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zK`jW&e9XMJ3D*1(j`OKfZ_7E5LvsGJx8=nd?{@-pk>#K=s`rEA$hj>f)bVoZ3o9~d zyc{Q``3kXg#T5kbm(6-mesSNx!S;g3$(Sr{W?tR*B6x#00i&itp8z2fAL?R8o zP5HeaMqVq3)G+-+q_u&XRc4?*$^CxxIz+UiKsI-Tt9k~}1S0a{qfjz(KyoE$br^`r z<=r>qxHK@Vi|h4^GSW@Vj+W6Vn_jLOHh?P!f@Nlp*5CU0IG7;@yj3!X^2NU6+{}A zr~7>19gM>DKdZ70%Ro@EG*JA&<12FHW?*OJ!~18NVd`6fEE$DqT@z>)eSrTY&c{gm z7}3su0eM0n8N=GE7a#N#_HOYR)X#m7uz3HQhn57{p&A@uiUL1QdkX$F#k&~A&lzr= z$NTmYdLM8bzElpQH_DiTXA_;0^cC5^(bx0k{2 zs_1EFLMNw<#AbLI8(>c8dnAt@JAG~o_VZHkvFS?CLF!{xMEyKd$|kVek{2 z;oxt_BH6z_vM5;5K@1<^g019N3-~z;)oMhZDLty1Yp4unHd)%#%X}|kQW5y7;49q<^U2;{AvK z+~*?VRVw3uglx-~-s85*O>Bi$7faq{Oa}KIod1|KqU&KM6DZw^G->VWP#C}et*=4? z27M7>okhxH$CHucD_@pW=sL7icz%a^%QdU&;Myk^yUG2!(fur)Vv4pgh!Y%kc-sj_z&S=73`IO0y1?s|UB?JQk7_ZU}1`pi8w znw}GRl*7G!nXM!$YV9FXbI%H9aeIr@b#;F=P!Xa0uLNH*s?#&_^?{92eSQ=hR$OZtH$sUoYu2 zg7e{8jg^Fs&J=@?-V95maz0ZYL6uq;l#sg)!z(;F84M#aJSXFR<_;*eia*>G4JFz4 zh>-xQYri{GGWz#C`p+4z!3Mi-VZGF|@b4r1=WhWmcosFbQWx$2juF^z12^h%fAvu2 z-;?Y=kwrc~;1ox1S3Vd1UlGC&x9~c(ze)ZRSH$HZuItCk#b^HoKET2Oy~t|! o{PpqT{|Z{d75{%c#N;2+cxDzWPP[!info] +>A análise visual desses métodos indicou que o teste do cotovelo delimitou a escolha entre **três e oito** clusters + + +![[projeto-cluster-portfolio-7.png]] + +>[!info] +>Enquanto o teste da silhueta mostrou que as pontuações entre **quatro e sete** permaneceram no mesmo patamar + +Assim, a decisão final pela divisão em **três clusters** foi alcançada por meio do algoritmo **K-Means**, implementado na biblioteca **Scikit-learn**. Assim, nomeados os três subgrupos do universo máximo de **133 empresas**, foi criada uma **carteira fictícia** para cada um, de forma a **maximizar o Sharpe Ratio realizado** no período dos últimos três meses. Isso se deu através do algoritmo de alocação de carteiras via biblioteca do Python **PyPortfolioOpt (pypfopt)**, uma vez que ela busca uma solução ótima entre a **matriz de correlação** das ações e seus **retornos esperados** (dos últimos 3 meses). E, finalmente, uma carteira com seus pesos distribuídos entre as empresas que tiveram **melhor performance em cada subgrupo** é criada como ponto de comparação. @@ -63,7 +74,10 @@ A seguinte análise de performance visa responder e comparar tanto os desempenho ## Resultados -O backtest foi realizado considerando todos os trimestres de **2020 a 2024**. Nesse período, a **carteira principal (k = 4)** selecionou ao todo **29 ações**. Para destacar a relevância das escolhas, priorizou-se analisar as ações mais **recorrentes ao longo do tempo**, em vez das que tiveram **maior peso médio** em períodos isolados. Isso porque houve momentos em que a carteira concentrou peso **excessivo em uma única ação**, que depois acabou não retornando mais ao portfólio, o que poderia **distorcer a análise**. +O backtest foi realizado considerando todos os trimestres de **2020 a 2024**. Nesse período, a carteira principal selecionou ao todo **29 ações**. Para destacar a relevância das escolhas, priorizou-se analisar as ações mais **recorrentes ao longo do tempo**, em vez das que tiveram **maior peso médio** em períodos isolados. Isso porque houve momentos em que a carteira concentrou peso **excessivo em uma única ação**, que depois acabou não retornando mais ao portfólio, o que poderia **distorcer a análise**. + +![[projeto-cluster-portfolio-9.png]] + As ações que mais se destacaram no portfólio, tanto pela **frequência** quanto pelo **peso médio**, podem ser organizadas e descritas principalmente pelos seguintes setores e suas características: @@ -73,7 +87,7 @@ A **SLC Agrícola** se destacou como a ação **mais relevante** do portfólio, ### (2) Comunicações -A presença de **VIVT3**, com o **segundo maior peso médio (62%)**, indica a importância do setor de **telecomunicações** no portfólio. Empresas desse setor apresentam **receitas recorrentes**, **geração de caixa robusta** e **políticas consistentes de dividendos**. A inclusão de VIVT3 sugere que o modelo buscou **diversificação com ativos defensivos**, capazes de oferecer **estabilidade** em períodos de maior incerteza econômica. +A presença de **VIVT3**, com o **segundo maior peso médio (62%)**, indica a importância do setor de **telecomunicações** no portfólio. Empresas desse setor apresentam **receitas recorrentes**, **geração de caixa robusta** e **políticas consistentes de dividendos**. ### (3) Materiais Básicos @@ -87,23 +101,36 @@ A **WEG (WEGE3)** destacou-se como representante de **bens industriais**. A empr O setor de consumo cíclico foi representado por três companhias de segmentos distintos. A **Technos (TECN3)** adicionou um ativo de **menor capitalização**, refletindo oportunidades de curto prazo no **varejo de acessórios**. A **Vulcabras (VULC3)**, com marcas esportivas de renome, esteve associada à **retomada do consumo doméstico**. A **Whirlpool (WHRL4)**, multinacional de eletrodomésticos, reforçou a exposição a **bens duráveis**, geralmente mais sensíveis ao **ciclo econômico**. O conjunto sugere que o algoritmo explorou **nichos de consumo** em diferentes fases do ciclo de renda. -De forma geral, a carteira apresentou **diversidade setorial**, com predominância de setores ligados à **rentabilidade estrutural**. Isso reforça o objetivo central do projeto: empregar a **clusterização** não apenas para identificar padrões de escolha, mas também para **ampliar a diversificação e reduzir riscos**. +De forma geral, a carteira apresentou **diversidade setorial**, com predominância de setores ligados à **rentabilidade estrutural**. Isso reforça o objetivo central do projeto: empregar a **clusterização** não apenas para identificar padrões de escolha, mas também uma tentativa de **ampliar a diversificação e de se reduzir riscos**. -Outro ponto relevante diz respeito à **dinâmica temporal dos pesos atribuídos**. Não basta analisar quais ações foram selecionadas, mas também **quando** e com **qual intensidade** participaram da carteira. A leitura mostra que as maiores concentrações ocorreram de forma **pontual**, não como posições permanentes. Em geral, os ativos **não permaneceram por muitos trimestres consecutivos**, retornando ao portfólio apenas depois de longos intervalos. Isso evidencia que, ao identificar um papel como **ótima escolha** dentro de seu cluster em determinado trimestre, o **otimizador de Sharpe Ratio** tende a atribuir-lhe **peso elevado**. +Outro ponto relevante diz respeito à **dinâmica temporal dos pesos atribuídos**. Não basta analisar quais ações foram selecionadas, mas também **quando** e com **qual intensidade** participaram da carteira. + +![[projeto-cluster-portfolio-3.png]] + +>[!info] +>A leitura visual mostra que houve uma concentração a um único ativo por período de forma **sistêmica**, justamente pela escolha do critério de **Sharp Ratio**. O algoritimo acabou não fazendo uma boa distribuição de pesos, concentrando o peso do portfólio em cada período em uma única ação somente. Diante desse fato, será mostrado mais adiante, que isso acabou comprometendo a intenção inicial de reduzir riscos sistêmicos e de potencializar o retorno esperado. Ademais, pode-se observar que o modelo tem ativos como **VIVT3**, **VALE3** e **WEGE3** aparecendo em **múltiplos períodos** distintos, sugerindo que eles são “candidatos” recorrentes a compor a carteira. Suas características de **rentabilidade estrutural** são consistentemente capturadas pelo modelo em diferentes contextos de mercado. Em contrapartida, ações como **RANI3**, **TECN3** ou **WHRL4**, que aparecem de forma mais esporádica, representam **apostas mais táticas** e surgem como **oportunistas**, selecionadas quando seus fundamentos se destacam em um trimestre específico. -Portanto, essa dinâmica **não é passiva** de comprar e segurar os ativos com os melhores fundamentos por longos períodos. Pelo contrário, é uma estratégia de **rotação quantitativa ativa** e de **diversificação**. +Portanto, dinâmica da carteira **não é passiva**, no sentido de se comprar e segurar os ativos com os melhores fundamentos por longos períodos. Pelo contrário, é uma estratégia de **rotação quantitativa ativa** e de **diversificação**. Esse comportamento dinâmico levanta a questão central: até que ponto a rotação ativa e a diversificação de setores se traduziram em **resultados financeiros concretos**? Para responder, é necessário observar a **rentabilidade acumulada e parcial** da carteira ao longo do intervalo de tempo. -A análise de performance revela que essa dinâmica **não se traduziu em resultados sustentáveis**. O resultado final da estratégia ao longo dos cinco anos (**2020–2025**) foi um **prejuízo acumulado de 24%**. A trajetória até esse desfecho foi **extremamente volátil**: a carteira chegou a registrar ganhos **próximos de 40%** no início de **2023**, mas reverteu toda a valorização e **terminou em território negativo**. O percurso expôs o portfólio a um **risco elevado**, com um **drawdown inicial superior a 50%** no primeiro trimestre de **2020** e uma **curva de capital instável** ao longo do tempo. +![[projeto-cluster-portfolio-6.png]] + +>[!info] +>A análise de performance revela que essa dinâmica **não se traduziu em resultados sustentáveis**. O resultado final da estratégia ao longo dos cinco anos (**2020–2025**) foi um **prejuízo acumulado de 24%**. A trajetória até esse desfecho foi **extremamente volátil**: a carteira chegou a registrar ganhos **próximos de 40%** no início de **2023**, mas reverteu toda a valorização e **terminou em território negativo**. O percurso expôs o portfólio a um **risco elevado**, com um **drawdown inicial superior a 50%** no primeiro trimestre de **2020** e uma **curva de capital instável** ao longo do tempo. O comportamento trimestral reforça essa leitura: a estratégia alternou trimestres de **ganhos expressivos (acima de 20%)** com **perdas acentuadas (superiores a -20%)**. Isso mostra que a **concentração** em poucas apostas de curto prazo, embora gerasse **picos de performance**, comprometeu a **consistência** dos resultados no horizonte de cinco anos. A fins de exercício da estratégia, foi estipulado um **valor patrimonial inicial** de **R$ 100.000,00**. Esse valor serve como referência base para avaliar tanto o crescimento quanto as perdas ao longo do período, permitindo interpretar os movimentos patrimoniais em termos **relativos e absolutos**. -A evolução patrimonial evidencia algumas **lições centrais**. A trajetória foi caracterizada por **alta volatilidade**, refletindo **alocação de risco elevada** e exposição a oscilações significativas. A marca de **R$ 100 mil** atuou como **divisor de águas**: o patrimônio conseguiu superar e se manter acima por cerca de **1,5 ano**, mas acabou recuando, confirmando a resistência dessa faixa. O **drawdown** do primeiro trimestre de **2020** comprometeu fortemente a rentabilidade de longo prazo, revelando **falhas na gestão de risco**, enquanto a tendência de queda nos últimos trimestres indica que as estratégias adotadas a partir de **2024** não foram suficientes para estabilizar o portfólio. +![[projeto-cluster-portfolio-4.png]] + +>[!info] +>A linha de preta de mostra a referência incial dos R$ 100.000,00 investidos incialmente. As barras vermelhas mostram os períodos que o portfólio ficou abaixo desse patamar e as barras verdes mostram os períodos que ficou acima. + +A evolução patrimonial evidencia algumas **lições centrais**. A trajetória foi caracterizada por **alta volatilidade**, refletindo **alocação de risco elevada** e exposição a oscilações significativas. A marca de **R$ 100 mil** atuou como **divisor de águas**: o patrimônio conseguiu superar e se manter acima por cerca de **1,5 ano**, mas acabou recuando, confirmando a resistência dessa faixa. O **drawdown** do primeiro trimestre de **2020** comprometeu fortemente a rentabilidade de longo prazo, revelando **falhas na gestão de risco**. Em suma, a trajetória patrimonial demonstra que, apesar do potencial identificado pelo modelo e das oportunidades de ganhos expressivos em períodos pontuais, a estratégia apresentou **consistência limitada** e **alta sensibilidade a choques de mercado**. A **falta de mecanismos robustos de controle de risco** e a **concentração elevada** em poucos ativos por trimestre impediram que os ganhos fossem preservados, resultando em uma **performance final significativamente inferior** ao pico alcançado. ## Análise de Risco @@ -114,6 +141,8 @@ O **VaR** estima a **perda máxima esperada** do portfólio em um horizonte de t Já o **CVaR** calcula a **perda média nos piores cenários**, ou seja, quando a perda ultrapassa o valor estimado pelo VaR. No caso do portfólio analisado, essa métrica indicou uma **queda de -30%**, evidenciando a severidade das perdas em **eventos extremos**. Assim, enquanto o VaR estabelece um **limite de perda “esperado”**, o CVaR captura a **magnitude real das perdas** nos piores cenários, sendo especialmente relevante para estratégias **concentradas** ou com **retornos assimétricos**. +![[projeto-cluster-portfolio-2.png]] + No caso do portfólio analisado, o VaR mensal de **-15%** confirma que a estratégia **assume risco elevado** de forma consistente, enquanto o CVaR de **-30%** evidencia que, quando o limite do VaR é ultrapassado, o **prejuízo médio esperado é substancial**. Os eventos históricos de **-50%**, **-31%** e **-18%** reforçam a materialização concreta desse risco, demonstrando que perdas severas **não** são meros acidentes, mas sim uma **característica estrutural** da carteira. O **drawdown máximo de 51%** registrado no início de **2020** confirma que o portfólio é vulnerável a **choques extremos**, resultado da **extrema concentração** de capital em poucos ativos. Em síntese, os dados demonstram que a estratégia **não apresenta risco otimizado**, mas **risco concentrado**: o portfólio aposta em **retornos elevados**, mas paga caro em **perdas expressivas**. O **resultado final de -24%** evidencia que o prêmio de risco **não compensou** a magnitude das perdas, gerando **retorno ajustado ao risco negativo**. @@ -141,6 +170,11 @@ Na fase de **validação interna**, o número de clusters indicados como ideal v O projeto demonstrou que a estratégia de **otimização via clusterização**, na forma como foi implementada, **não cumpriu o objetivo** inicial de **reduzir risco** e **maximizar o Sharpe Ratio**. A carteira resultante apresentou **desempenho volátil**, **forte concentração** em poucos ativos e um **resultado acumulado negativo**, evidenciando **falhas de gestão de risco**. +![[projeto-cluster-portfolio-5.png]] + +>[!info] +>Comparação entre a **rentabilidade acumulada** da nossa carteira principal com o **Ibovespa** e com a **carteira sem clusterizar**, que apenas pegava ações do universo inteiro com maior maior Sharpe Ratio no período. Podemos perceber o desempenho ficou bem aquém do esperado. + Apesar de ter identificado **setores relevantes** e capturado **momentos de alta rentabilidade**, a estratégia mostrou-se **inconsistente** no longo prazo. A **diversificação** prometida pela clusterização **não** se concretizou, já que a **alocação excessiva** em um ou dois papéis **anulou** os benefícios esperados, performando **pior** que a carteira na qual **não houve clusterização**. O estudo deixa claro que a **simples aplicação de clusterização** não é suficiente para **construir um portfólio robusto**. É necessário incorporar **controles de risco explícitos**, **limites de exposição por ativo** e **métricas adicionais além do Sharpe Ratio**. Sem esses mecanismos, a estratégia tende a se comportar como **especulação de curto prazo**, sem entregar **retorno ajustado ao risco** de forma sustentável.