo sua similaridade. Quanto mais alto o ponto de jun&#231;&#227;o, menos parecidos s&#227;o. O algoritmo tamb&#233;m reconhece clusters de ativos com comportamentos parecidos. Vejamos o gr&#225;fico abaixo.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!RlId!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!RlId!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png 424w, /__u/substackcdn.com/image/fetch/$s_!RlId!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png 848w, /__u/substackcdn.com/image/fetch/$s_!RlId!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png 1272w, /__u/substackcdn.com/image/fetch/$s_!RlId!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!RlId!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png" width="1410" height="797" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:797,&quot;width&quot;:1410,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:null,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:null,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:null,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!RlId!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png 424w, /__u/substackcdn.com/image/fetch/$s_!RlId!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png 848w, /__u/substackcdn.com/image/fetch/$s_!RlId!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png 1272w, /__u/substackcdn.com/image/fetch/$s_!RlId!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F69433964-aac0-4f8e-88de-7edd613e2d21_1410x797.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Destaca-se novamente os t&#237;tulos do governo que est&#227;o isolados do restante, embora mais pr&#243;ximos dos t&#237;tulos corporativos de maior qualidade, que s&#227;o um meio termos entre os demais clusters. J&#225; os t&#237;tulos de maior risco, est&#227;o no grupo dos &#237;ndices acion&#225;rios, mostrando que este se comporta mais parecido com as a&#231;&#245;es do que com os demais t&#237;tulos. Por fim, a bolsa americana e a bolsa desenvolvida ex-EUA s&#227;o ativos mais pr&#243;ximos.</p><p>Por &#250;ltimo, outra forma destacada de avalia&#231;&#227;o &#233; atrav&#233;s do pr&#243;prio c&#225;lculo da fronteira eficiente. A fronteira eficiente mostra uma certa combina&#231;&#227;o dos ativos com maior n&#237;vel de retorno esperado dado uma determinada volatilidade esperada. Por simplifica&#231;&#227;o, utilizamos aqui o retorno esperado hist&#243;rico. Neste caso, estimamos a fronteira eficiente com e sem o conjunto de ativos sendo avaliado e observamos se h&#225; ganhos na utiliza&#231;&#227;o destes ativos.</p><p>No gr&#225;fico abaixo, vemos que remover os t&#237;tulos do governo reduz a fronteira eficiente de forma importante. Isto sugere a import&#226;ncia dessa classe de ativos para o portif&#243;lio.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!7kIL!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F16f8f544-ed41-424f-be1e-c38567346f6e_1275x685.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!7kIL!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F16f8f544-ed41-424f-be1e-c38567346f6e_1275x685.png 424w, /__u/substackcdn.com/image/fetch/$s_!7kIL!, /__u/andresennaduarte.substack.com/w_848, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F16f8f544-ed41-424f-be1e-c38567346f6e_1275x685.png 424w, /__u/substackcdn.com/image/fetch/$s_!7kIL!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F16f8f544-ed41-424f-be1e-c38567346f6e_1275x685.png 848w, /__u/substackcdn.com/image/fetch/$s_!7kIL!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F16f8f544-ed41-424f-be1e-c38567346f6e_1275x685.png 1272w, /__u/substackcdn.com/image/fetch/$s_!7kIL!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F16f8f544-ed41-424f-be1e-c38567346f6e_1275x685.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Por outro lado, no gr&#225;fico seguinte, vemos o oposto com rela&#231;&#227;o aos t&#237;tulos de cr&#233;dito mais arriscados. Abaixo, n&#227;o observamos mudan&#231;as relevantes em remover este ativo. Isto &#233;, t&#237;tulos <em>high yield</em> n&#227;o s&#227;o relevantes para o portif&#243;lio.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!SYO3!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe7d6cbaa-8e9b-4b59-aa91-a778f5fd464f_1308x720.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!SYO3!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe7d6cbaa-8e9b-4b59-aa91-a778f5fd464f_1308x720.png 424w, /__u/substackcdn.com/image/fetch/$s_!SYO3!, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe7d6cbaa-8e9b-4b59-aa91-a778f5fd464f_1308x720.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!SYO3!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe7d6cbaa-8e9b-4b59-aa91-a778f5fd464f_1308x720.png" width="1308" height="720" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe7d6cbaa-8e9b-4b59-aa91-a778f5fd464f_1308x720.png 424w, /__u/substackcdn.com/image/fetch/$s_!SYO3!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe7d6cbaa-8e9b-4b59-aa91-a778f5fd464f_1308x720.png 848w, /__u/substackcdn.com/image/fetch/$s_!SYO3!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe7d6cbaa-8e9b-4b59-aa91-a778f5fd464f_1308x720.png 1272w, /__u/substackcdn.com/image/fetch/$s_!SYO3!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe7d6cbaa-8e9b-4b59-aa91-a778f5fd464f_1308x720.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p><strong>Considera&#231;&#245;es finais</strong></p><p>Neste texto, estudamos a defini&#231;&#227;o o que &#233; uma classe de ativos e alguns m&#233;todos para avaliar se uma determinada classe de ativos deve integrar o portif&#243;lio. A import&#226;ncia deste passo n&#227;o pode ser subestimada: &#233; necess&#225;rio avaliar quais conjuntos de ativos funcionam como um classe de ativos e assim, eleg&#237;vel a integrar o portif&#243;lio do investidor.</p><p>No pr&#243;ximo post, estudaremos os fundamentos da aloca&#231;&#227;o em ativos em maiores detalhes.</p>]]></content:encoded></item><item><title><![CDATA[Por que faz sentido pagar aposentadorias mais altas para quem tem filhos?]]></title><description><![CDATA[Por que uma reforma do sistema de Previd&#234;ncia Social no mundo devem incluir regras de est&#237;mulo a natalidade?]]></description><link>https://andresennaduarte.substack.com/p/por-que-faz-sentido-pagar-aposentadorias</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/por-que-faz-sentido-pagar-aposentadorias</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Mon, 01 Dec 2025 11:30:55 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!p5qq!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5955c18c-d831-406c-913c-f8f7dd199565_1317x692.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><p>Os jovens est&#227;o deixando de ter filhos. N&#227;o &#233; uma discuss&#227;o, mas um fato que est&#225; atingindo n&#237;veis alarmantes globalmente. Existe atualmente amplo debate sobre o porqu&#234; disso estar ocorrendo, por&#233;m falta um diagn&#243;stico. O que &#233; claro &#233; que h&#225; evid&#234;ncias robustas de que as in&#250;meras pol&#237;ticas p&#250;blicas de est&#237;mulo &#224; natalidade n&#227;o est&#227;o funcionando, mesmo em pa&#237;ses com recursos para faz&#234;-lo.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!p5qq!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5955c18c-d831-406c-913c-f8f7dd199565_1317x692.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!p5qq!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5955c18c-d831-406c-913c-f8f7dd199565_1317x692.png 1272w, /__u/substackcdn.com/image/fetch/$s_!p5qq!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5955c18c-d831-406c-913c-f8f7dd199565_1317x692.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Assim, talvez neste debate que possivelmente &#233; o mais importante do s&#233;culo XXI, precisemos pensar de forma diferente. Para isso, &#233; necess&#225;rio olhar a hist&#243;ria de maneira mais ampla. Ser&#225; que existe uma rela&#231;&#227;o entre a introdu&#231;&#227;o das pens&#245;es garantidas pelo Estado e a queda da natalidade?</p><p></p><p>N&#227;o &#233; dif&#237;cil entender por que essa discuss&#227;o pode ser relevante. Durante mil&#234;nios, at&#233; o s&#233;culo XX, ter filhos n&#227;o era apenas uma quest&#227;o de v&#237;nculos afetivos, mas tamb&#233;m uma forma de prote&#231;&#227;o na velhice. Os adultos investiam em grandes fam&#237;lias quando jovens para terem amparo quando envelhecessem. Quanto maior a fam&#237;lia, maior o n&#237;vel de prote&#231;&#227;o futura.</p><p></p><p>Mas o s&#233;culo XX redesenhou esse arranjo por meio da interven&#231;&#227;o do Estado. A ideia surgida na Alemanha era de uma pens&#227;o apenas para aqueles que ultrapassassem os 65 anos, num momento em que a expectativa de vida era extremamente baixa. Com o tempo, os programas de previd&#234;ncia social se espalharam pelo mundo e se tornaram generosos, a ponto de hoje consumirem parcela substancial do or&#231;amento p&#250;blico. Uma consequ&#234;ncia desse novo arranjo &#233; que os filhos deixaram de ser economicamente necess&#225;rios aos pais na velhice. E isso vem alterando cada vez mais os incentivos dos jovens quanto a ter filhos.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!KK6-!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F998eb905-b91b-4098-944f-34e746f9f8e1_1506x750.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!KK6-!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F998eb905-b91b-4098-944f-34e746f9f8e1_1506x750.png 424w, /__u/substackcdn.com/image/fetch/$s_!KK6-!, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F998eb905-b91b-4098-944f-34e746f9f8e1_1506x750.png 1272w, /__u/substackcdn.com/image/fetch/$s_!KK6-!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F998eb905-b91b-4098-944f-34e746f9f8e1_1506x750.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>&#201; cada vez mais frequente que adultos saud&#225;veis, inclusive aqueles com recursos, optem por n&#227;o ter filhos. Quem decide n&#227;o t&#234;-los muitas vezes colhe benef&#237;cios maiores: mais renda dispon&#237;vel, menos custos, mais tempo para a carreira e maior liberdade no geral. J&#225; quem decide ter filhos paga um pre&#231;o elevado: financeiro, profissional e emocional. M&#227;es e pais que se dedicam integralmente aos cuidados dos filhos, em muitos pa&#237;ses, sequer acumulam prote&#231;&#227;o previdenci&#225;ria suficiente, porque a sociedade n&#227;o os reconhece como tendo contribu&#237;do para algo que, sem d&#250;vidas, &#233; fundamental para o futuro coletivo.</p><p></p><p>Fala-se que os sistemas de Previd&#234;ncia t&#234;m solidariedade entre gera&#231;&#245;es. Mas estes sistemas nunca levaram em conta que um ind&#237;vudo n&#227;o contriui apenas com recursos monet&#225;rios para o sistema. A solv&#234;ncia do sistema tamb&#233;m depende da popula&#231;&#227;o ter filhos.  </p><p></p><p>O ciclo que vivemos &#233; claro e ao mesmo tempo alarmante:</p><ul><li><p>Uma popula&#231;&#227;o mais idosa necessita de mais recursos p&#250;blicos. E as duas formas de obt&#234;-los s&#227;o a redu&#231;&#227;o de investimentos ou o aumento de impostos (ou maior endividamento). Isso est&#225; acontecendo em praticamente todos os pa&#237;ses que enfrentam envelhecimento acelerado.</p><p></p></li><li><p>Por outro lado, sobram menos recursos para investir nos jovens. Eles precisam de transporte para trabalhar, de moradia, de infraestrutura p&#250;blica, de oportunidades. Precisam acumular riqueza &#8212; mas os impostos cada vez mais elevados os impedem.</p><p></p></li><li><p>O jovem, ent&#227;o, ao perceber um quadro financeiro pessoal cada vez mais dif&#237;cil e, ao mesmo tempo, acreditar que o Estado ir&#225; sustent&#225;-lo na velhice, decide ter menos filhos &#8212; ou simplesmente n&#227;o t&#234;-los.</p><p></p></li></ul><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!BBXf!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15db9f92-a736-4c93-a88b-70fc8c1e296e_1598x771.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!BBXf!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15db9f92-a736-4c93-a88b-70fc8c1e296e_1598x771.png 1272w, /__u/substackcdn.com/image/fetch/$s_!BBXf!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F15db9f92-a736-4c93-a88b-70fc8c1e296e_1598x771.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Ao longo das &#250;ltimas d&#233;cadas, houve v&#225;rias tentativas de elevar a natalidade. A imensa maioria falhou. E, quando funcionaram, o efeito foi marginal. </p><p></p><p>Em nenhum pa&#237;s, debates sobre reforma da previd&#234;ncia s&#227;o vinculados ao tema do est&#237;mulo &#224; natalidade. Pol&#237;ticos tratam como assuntos dissociados, quando na verdade s&#227;o profundamente interligados. Trata-se de um tema politicamente dif&#237;cil, sem d&#250;vidas. </p><p></p><p>Diferenciar o valor das aposentadorias n&#227;o apenas pelo tempo de contribui&#231;&#227;o e pelos sal&#225;rios, mas tamb&#233;m pelo n&#250;mero de filhos, &#233; um debate socialmente sens&#237;vel. No entanto, h&#225; raz&#227;o para faz&#234;-lo e ser&#225; importante inclusive para aqueles que n&#227;o desejam ter filhos, pois ser&#225; preciso haver jovens suficientes para financiar suas aposentadorias.</p><p></p><p>Em s&#237;ntese, defende-se que pol&#237;ticas de est&#237;mulo &#224; natalidade sejam discutidas no &#226;mbito tamb&#233;m das reformas no sistema de seguridade social. Essa discuss&#227;o precisa come&#231;ar globalmente.</p><p></p><p></p>]]></content:encoded></item><item><title><![CDATA[Por que o desafio demográfico é maior em países de renda média alta (como o Brasil) do que em países desenvolvidos?]]></title><description><![CDATA[E por que a import&#226;ncia de discutir pol&#237;ticas populacionais &#233; urgente em pa&#237;ses emergentes?]]></description><link>https://andresennaduarte.substack.com/p/por-que-o-desafio-demografico-e-maior</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/por-que-o-desafio-demografico-e-maior</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Mon, 24 Nov 2025 12:38:04 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!dCQn!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!dCQn!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!dCQn!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png 424w, /__u/substackcdn.com/image/fetch/$s_!dCQn!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!dCQn!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png" width="1357" height="767" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/e4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:767,&quot;width&quot;:1357,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:80755,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:true,&quot;internalRedirect&quot;:&quot;https://andresennaduarte.substack.com/i/179808268?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="/__u/substackcdn.com/image/fetch/$s_!dCQn!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png 1272w, /__u/substackcdn.com/image/fetch/$s_!dCQn!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe4858700-618b-4a62-986c-0e4ee8204d0c_1357x767.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Nos pa&#237;ses desenvolvidos, entre pol&#237;ticos e na pr&#243;pria sociedade civil como um todo, discute-se com frequ&#234;ncia pol&#237;ticas populacionais, isto &#233;, natalidade e imigra&#231;&#227;o. J&#225; nos pa&#237;ses de renda m&#233;dia, esse tipo de discuss&#227;o &#233; bastante limitada, com poucos pol&#237;ticos ou ve&#237;culos de comunica&#231;&#227;o tratando com frequ&#234;ncia do assunto, bem como dando a devido import&#226;ncia.</p><p>No entanto, o gr&#225;fico em destaque mostra que essa discuss&#227;o precisa come&#231;ar a ganhar tra&#231;&#227;o no mundo emergente. E por uma raz&#227;o simples: o quadro &#233; substancialmente pior em rela&#231;&#227;o aos pa&#237;ses desenvolvidos. A din&#226;mica demogr&#225;fica dos pa&#237;ses de renda m&#233;dia alta &#233; mais fr&#225;gil e o envelhecimento mais acelerado do que a dos pa&#237;ses ricos.</p><p>No gr&#225;fico, mostramos a rela&#231;&#227;o entre a taxa de fecundidade e a migra&#231;&#227;o l&#237;quida (isto &#233;, levando em considera&#231;&#227;o a entrada e sa&#237;da de residentes). Vale reparar que os pa&#237;ses de renda m&#233;dia alta (azul escuro) aparecem majoritariamente no quadrante em que a taxa de fecundidade est&#225; abaixo da necess&#225;ria para manter a popula&#231;&#227;o est&#225;vel <em>e</em>, ao mesmo tempo, apresentam migra&#231;&#227;o l&#237;quida negativa. Os pa&#237;ses desenvolvidos (vermelho), por sua vez, tamb&#233;m t&#234;m fecundidade abaixo da reposi&#231;&#227;o, mas compensam parte desse desequil&#237;brio atrav&#233;s de migra&#231;&#227;o positiva.</p><p>Em outras palavras, esses pa&#237;ses de renda m&#233;dia alta como o Brasil que ainda n&#227;o completaram sua trajet&#243;ria de desenvolvimento j&#225; convergiram para taxas de fecundidade semelhantes &#224;s dos pa&#237;ses ricos, mas continuam perdendo popula&#231;&#227;o para a imigra&#231;&#227;o. Essa dupla combina&#231;&#227;o tende a produzir um decl&#237;nio populacional mais r&#225;pido e mais profundo, especialmente em contextos onde faltam pol&#237;ticas p&#250;blicas adequadas.</p><p>Nesses pa&#237;ses, o debate populacional nas &#250;ltimas d&#233;cadas foi voltado principalmente ao controle de natalidade &#8212; isto &#233;, evitar um crescimento demogr&#225;fico considerado desordenado. Mas o quadro populacional mudou rapidamente, e em muitos casos mudou mais depressa do que nos pa&#237;ses desenvolvidos. A transi&#231;&#227;o demogr&#225;fica foi intensa, silenciosa e, em grande parte, ignorada pelo debate p&#250;blico.</p><p>Dessa forma, torna-se urgente come&#231;ar a adotar pol&#237;ticas p&#250;blicas que estimulem tanto a imigra&#231;&#227;o quanto o aumento da natalidade. A experi&#234;ncia dos pa&#237;ses desenvolvidos mostra que, enquanto &#233; mais simples ajustar pol&#237;ticas de imigra&#231;&#227;o quando desejado, elevar a natalidade tem se mostrado muito mais dif&#237;cil, mesmo onde h&#225; incentivos robustos. No caso dos pa&#237;ses emergentes, o desafio &#233; ainda maior pois, naturalmente, a possibilidade de atrair maiores contigentes de imigrantes tende a ser mais limitado dado a menor atratividade destes pa&#237;ses. </p><p>No caso brasileiro, precisamos iniciar uma discuss&#227;o p&#250;blica s&#233;ria a respeito do tema dado as in&#250;meras reverbera&#231;&#245;es sociais, como a economia e sustentabildiade do nosso generoso modelo de previd&#234;ncia. Como manter nossos jovens no pa&#237;s e atrair jovens do mundo inteiro? como abandonar a ret&#243;rica do planejamento familiar para efetivamente &#8220;mudar a chave&#8221; e falar abertamente em est&#237;mulos para aumentar a taxa de natalidade? </p><p>O tema demogr&#225;fico ser&#225; fundamental para o pa&#237;s nas pr&#243;ximas d&#233;cadas. </p>]]></content:encoded></item><item><title><![CDATA[A Demografia do Estado do Rio de Janeiro]]></title><description><![CDATA[R&#225;pido envelhecimento do estado coloca desafios de mudan&#231;as das pol&#237;ticas p&#250;blicas]]></description><link>https://andresennaduarte.substack.com/p/a-demografia-do-estado-do-rio-de</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/a-demografia-do-estado-do-rio-de</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Mon, 17 Nov 2025 11:45:33 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!xdZQ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffeda1e5c-8a88-4094-90fb-91740244c143_1036x577.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><p>Como se sabe, o Estado do Rio de Janeiro enfrenta diversos desafios, dentre os quais a seguran&#231;a p&#250;blica que tem destaque quase di&#225;rio no notici&#225;rio. No entanto, existem diversos outros desafios decorrentes de um Estado com dificuldades financeiras cada vez maiores.</p><p>Neste artigo, destacamos os desafios de repensar as pol&#237;ticas p&#250;blicas devido a r&#225;pida transi&#231;&#227;o demogr&#225;fica fluminense. </p><p>Podemos separar os grupos et&#225;rios da seguinte forma:</p><ul><li><p>0 a 13 anos: crian&#231;as cuja demanda &#233; sobretudo educacional.</p></li><li><p>14 a 17 anos: estudo e primeiros passos visando o mercado de trabalho.</p></li><li><p>18 a 24: jovens adultos ingressando em sua grande maioria no mercado de trabalho.</p></li><li><p>25 a 39: faixa &#8220;prime&#8221; do mercado de trabalho. Per&#237;odo de ascens&#227;o profissional.</p></li><li><p>40 a 59: outra faixa &#8220;prime&#8221; do mercado de trabalho, mas mais relacionada a estabilidade da produtividade. </p></li><li><p>60 e al&#233;m: sa&#237;da progressiva do mercado de trabalho e aumento da demanda por sa&#250;de. </p></li></ul><p>No gr&#225;fico abaixo, podemos ver a velocidade de mudan&#231;a no n&#250;mero de pessoas nessas categorias nos &#250;ltimos treze anos. As setas azuis indicam o crescimento da faixa et&#225;ria enquanto as setas vermelhas, indicam decl&#237;nio. </p><p>Nas extremidades, podemos ver grande crescimento do n&#250;mero de idosos, mais de 1,2 milh&#245;es em um per&#237;odo curto. Entre as crian&#231;as, decl&#237;nio de 479 mil. O n&#250;mero de idosos no per&#237;odo rapidamente superou o n&#250;mero de crian&#231;as. Como ilustra&#231;&#227;o, no gr&#225;fico sobre o Brasil, mostramos que o n&#250;mero de crian&#231;as no pa&#237;s ainda &#233; superior ao de idosos. </p><p>Al&#233;m disso, quando olhamos as duas faixas &#8220;prime&#8221; de idade que mais participam do mercado de trabalho, j&#225; observamos que a dos 25 a 39, j&#225; est&#225; em decl&#237;nio, com queda de 262 mil no per&#237;odo. A faixa de cima ainda se expande. Este comportamento &#233; mais acentuado do que no Brasil, que tem estas duas faixas se expandindo. </p><p>Por fim, observamos decl&#237;nio acentuado do n&#250;mero de jovens no estado, na faixa de 14 a 17 (218 mil) e na faixa de 18 a 24 (272 mil)</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!xdZQ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffeda1e5c-8a88-4094-90fb-91740244c143_1036x577.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!xdZQ!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7dd53f51-6703-4d47-aca6-b51260bea337_1033x622.png 1272w, /__u/substackcdn.com/image/fetch/$s_!B_9p!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7dd53f51-6703-4d47-aca6-b51260bea337_1033x622.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Como um todo, de acordo com o gr&#225;fico de pir&#226;mide abaixo, cuja fonte &#233; o censo de 2022,  o envelhecimento do Rio de Janeiro &#233; r&#225;pido, e vai se acentuar devido a baixa taxa de natalidade, como exemplificado pelo n&#250;mero de crian&#231;as menores de 5 anos como propor&#231;&#227;o da popula&#231;&#227;o. </p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!4oZR!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcff62d30-a72e-43c6-85b4-0a6c4ac0723e_1033x618.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!4oZR!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcff62d30-a72e-43c6-85b4-0a6c4ac0723e_1033x618.png 424w, /__u/substackcdn.com/image/fetch/$s_!4oZR!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcff62d30-a72e-43c6-85b4-0a6c4ac0723e_1033x618.png 848w, /__u/substackcdn.com/image/fetch/$s_!4oZR!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcff62d30-a72e-43c6-85b4-0a6c4ac0723e_1033x618.png 1272w, /__u/substackcdn.com/image/fetch/$s_!4oZR!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcff62d30-a72e-43c6-85b4-0a6c4ac0723e_1033x618.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>A din&#226;mica demogr&#225;fica do Estado do Rio de Janeiro mostra que a popula&#231;&#227;o est&#225; envelhecendo rapidamente. Depois de d&#233;cadas de crescimento, o n&#250;mero total de habitantes se estabilizou e deve come&#231;ar a diminuir nos pr&#243;ximos anos. Esse movimento traz uma s&#233;rie de desafios importantes para o poder p&#250;blico.</p><p></p><p><strong>Sa&#250;de: </strong>com mais idosos, a demanda por atendimento cont&#237;nuo cresce &#8212; especialmente para doen&#231;as cr&#244;nicas, reabilita&#231;&#227;o e cuidados domiciliares. O sistema de sa&#250;de ter&#225; de se adaptar para oferecer acompanhamento de longo prazo, e n&#227;o apenas atendimento de urg&#234;ncia. </p><p></p><p><strong>Cuidados de longa perman&#234;ncia: </strong>tamb&#233;m aumenta a necessidade de ILPIs e de alternativas como centros-dia, moradias assistidas e programas de apoio para quem cuida de familiares idosos. Essa rede ainda &#233; limitada e precisar&#225; ser ampliada e diversificada.</p><p></p><p><strong>Educa&#231;&#227;o:</strong> a queda acelerada no n&#250;mero de crian&#231;as e jovens impacta diretamente a rede escolar. Ser&#225; preciso reorganizar estruturas, mas isso tamb&#233;m abre espa&#231;o para melhorar a qualidade, investindo mais por aluno dados os m&#237;nimos constitucionais.</p><p></p><p><strong>Previd&#234;ncia:</strong> o envelhecimento da popula&#231;&#227;o e do quadro de servidores pressiona as contas p&#250;blicas. Uma previd&#234;ncia financeiramente sustent&#225;vel &#233; fundamental para liberar recursos para &#225;reas essenciais, como sa&#250;de e educa&#231;&#227;o.</p><p></p><p><strong>Mercado de trabalho: </strong>para manter a economia funcionando, ser&#225; cada vez mais importante incentivar que trabalhadores mais velhos permane&#231;am ativos. Isso envolve pol&#237;ticas de requalifica&#231;&#227;o, jornadas mais flex&#237;veis e combate ao preconceito et&#225;rio nas contrata&#231;&#245;es.</p><p></p><p><strong>Adapta&#231;&#227;o das cidades:</strong> o espa&#231;o urbano precisa acompanhar essa mudan&#231;a demogr&#225;fica. Cal&#231;adas regulares, acessibilidade, transporte e mobili&#225;rio urbano adequados fazem diferen&#231;a direta na autonomia das pessoas mais velhas.</p><p></p><p><strong>Seguran&#231;a p&#250;blica: </strong> os crimes contra idosos tem natureza diferente das demais faixas et&#225;rias. Golpes financeiros s&#227;o crimes t&#237;picos contra os idosos. </p><p></p><p><strong>Considera&#231;&#245;es finais</strong></p><p></p><p>A popula&#231;&#227;o em idade de trabalho no Rio de Janeiro est&#225; prestes a come&#231;ar a diminuir, o que representa um desafio importante para a sociedade. Uma popula&#231;&#227;o economicamente ativa menor ter&#225; de sustentar uma parcela cada vez maior de idosos, pressionando servi&#231;os p&#250;blicos e a capacidade de financiamento do Estado. Por isso, &#233; fundamental que o debate sobre a adapta&#231;&#227;o das pol&#237;ticas p&#250;blicas a essa nova realidade se intensifique o quanto antes, garantindo uma transi&#231;&#227;o mais suave e sustent&#225;vel para esse novo cen&#225;rio demogr&#225;fico.</p><p></p><p></p><p></p><p></p><p></p>]]></content:encoded></item><item><title><![CDATA[As Manifestações no México e o Crescimento da Direita na América Latina]]></title><description><![CDATA[Como a inabilidade dos partidos de esquerda na &#225;rea da seguran&#231;a p&#250;blica est&#225; criando um ambiente f&#233;rtil para o crescimento da direita]]></description><link>https://andresennaduarte.substack.com/p/as-manifestacoes-no-mexico-e-o-crescimento</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/as-manifestacoes-no-mexico-e-o-crescimento</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Sun, 16 Nov 2025 20:40:31 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!0_XX!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!0_XX!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!0_XX!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png 424w, /__u/substackcdn.com/image/fetch/$s_!0_XX!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png 848w, /__u/substackcdn.com/image/fetch/$s_!0_XX!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png 1272w, /__u/substackcdn.com/image/fetch/$s_!0_XX!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!0_XX!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png" width="1363" height="802" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png 424w, /__u/substackcdn.com/image/fetch/$s_!0_XX!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png 848w, /__u/substackcdn.com/image/fetch/$s_!0_XX!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png 1272w, /__u/substackcdn.com/image/fetch/$s_!0_XX!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F11926323-7186-45c6-9320-d813883d92bb_1363x802.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p>Neste final de semana, observamos manifesta&#231;&#245;es simult&#226;neas em diversas cidades do M&#233;xico, com alguns casos de viol&#234;ncia e vandalismo. O estopim das manifesta&#231;&#245;es foi o brutal assassinato de Carlos Alberto Manzo Rodr&#237;guez, prefeito de Uruapan, Michoac&#225;n, ocorrido durante as celebra&#231;&#245;es do Dia dos Mortos, em crime que chocou o pa&#237;s. </p><p>Manzo ficou conhecido por enfrentar diretamente os cart&#233;is locais e j&#225; havia sofrido diversas amea&#231;as destas organiza&#231;&#245;es criminosas. Por&#233;m, ele n&#227;o recebeu o apoio tanto estadual quanto federal. Seu assassinato &#233; apenas mais um das autoridades p&#250;blicas no M&#233;xico e &#233; mais um exemplo da  incapacidade do Estado de proteger at&#233; mesmo autoridades eleitas. </p><p>Este sentimento respingou no Executivo e no partido Morena do M&#233;xico, que h&#225; tempos &#233; acusado de neglig&#234;ncia na esfera p&#250;blica. Com este pano de fundo, a popula&#231;&#227;o no M&#233;xico foi as ruas, com o objetivo claro de se manifestar quanto ao quadro da seguran&#231;a p&#250;blica. Por enquanto, as manifesta&#231;&#245;es n&#227;o s&#227;o sobre assuntos difusos. &#201; apenas sobre seguran&#231;a p&#250;blica e algumas bandeiras anti-corrup&#231;&#227;o.  </p><p>Vale ressaltar que, neste momento, Claudia Sheinbaum &#233; a Presidente mais popular da hist&#243;ria do M&#233;xico. Pelo menos de acordo com as &#250;ltimas pesquisas. Ap&#243;s tamb&#233;m o popular governo de Andr&#233;s L&#243;pes Obrador, Sheinbaum foi vista como negoaciadora de sucesso contra a press&#227;o americana na esfera comercial, e aprofundou os programas sociais da aministra&#231;&#227;o de AMLO. Por isso, ainda &#233; cedo para sugerir quaisquer enfraquecimento da Presidente em decorr&#234;ncia do evento. </p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!7PVo!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F18693d8e-36ec-4780-8054-9a1e99626bf1_1301x838.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!7PVo!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F18693d8e-36ec-4780-8054-9a1e99626bf1_1301x838.png 424w, /__u/substackcdn.com/image/fetch/$s_!7PVo!, 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F83139cce-262a-4076-8611-123ef76d56ab_841x458.png 424w, /__u/substackcdn.com/image/fetch/$s_!_uua!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F83139cce-262a-4076-8611-123ef76d56ab_841x458.png 848w, /__u/substackcdn.com/image/fetch/$s_!_uua!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F83139cce-262a-4076-8611-123ef76d56ab_841x458.png 1272w, /__u/substackcdn.com/image/fetch/$s_!_uua!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F83139cce-262a-4076-8611-123ef76d56ab_841x458.png 1456w" sizes="100vw"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>As manifesta&#231;&#245;es at&#233; agora parecem mais direcionadas ao partido Morena do que propriamente a ela. Investiga&#231;&#245;es e reportagens vem relatando tens&#245;es internas e epis&#243;dios que questionam a integridade da pol&#237;tica de seguran&#231;a do partido. Um caso emblem&#225;tico foi o esc&#226;ndalo em Tabasco, onde um ex-secret&#225;rio de Seguran&#231;a foi acusado de v&#237;nculos com o crime organizado, abrindo fissuras no partido e alimentando suspeitas de que setores do Morena n&#227;o possuem a combatividade necess&#225;ria.</p><p>Al&#233;m disso, e de forma mais estrutural, o Morena repete um padr&#227;o da esquerda que est&#225; perdendo tra&#231;&#227;o no p&#250;blico geral: o assistencialismo. </p><p>Parte do entendimento da esquerda &#233; que a seguran&#231;a p&#250;blica &#233; um subptroduto da probreza, e n&#227;o um problema com certo grau de independ&#234;ncia. Neste caso, enquanto o atual governo mexicano tem uma clara agenda de assistencialismo e a Presidente realiza agenda quase di&#225;ria neste tema, o M&#233;xico carece de uma pol&#237;tica coerente de enfretamento ao crime organizado. A experi&#234;ncia da regi&#227;o tem mostrado que assistencialismo n&#227;o parece impactar a criminalidade. </p><p>J&#225; no governo AMLO, o Presidente decidiu dar um papel cada vez maior as for&#231;as armadas como uma forma de limitar o impacto no pa&#237;s do crime organizado. N&#227;o deu certo. Mas ao inv&#233;s de evoluir a agenda, o Morena simplesmente resolveu ocult&#225;-la. </p><p>As manifesta&#231;&#245;es de hoje foram amplamente apoiadas pelos partidos de centro e direita, PAN e PRI respectivamente. Sem uma bandeira desde a elei&#231;&#227;o, finalmente parecem ter encontrado o ponto fraco da esquerda no pa&#237;s. Esta mesma din&#226;mica est&#225; sendo observada em toda regi&#227;o, com destaques recentes para Brasil e as discuss&#245;es das elei&#231;&#245;es no Chile. </p><p>Seguran&#231;a p&#250;blica &#233; o assunto do momento na regi&#227;o. E nisso, a direita tem ampla vantagem. </p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!ThGM!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8a6d8f1-8441-4266-ada3-e2df28eb4fd6_818x487.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!ThGM!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8a6d8f1-8441-4266-ada3-e2df28eb4fd6_818x487.png 424w, /__u/substackcdn.com/image/fetch/$s_!ThGM!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8a6d8f1-8441-4266-ada3-e2df28eb4fd6_818x487.png 1272w, /__u/substackcdn.com/image/fetch/$s_!ThGM!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8a6d8f1-8441-4266-ada3-e2df28eb4fd6_818x487.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p>]]></content:encoded></item><item><title><![CDATA[Investir no Brasil ou nos EUA? O que os últimos 20 anos nos ensinam]]></title><description><![CDATA[Os benef&#237;cios de investir fora v&#227;o muito al&#233;m de um retorno potencialmente mais alto]]></description><link>https://andresennaduarte.substack.com/p/investir-no-brasil-ou-nos-eua-o-que</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/investir-no-brasil-ou-nos-eua-o-que</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Mon, 10 Nov 2025 12:05:35 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!07RT!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5fb42378-bdaf-4c25-953b-4707d616fb0c_1382x796.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!07RT!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5fb42378-bdaf-4c25-953b-4707d616fb0c_1382x796.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!07RT!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5fb42378-bdaf-4c25-953b-4707d616fb0c_1382x796.png 424w, /__u/substackcdn.com/image/fetch/$s_!07RT!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5fb42378-bdaf-4c25-953b-4707d616fb0c_1382x796.png 1272w, /__u/substackcdn.com/image/fetch/$s_!07RT!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5fb42378-bdaf-4c25-953b-4707d616fb0c_1382x796.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Nos &#250;ltimos anos, o n&#250;mero de brasileiros investindo em a&#231;&#245;es cresceu de forma expressiva. Mas h&#225; um dado interessante por tr&#225;s dessa tend&#234;ncia: uma parcela crescente desses investidores est&#225; preferindo investir em a&#231;&#245;es no exterior, ao inv&#233;s de buscar oportunidades na bolsa local.</p><p>Essa mudan&#231;a de comportamento tem explica&#231;&#245;es claras. Por muito tempo, investir fora do Brasil era algo restrito a poucos &#8212; demandava abrir conta em corretoras internacionais, lidar com c&#226;mbio e navegar por uma burocracia desestimulante.</p><p>Hoje, no entanto, o cen&#225;rio &#233; completamente diferente. Com a cria&#231;&#227;o de instrumentos como o IVVB11, ficou f&#225;cil ter exposi&#231;&#227;o ao S&amp;P 500 e, ao mesmo tempo, ao d&#243;lar, com a simplicidade de comprar um ETF na B3, com um custo extremamente baixo. Por outro lado, empresas como a Avenue, C6 e Nomad, cujo foco &#233; o investimento internacional, tornaram o investimento no exterior uma experi&#234;ncia simples que traz um n&#250;mero enorme de op&#231;&#245;es ao investidor. Nesta esteira, uma s&#233;rie de bancos locais est&#227;o tamb&#233;m facilitando o investimento internacional. <br><br>Em resumo: investir fora do Brasil ficou muito mais f&#225;cil. N&#227;o &#233; nem mais necess&#225;rio tirar os recursos do pa&#237;s para se expor a ativos externos.</p><p>Diante dessa evolu&#231;&#227;o, resolvemos nos fazer uma pergunta simples - mas fundamental: essa pr&#225;tica faz sentido na &#243;tica das finan&#231;as?<br>E, olhando para tr&#225;s, teria sido melhor investir em a&#231;&#245;es no Brasil ou nos Estados Unidos?</p><p>Para responder, constru&#237;mos uma simula&#231;&#227;o comparando duas carteiras representativas:</p><p></p><ul><li><p>A primeira, composta por t&#237;tulos p&#250;blicos brasileiros indexados &#224; infla&#231;&#227;o (NTN-Bs) e pela bolsa local (IBOV).<br><br></p></li><li><p>A segunda, com a mesma base de renda fixa brasileira, mas substituindo a bolsa local pelo S&amp;P 500.<br><br></p></li></ul><p>A ideia foi adicionar o efeito da diversifica&#231;&#227;o internacional e avaliar como o investidor brasileiro teria se sa&#237;do ao longo dos &#250;ltimos 20 anos.</p><p>Os resultados est&#227;o nos gr&#225;ficos abaixo acima &#8212; e trazem algumas li&#231;&#245;es valiosas.</p><p>A primeira &#233; intuitiva: o S&amp;P 500 em d&#243;lar teve desempenho superior &#224; bolsa brasileira no mesmo per&#237;odo. Parte disso se explica pela for&#231;a das empresas americanas, parte pela estabilidade institucional e monet&#225;ria dos EUA. Mas outro fator importante foi a desvaloriza&#231;&#227;o do real ao longo do tempo, que acabou amplificando os ganhos para quem estava exposto ao d&#243;lar.</p><p>A segunda observa&#231;&#227;o &#233; que, nesse mesmo per&#237;odo, a renda fixa brasileira rendeu mais que a pr&#243;pria bolsa local e com menor volatilidade. Trata-se de uma anomalia presente no mercado financeiro brasileiro, em v&#225;rias janelas, que a teoria tem dificuldade de explicar. Al&#233;m disso, a correla&#231;&#227;o mais alta entre bolsa e renda fixa no Brasil diminui as vantagens da diversifica&#231;&#227;o.</p><p>Por outro lado, quando adicionamos um pequeno componente de bolsa americana &#224; renda fixa local, o gr&#225;fico nos mostra outra realidade: a volatilidade da carteira diminui e o retorno esperado melhora. Em outras palavras, adicionar uma fatia de a&#231;&#245;es globais a um portf&#243;lio tradicional brasileiro melhora a rela&#231;&#227;o risco-retorno.</p><p>Nesta dire&#231;&#227;o, destaca-se no gr&#225;fico que uma carteira com 20% de S&amp;P e 80% de IMAB teve melhor retorno e menor risco que uma carteira com 100% de IMAB. Em outras palavras, adicionar um pouco de bolsa americana reduziu o risco de uma carteira, j&#225; conservadora de renda fixa no Brasil.</p><p>Esse &#233; o tipo de achado que parece &#243;bvio &#224; primeira vista, mas que os dados confirmam de forma inequ&#237;voca: investir parte do patrim&#244;nio fora do Brasil foi uma excelente decis&#227;o nas &#250;ltimas duas d&#233;cadas, tanto pelo melhor retorno, mas tamb&#233;m, pela redu&#231;&#227;o do risco da carteira quando feito com parcim&#244;nia.</p><p></p><p><strong>Daqui para frente</strong></p><p></p><p>Mas a pergunta que realmente importa &#233;: ser&#225; que os pr&#243;ximos 20 anos ser&#227;o parecidos?</p><p>Hoje, os m&#250;ltiplos da bolsa americana est&#227;o entre os mais altos do mundo, enquanto diversas outras bolsas &#8212; com destaque para a brasileira &#8212; est&#227;o mais baratas em termos hist&#243;ricos. Esse tipo de diverg&#234;ncia j&#225; ocorreu antes, e em geral foi seguida por retornos mais modestos para os mercados que estavam &#8220;caros&#8221; demais.</p><p>Isso n&#227;o significa que o investidor deva abandonar os EUA &#8212; muito pelo contr&#225;rio. Significa apenas que a diversifica&#231;&#227;o precisa ir al&#233;m do bin&#225;rio Brasil x Estados Unidos e deve ser visto tamb&#233;m na l&#243;gica de redu&#231;&#227;o do risco da carteira.</p><p>Em um mundo cada vez mais conectado e com oportunidades surgindo em diferentes geografias, ter uma carteira verdadeiramente global pode ser mais importante do que nunca.</p><p>Em suma: o passado mostra que investir al&#233;m do Brasil pode ser um bom neg&#243;cio. Mas o futuro pode recompensar quem souber ir mais longe &#8212; diversificando n&#227;o s&#243; em moedas e pa&#237;ses, mas tamb&#233;m em ideias e estrat&#233;gias.</p>]]></content:encoded></item><item><title><![CDATA[Assessoria Financeira por Comissão ou Honorários?]]></title><description><![CDATA[O que a experi&#234;ncia internacional sugere sobre os modelos de alinhamento entre assessor e investidor.]]></description><link>https://andresennaduarte.substack.com/p/assessoria-financeira-por-comissao</link><guid isPermaLink="false">https://andresennaduarte.substack.com/p/assessoria-financeira-por-comissao</guid><dc:creator><![CDATA[Andre Senna Duarte]]></dc:creator><pubDate>Fri, 10 Oct 2025 17:07:37 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!clEc!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7e0a235-0633-4f73-8e2a-692960568284_1212x738.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!clEc!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7e0a235-0633-4f73-8e2a-692960568284_1212x738.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!clEc!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd7e0a235-0633-4f73-8e2a-692960568284_1212x738.png 424w, /__u/substackcdn.com/image/fetch/$s_!clEc!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, 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xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><h1><strong>Introdu&#231;&#227;o</strong></h1><p></p><p>Em um mundo cada vez mais complexo &#8212; n&#227;o apenas pelo cen&#225;rio econ&#244;mico, mas tamb&#233;m pela multiplicidade de produtos financeiros &#8212;, investidores recorrem com frequ&#234;ncia a assessores para orient&#225;-los em suas decis&#245;es de investimento. Os assessores (e consultores) realizam um papel fundamental para traduzir a complexidade do mercado em estrat&#233;gias compreens&#237;veis, ajudar na constru&#231;&#227;o de portf&#243;lios adequados ao perfil de risco do investidor e atuar como ponte entre o conhecimento t&#233;cnico e os objetivos pessoais de cada cliente.</p><p></p><p>No entanto, o modelo de remunera&#231;&#227;o desses profissionais, assunto muitas vezes negligenciado pelos pr&#243;prios investidores, pode ter papel determinante no desempenho das carteiras ao longo do tempo.</p><p></p><p>Os dois principais modelos utilizados s&#227;o a remunera&#231;&#227;o por comiss&#227;o e por honor&#225;rios fixos. Na remunera&#231;&#227;o por comiss&#227;o (<em>comission based</em>), o assessor &#233; remunerado na venda do produto &#8211; isto &#233;, toda vez que o cliente realiza uma opera&#231;&#227;o como a compra de um fundo, o assessor &#233; em regra remunerado. Neste modelo, em geral, o cliente n&#227;o consegue inferir quanto o assessor est&#225; recebendo. Por sua vez, no modelo por honor&#225;rio (<em>fee only or based</em>) o investidor remunera o assessor atrav&#233;s de um valor pr&#233;-determinado.</p><p></p><p>A discuss&#227;o quanto ao melhor modelo de remunera&#231;&#227;o tomou for&#231;a no Brasil nos &#250;ltimos anos dado o desempenho do modelo de remunera&#231;&#227;o por comiss&#227;o e eventos de produtos espec&#237;ficos como os COEs, suscitando um debate mais amplo sobre o modelo e levando a ado&#231;&#227;o ainda em estagio inicial do modelo de honor&#225;rio.</p><p></p><p>Desta forma, este ensaio busca mostrar o desempenho relativo dos modelos de remunera&#231;&#227;o de acordo com a literatura internacional do assunto.</p><p></p><p><strong>Compara&#231;&#227;o Entre os Dois Modelos</strong></p><p></p><p>Na assessoria comissionada, o assessor &#233; remunerado por comiss&#245;es provenientes de produtos financeiros vendidos ao cliente ou pela intermedia&#231;&#227;o de transa&#231;&#245;es. Essas comiss&#245;es podem vir na forma de corretagem quando adquirem a&#231;&#245;es ou outro valor mobili&#225;rio, em remunera&#231;&#227;o direta quando realizada a venda de um t&#237;tulo de renda fixa ou retrocess&#245;es (rebate) pagas por gestoras de fundos e seguradores quando o assessor indica estes produtos. O custo da remunera&#231;&#227;o &#233;, na maioria dos casos, invis&#237;vel para o inventor, que pode ter a impress&#227;o de &#8220;investir de gra&#231;a&#8221;.</p><p></p><p>A principal cr&#237;tica a esse modelo est&#225; no potencial conflito de interesses que ele gera. Estruturas de remunera&#231;&#227;o baseadas em comiss&#227;o podem incentivar o assessor a estimular opera&#231;&#245;es desnecess&#225;rias, promovendo o chamado giro de carteira para ampliar seus ganhos. Da mesma forma, fundos que oferecem maiores retrocess&#245;es tendem a ser priorizados, mesmo quando h&#225; alternativas mais vantajosas para o cliente. Em alguns casos, t&#237;tulos de cr&#233;dito de qualidade duvidosa ou produtos il&#237;quidos e excessivamente complexos s&#227;o direcionados ao investidor de varejo por proporcionarem margens mais elevadas aos distribuidores. Esse desalinhamento entre o interesse do assessor e o do investidor est&#225; na origem de diversas reformas regulat&#243;rias internacionais, que buscaram reduzir incentivos distorcidos e refor&#231;ar a prote&#231;&#227;o ao cliente &#8212; tema que ser&#225; explorado mais adiante.</p><p></p><p>Por sua vez, na assessoria por honor&#225;rios, o assessor &#233; pago diretamente pelo cliente atrav&#233;s de uma taxa fixa peri&#243;dica (uma esp&#233;cie de assinatura), uma tarifa hor&#225;ria (similar a uma consulta m&#233;dica) ou um percentual do patrim&#244;nio sob consultoria/gest&#227;o. Crucialmente, o consultor n&#227;o recebe comiss&#227;o de terceiros. Assim, ele atua como um fiduci&#225;rio do cliente, devendo sempre recomendar o que for mais adequado, j&#225; que seus rendimentos dependem apenas das taxas pagas pelo cliente e tendem a crescer apenas se o patrim&#244;nio do cliente crescer.</p><p></p><p>Esse modelo remove o incentivo para compras e vendas excessivas, afasta produtos caros, alinhando melhor as motiva&#231;&#245;es do assessor com os objetivos de longo prazo do investidor. Apesar das vantagens, como h&#225; maior transpar&#234;ncia quanto ao que &#233; pago pelo investidor ao assessor, muitas vezes o cliente &#233; resistente a realizar a mudan&#231;a em compara&#231;&#227;o a um modelo no qual n&#227;o observa diretamente os custos.</p><p></p><p><strong>Literatura com rela&#231;&#227;o ao servi&#231;o por comiss&#227;o</strong></p><p></p><p>Uma s&#233;rie de estudos acad&#234;micos, de &#243;rg&#227;os regulat&#243;rios e de defesa ao consumidor colocam em xeque os benef&#237;cios para os investidores da assessoria atrav&#233;s de comiss&#245;es. Vejamos os principais artigos sobre o assunto.</p><p></p><p>Um primeiro artigo que aborda o problema, Bergstresser, Chalmers &amp; Tufano (2009), utilizando uma base de dados que distingue fundos que s&#227;o vendidos por assessores (com comiss&#227;o) e fundos vendidos diretamente, os autores n&#227;o encontraram diferen&#231;a estatisticamente relevante entre ambos. Este artigo sugere que n&#227;o h&#225; expertise na m&#233;dia por parte dos assessores na escolha dos fundos.</p><p></p><p>Hackethal, Haliassos &amp; Jappelli (2012) analisam dados de duas institui&#231;&#245;es financeiras alem&#227;s e comparam o desempenho de contas com consultor financeiro (em grande maioria comissionados) com contas geridas pelos pr&#243;prios investidores. Os autores encontraram que as contas assessoradas obtiveram retornos m&#233;dios l&#237;quidos de custos inferiores e com piores &#237;ndices de <em>sharpe</em> (retorno ajustado pelo risco) em compara&#231;&#227;o com as contas sem consultor.</p><p></p><p>A diferen&#231;a negativa de performance foi atribu&#237;da em parte ao maior giro da carteira, sugerindo que os assessores que tinham as comiss&#245;es de corretagem como principal fonte de renda estavam estimulado seus clientes a operarem mais. Esses resultados levaram os autores a caracterizar alguns consultores como &#8220;bab&#225;s financeiras caras&#8221; &#8211; o investidor paga pela m&#227;o segurando, mas n&#227;o obt&#233;m melhoria de performance correspondente<strong>. </strong>Uma das hip&#243;teses levantadas &#233; que o investidor que usa assessores neste modelo pode ser beneficiar de forma n&#227;o financeira da rela&#231;&#227;o.</p><p></p><p>Em outro artigo que discute o desempenho dos assessores comssionados, Foerster, Linnainmaa, Melzer &amp; Previtero (2017) analisaram microdados de milhares de investidores no Canad&#225; e seus assessores financeiros. Os pesquisadores descobriram que, ap&#243;s, contabilizar taxas e custos, os clientes obtinham um retorno significativamente menor do que poderiam obter em alternativas passivas de investimento. Esta &#8220;perda de alfa&#8221; encontrada foi em torno de 2-3% pontos ao ano, o que basicamente consumia, segundo os autores, o pr&#234;mio de renda vari&#225;vel dos clientes no Canad&#225;. Verificou-se tamb&#233;m que os clientes n&#227;o estavam cientes dos custos.</p><p></p><p>Ainda, observou-se que as carteiras pessoais dos assessores eram bastante semelhantes &#224;s de seus pr&#243;prios clientes, sugerindo uma forte replica&#231;&#227;o de prefer&#234;ncias individuais. Em outras palavras, os assessores tendiam a recomendar aquilo em que eles mesmos investiam, atribuindo pouca relev&#226;ncia &#224;s diferen&#231;as de idade, renda ou objetivos financeiros de cada investidor. O resultado era uma abordagem padronizada e pouco personalizada, em que grande parte dos clientes acabava recebendo estruturas de portf&#243;lio praticamente id&#234;nticas, independentemente de seu perfil ou horizonte de investimento.</p><p></p><p><strong>O caso a favor do banimento legal das comiss&#245;es em servi&#231;os financeiros</strong></p><p></p><p>Em 2018, o Escrit&#243;rio Europeu das Uni&#245;es de Consumidores (EEUC), &#243;rg&#227;o que representa grupos de consumidores na Uni&#227;o Europeia, publicou um documento defendendo o banimento das comiss&#245;es na venda de produtos financeiros. O organismo lista mais de quarenta esc&#226;ndalos em quinze pa&#237;ses diferentes sobre a venda de produtos comissionados, argumentando que este modelo de aconselhamento leva a decis&#245;es de investimento desfavor&#225;veis para o p&#250;blico. A imagem abaixo foi retirada do documento, ilustrado como o Escrit&#243;rio entende a rela&#231;&#227;o.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!M1eB!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4b200817-484e-4f91-adfc-fab6b822b44f_554x359.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!M1eB!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4b200817-484e-4f91-adfc-fab6b822b44f_554x359.png 424w, /__u/substackcdn.com/image/fetch/$s_!M1eB!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4b200817-484e-4f91-adfc-fab6b822b44f_554x359.png 848w, /__u/substackcdn.com/image/fetch/$s_!M1eB!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4b200817-484e-4f91-adfc-fab6b822b44f_554x359.png 1272w, /__u/substackcdn.com/image/fetch/$s_!M1eB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4b200817-484e-4f91-adfc-fab6b822b44f_554x359.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!M1eB!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4b200817-484e-4f91-adfc-fab6b822b44f_554x359.png" width="554" height="359" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4b200817-484e-4f91-adfc-fab6b822b44f_554x359.png 1272w, /__u/substackcdn.com/image/fetch/$s_!M1eB!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4b200817-484e-4f91-adfc-fab6b822b44f_554x359.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p></p><p>O argumento central do documento &#233; a assimetria de informa&#231;&#227;o entre o cliente e o assessor, algo que o texto argumenta citando outras pesquisas que mostram o baixo grau de conhecimento o sobre os servi&#231;os prestados pelos assessores e a forma que s&#227;o remunerados. O cliente tem in&#250;meras escolhas em termos de produtos de investimento, seguro de vida e previd&#234;ncia. O Assessor tem mais conhecimento em regra, mas ao mesmo tempo tem incentivos de vender produtos que s&#227;o mais vantajosos para ele do que para o cliente. Abaixo, uma pesquisa realizada na Irlanda que mostra o desconhecimento do p&#250;blico sobre os custos deste modelo.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!WUAs!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fae2d12dd-3ca1-4fb5-a801-5961805ad22c_795x361.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!WUAs!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fae2d12dd-3ca1-4fb5-a801-5961805ad22c_795x361.png 424w, /__u/substackcdn.com/image/fetch/$s_!WUAs!, 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fae2d12dd-3ca1-4fb5-a801-5961805ad22c_795x361.png 1272w, /__u/substackcdn.com/image/fetch/$s_!WUAs!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fae2d12dd-3ca1-4fb5-a801-5961805ad22c_795x361.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Neste modelo com assimetria de informa&#231;&#227;o, h&#225; um desalinhamento de incentivos entre o principal (o cliente-investidor) e o agente (o assessor). O modelo por honor&#225;rios fixos puro reduz em parte o problema da assimetria de informa&#231;&#227;o ao deixar claro a remunera&#231;&#227;o e, principalmente, cria um melhor alinhamento entre assessor e cliente, reduzindo os custos de monitoramento e aumentando a confian&#231;a entre as partes.</p><p></p><p>O artigo da EEUC enfatiza que nos mercados dominados por assessores baseado em comiss&#227;o, o desenvolvimento de produtos de baixo custo que n&#227;o pagam comiss&#227;o fica prejudicado. Assim, ETFs que em geral s&#227;o uma excelente alternativa de investimento tendem a n&#227;o serem recomendados por estes assessores. Por exemplo, um ETF de baixo custo que segue o &#237;ndice acion&#225;rio S&amp;P 500, tem melhor performance nos &#250;ltimos 20 anos que 98% dos fundos de a&#231;&#245;es nos EUA. Este resultado &#233; relativamente consistente em diversos pa&#237;ses segundo a S&amp;P Global.</p><p></p><p>Nesta dire&#231;&#227;o, o report cita evid&#234;ncias da Uni&#227;o Europeia e mais especificamente da Fran&#231;a indicando que o p&#250;blico no varejo recebe raramente recomenda&#231;&#245;es de seus assessores para adquirir ETFs. Al&#233;m disso, tamb&#233;m cita o banimento da assessoria por comiss&#227;o que entrou em vigor no primeiro dia de 2013 no Reino Unido. Neste caso, h&#225; evid&#234;ncias que com o banimento, houve importante mudan&#231;a de composi&#231;&#227;o do mercado, com forte crescimento do mercado de ETF, algo que n&#227;o aconteceu na Uni&#227;o Europeia naquele momento. O mesmo fen&#244;meno ocorreu na Holanda que implementou similar proibi&#231;&#227;o em 2013.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!kMm2!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!kMm2!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png 424w, /__u/substackcdn.com/image/fetch/$s_!kMm2!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png 848w, /__u/substackcdn.com/image/fetch/$s_!kMm2!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png 1272w, /__u/substackcdn.com/image/fetch/$s_!kMm2!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!kMm2!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png" width="744" height="442" 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/__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png 424w, /__u/substackcdn.com/image/fetch/$s_!kMm2!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png 848w, /__u/substackcdn.com/image/fetch/$s_!kMm2!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png 1272w, /__u/substackcdn.com/image/fetch/$s_!kMm2!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F011d74b9-a55e-46f3-944f-9d6103ad8036_744x442.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Ainda na Inglaterra, com o banimento das comiss&#245;es, tamb&#233;m foi poss&#237;vel observar o decl&#237;nio da venda de t&#237;tulos de d&#237;vida para o varejo. Este segmento possu&#237;a comiss&#245;es elevadas e teve seu volume reduzido &#224; metade ap&#243;s o banimento.</p><p></p><p>Ainda, destaca-se que a Austr&#225;lia tamb&#233;m baniu o comissionamento com vig&#234;ncia tamb&#233;m em 2013, ap&#243;s uma s&#233;rie de esc&#226;ndalos. Neste caso n&#227;o ocorreu apenas o banimento do comissionamento do assessor, mas tamb&#233;m as comiss&#245;es das pr&#243;prias plataformas. Al&#233;m disso, toda a remunera&#231;&#227;o do assessor precisou de aceita&#231;&#227;o expl&#237;cita e peri&#243;dica (de dois em dois anos).</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!-472!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77a30fe6-ea4d-4614-ba2e-1ee6dc35c5ea_780x447.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!-472!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77a30fe6-ea4d-4614-ba2e-1ee6dc35c5ea_780x447.png 424w, 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/__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77a30fe6-ea4d-4614-ba2e-1ee6dc35c5ea_780x447.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!-472!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77a30fe6-ea4d-4614-ba2e-1ee6dc35c5ea_780x447.png" width="780" height="447" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77a30fe6-ea4d-4614-ba2e-1ee6dc35c5ea_780x447.png 1272w, /__u/substackcdn.com/image/fetch/$s_!-472!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F77a30fe6-ea4d-4614-ba2e-1ee6dc35c5ea_780x447.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>No caso da Austr&#225;lia, observou-se uma reorganiza&#231;&#227;o da &#225;rea de assessoria. Em relat&#243;rio de an&#225;lise do governo dez anos ap&#243;s a reforma, houve o entendimento que a reforma gerou menos conflitos de interesse, maior transpar&#234;ncia e mais profissionaliza&#231;&#227;o.</p><p></p><p>Em termos de impactos no mercado como um todo, observou-se como no Reino Unido, importante crescimento das solu&#231;&#245;es passivas como ETFs e press&#227;o para baixo no custo dos fundos.</p><p></p><p>No entanto, pelo lado negativo, o relat&#243;rio cita que houve encarecimento do servi&#231;o e queda na cobertura (o chamado <em>advice gap</em>). Este &#233; um contra-argumento com rela&#231;&#227;o ao pior desempenho do modelo a base de comiss&#227;o. Para resolver esta quest&#227;o que afeta os investidores com menos patrim&#244;nio, o governo sugeriu a ado&#231;&#227;o de um modelo mais h&#237;brido para estes, bem como solu&#231;&#245;es digitais. Al&#233;m disso, para reduzir custos, sugere menos regula&#231;&#227;o e controle sobre o conte&#250;do produzidos pelos assessores, que no pa&#237;s &#233; altamente regulado e padronizado.</p><p></p><p><strong>Modelo por Honor&#225;rio Fixo</strong></p><p></p><p>Existem poucos artigos com uma compara&#231;&#227;o com micro dados dos dois modelos, Provavelmente como consequ&#234;ncia da falta de disponibiliza&#231;&#227;o de dados. No entanto, podemos destacar Meyer, Uhr, Loos &amp; Hackethal (2023).</p><p></p><p>O estudo em quest&#227;o acompanhou clientes de um banco online que migraram de um modelo tradicional baseado em comiss&#245;es para um modelo de honor&#225;rio fixo sobre o valor da carteira em fundos m&#250;tuos, mantendo o mesmo consultor e o mesmo servi&#231;o, entre 2009 e 2015. Essa configura&#231;&#227;o permitiu isolar o efeito puro do incentivo financeiro. Utilizando a metodologia de diferen&#231;a-em-diferen&#231;as com 699 investidores que mudaram de modelo, os autores constataram que os clientes que mudaram o modelo apresentaram melhor desempenho l&#237;quido, maior diversifica&#231;&#227;o e portf&#243;lios mais eficientes em compara&#231;&#227;o aos que permaneceram no modelo comissionado.</p><p></p><p>Al&#233;m do ganho financeiro, o estudo identificou mudan&#231;as comportamentais relevantes. Os investidores sob o regime de honor&#225;rios passaram a buscar mais aconselhamento, seguir com maior frequ&#234;ncia as recomenda&#231;&#245;es (38% mais sujeitos a seguirem as recomenda&#231;&#245;es) e demonstrar maior confian&#231;a em seus assessores, j&#225; que sabiam que as recomenda&#231;&#245;es n&#227;o estavam ligadas a comiss&#245;es espec&#237;ficas. Os clientes que migraram passaram a ter um percentual de fundos m&#250;tuos na carteira 18% maior. Utilizando uma janela de trinta e seis meses e depois, os autores encontraram um aumento do alfa de 1,74% a.a..</p><p></p><p>Em entrevistas, esses clientes tamb&#233;m avaliaram a qualidade do aconselhamento como mais imparcial e profissional, o que os levou a investir com mais seguran&#231;a em produtos antes considerados complexos ou arriscados.</p><p></p><p>O artigo conclui que a mudan&#231;a de modelo pode aumentar de forma importante a efici&#234;ncias das carteiras. E ainda, sugere que adotar esta regra como regulamenta&#231;&#227;o a n&#237;vel nacional pode ter efeitos positivos para toda a economia.</p><p></p><p>Por fim, duas ressalta quanto ao artigo: a migra&#231;&#227;o de modelo n&#227;o &#233; aleat&#243;ria, o que impede an&#225;lises de bem-estar baseadas em migra&#231;&#227;o compuls&#243;ria (via legisla&#231;&#227;o por exemplo) dos clientes para o modelo por honor&#225;rio. Outro elemento &#233; que a remunera&#231;&#227;o dos assessores na Alemanha, por uma quest&#227;o sindical, tem um percentual baixo da parcela vari&#225;vel com rela&#231;&#227;o ao todo.</p><p></p><p>Abaixo, a figura mostra sete vari&#225;veis para os dois grupos doze meses antes e depois da mudan&#231;a. A linha tracejada mostra os clientes que mudaram de modelo.</p><p></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="/__u/substackcdn.com/image/fetch/$s_!zz4p!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d80fe10-c4c3-419e-84ac-57aa23d2b18c_713x551.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="/__u/substackcdn.com/image/fetch/$s_!zz4p!, /__u/andresennaduarte.substack.com/w_424, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d80fe10-c4c3-419e-84ac-57aa23d2b18c_713x551.png 424w, /__u/substackcdn.com/image/fetch/$s_!zz4p!, /__u/andresennaduarte.substack.com/w_848, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d80fe10-c4c3-419e-84ac-57aa23d2b18c_713x551.png 848w, /__u/substackcdn.com/image/fetch/$s_!zz4p!, /__u/andresennaduarte.substack.com/w_1272, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d80fe10-c4c3-419e-84ac-57aa23d2b18c_713x551.png 1272w, /__u/substackcdn.com/image/fetch/$s_!zz4p!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_webp, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d80fe10-c4c3-419e-84ac-57aa23d2b18c_713x551.png 1456w" sizes="100vw"><img src="/__u/substackcdn.com/image/fetch/$s_!zz4p!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d80fe10-c4c3-419e-84ac-57aa23d2b18c_713x551.png" width="713" height="551" 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/__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d80fe10-c4c3-419e-84ac-57aa23d2b18c_713x551.png 1272w, /__u/substackcdn.com/image/fetch/$s_!zz4p!, /__u/andresennaduarte.substack.com/w_1456, /__u/andresennaduarte.substack.com/c_limit, /__u/andresennaduarte.substack.com/f_auto, /__u/andresennaduarte.substack.com/q_auto:good, /__u/andresennaduarte.substack.com/fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7d80fe10-c4c3-419e-84ac-57aa23d2b18c_713x551.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg aria-hidden="true" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" 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y2="14"></line></svg></button></div></div></div></a></figure></div><p></p><p>Um &#250;ltimo artigo em destaque &#233; Sebastian, S., Noth, L., &amp; Grafe, A. (2022), que usa dados agregados por pa&#237;s. O artigo realiza uma compara&#231;&#227;o de performance nos pa&#237;ses da OECD, uma vez que Dinamarca, Finl&#226;ndia, Reino Unido, Noruega e Nova Zelandia implementaram banimento em comiss&#245;es. Foram utilizados dados anuais da OCDE de 1996 a 2020 para todos os pa&#237;ses dispon&#237;veis. Por meio da aplica&#231;&#227;o de um modelo de efeitos fixos em duas dimens&#245;es (pa&#237;s e tempo), os autores buscaram controlar as especificidades de cada pa&#237;s e de cada per&#237;odo, isolando o impacto das proibi&#231;&#245;es de comiss&#227;o. A vari&#225;vel independente foi o retorno da taxa de riqueza das fam&#237;lias. A amostra totaliza 568 observa&#231;&#245;es em painel desbalanceado de 38 pa&#237;ses.</p><p></p><p>Os autores chegaram a conclus&#227;o que a proibi&#231;&#227;o levou a um aumento da taxa de retorno anual de 1,5-2,0% ao ano, o que em um per&#237;odo de quarenta anos significa aproximadamente o dobro de acumula&#231;&#227;o de riqueza.</p><p></p><p><strong>Considera&#231;&#245;es Finais</strong></p><p></p><p>A literatura emp&#237;rica vem mostrando maior retic&#234;ncia sobre os benef&#237;cios do modelo de comiss&#227;o em estudos realizados em diversos pa&#237;ses. Estes resultados e a pr&#243;pria din&#226;mica do mercado de assessoria/consultoria tem impulsionado o crescimento do modelo baseado em honor&#225;rios, mesmo em mercados no qual n&#227;o h&#225; obrigatoriedade.</p><p></p><p>Nos Estados Unidos, o mercado de assessoria financeira oferece um exemplo dessa transi&#231;&#227;o gradual. Tradicionalmente dominado por corretoras e assessores comissionados, o setor passou a conviver com o avan&#231;o dos Registered Investment Advisers (RIAs), profissionais e firmas que atuam sob um regime de honor&#225;rios diretos e dever fiduci&#225;rio (o que &#233; melhor para o cliente ao inv&#233;s de apenas o que &#233; adequado para o cliente). O equivalente aos RIAs no Brasil s&#227;o os consultores registrados na CVM, embora haja diferen&#231;as importantes na regula&#231;&#227;o.</p><p></p><p>A partir da d&#233;cada de 2010, especialmente ap&#243;s o fortalecimento das regras da SEC e a implementa&#231;&#227;o do Regulation Best Interest, houve um movimento estrutural em dire&#231;&#227;o a modelos baseados em honor&#225;rios (puros ou parciais), impulsionado pela demanda dos investidores por transpar&#234;ncia e alinhamento de incentivos. Atualmente, mais de 60% dos ativos sob gest&#227;o no pa&#237;s j&#225; est&#227;o sob o modelo de honor&#225;rios, e o n&#250;mero de RIAs cresce de forma consistente, enquanto os modelos puramente comissionados perdem espa&#231;o.</p><p></p><p>Esse avan&#231;o, no entanto, n&#227;o decorre de uma imposi&#231;&#227;o regulat&#243;ria absoluta, mas de uma mudan&#231;a comportamental e competitiva no mercado americano. Gestoras e plataformas perceberam que investidores tendem a valorizar rela&#231;&#245;es de longo prazo com profissionais remunerados de forma previs&#237;vel e imparcial, especialmente ap&#243;s crises que abalaram a confian&#231;a em produtos de venda incentivada. Estudos recentes mostram que os clientes de RIAs mant&#234;m carteiras mais diversificadas e de menor custo, al&#233;m de apresentarem n&#237;veis mais altos de satisfa&#231;&#227;o e reten&#231;&#227;o.</p><p></p><p>Essa transforma&#231;&#227;o tamb&#233;m est&#225; em curso no Brasil e tende a se acelerar nos pr&#243;ximos anos, impulsionada pela pr&#243;pria press&#227;o dos investidores por maior transpar&#234;ncia e alinhamento de interesses. Em praticamente todos os pa&#237;ses que promoveram mudan&#231;as regulat&#243;rias ou ampliaram a ado&#231;&#227;o do modelo baseado em honor&#225;rios, a transi&#231;&#227;o foi precedida por crises de confian&#231;a marcadas por epis&#243;dios de m&#225; conduta no mercado.</p><p></p><p>Nos Estados Unidos, por exemplo, a crise financeira de 2008&#8211;2009 foi decisiva para redefinir a estrutura do setor de assessoria financeira e fortalecer o modelo fiduci&#225;rio. No Brasil, os recentes epis&#243;dios envolvendo COEs e produtos de cr&#233;dito privado podem desempenhar papel semelhante, servindo como catalisadores de uma mudan&#231;a estrutural no relacionamento entre assessores e investidores &#8212; mesmo sem altera&#231;&#245;es legais imediatas. Essa evolu&#231;&#227;o tem ainda o potencial de impulsionar a ind&#250;stria de ETFs, ao favorecer produtos mais transparentes e de menor custo, al&#233;m de exercer press&#227;o competitiva sobre as taxas cobradas por fundos e plataformas.</p><p></p><p><strong>Refer&#234;ncias Bibliogr&#225;ficas</strong></p><p></p><ol><li><p><strong>Hackethal, A., Haliassos, M., &amp; Jappelli, T. (2012).</strong> <em>Financial Advisors: A Case of Babysitters?</em> <strong>Journal of Banking &amp; Finance, 36</strong>(2), 509&#8211;524. DOI: 10.1016/j.jbankfin.2011.08.008</p></li><li><p><strong>Bergstresser, D., Chalmers, J. M. R., &amp; Tufano, P. (2009).</strong> <em>Assessing the Costs and Benefits of Brokers in the Mutual Fund Industry.</em> <strong>Review of Financial Studies, 22</strong>(10), 4129&#8211;4156. DOI: 10.1093/rfs/hhp022</p></li><li><p><strong>Foerster, S., Linnainmaa, J. T., Melzer, B. T., &amp; Previtero, A. (2017).</strong> <em>Retail Financial Advice: Does One Size Fit All?</em> <strong>Journal of Finance, 72</strong>(4), 1441&#8211;1482. DOI: 10.1111/jofi.12514</p></li><li><p><strong>Egan, M. (2019).</strong> <em>Brokers versus Retail Investors: Conflicting Interests and Dominated Products.</em> <strong>Journal of Finance, 74</strong>(3), 1217&#8211;1260. DOI: 10.1111/jofi.12763 <a href="https://ideas.repec.org/a/bla/jfinan/v74y2019i3p1217-1260.html#:~:text=convertible%20bond%20data%20set%2C%20I,consumers%20toward%20high%E2%80%90fee%20inferior%20products">[10]</a></p></li><li><p><strong>Meyer, S., Uhr, C., Loos, B., &amp; Hackethal, A. (2023).</strong> <em>Switching from Commissions on Mutual Funds to Flat-Fees: How Are Advisory Clients Affected?</em> <strong>Journal of Economic Behavior &amp; Organization, 209</strong>, 423&#8211;449. DOI: 10.1016/j.jebo.2023.03.015</p></li><li><p><strong>Sokolinski, S. (2023).</strong> <em>Regulating Commission-Based Financial Advice: Evidence from a Natural Experiment.</em> <strong>Journal of Financial and Quantitative Analysis, 58</strong>(3), 1359&#8211;1389. DOI: 10.1017/S0022109022000898</p></li><li><p><strong>Sebastian, S., Noth, L., &amp; Grafe, A. (2022).</strong> <em>The Effect of Commission Bans on Household Wealth: Evidence from OECD Countries.</em> Center of Finance &#8211; Univ. de Regensburg &amp; HHL Leipzig, <strong>Working Paper</strong>.</p></li><li><p><strong>BEUC &#8211; Bureau Europ&#233;en des Unions de Consommateurs (2019).</strong> <em>The Case for Banning Commissions in Financial Advice.</em> Report no. BEUC-X-2019-046, 20 pp.</p></li><li><p><strong>TREASURY (Australia). Quality of Advice Review &#8211; Final Report</strong>. Canberra: Australian Government, 2023. Dispon&#237;vel em: <a href="https://treasury.gov.au/sites/default/files/2023-01/p2023-358632.pdf">https://treasury.gov.au/sites/default/files/2023-01/p2023-358632.pdf</a></p></li></ol>]]></content:encoded></item></channel></rss>