Based on the assumption that returns in Commercial Real Estate are normally distributed, the Sharpe Ratio has been the standard risk-adjusted performance measure for the past several years. Research has questioned whether this assumption can be reasonably made. The Upside Potential Ratio as a risk-adjusted performance measure is an alternative to measure performance on a risk-adjusted basis but its values differ from the Sharpe Ratio's only in the assumption of skewed returns. We will provide reasonable evidence that CRE returns should not be fitted with a normal distribution and present the Gaussian Mixture Model as our choice of distribution to fit skewness. We will then use a GMM distribution to measure performance of CRE domestic markets via UPR. Additional insights will be presented by introducing an alternative risk-adjusted perfomance measure that we will call D-ratio. We will show how the UPR and the D-ratio can provide a tool-box that can be added to any existing investment strategy when identifying markets' past performance and timing of entrance. The intent of this thesis is not to provide a comprehensive framework for CRE investment decisions but to introduce statistical and mathematical tools that can serve any portfolio manager in augmenting any investment strategy already in place.

Submitted by Sara Ribeiro (sara.ribeiro@ucb.br) on 2018-11-09T18:21:24Z No. of bitstreams: 1 JoseHenriquedeOliveiraVarandaDissertacao2018.pdf: 3107527 bytes, checksum: ea06abcabf1c014758cc880bcf0b0726 (MD5) / Approved for entry into archive by Sara Ribeiro (sara.ribeiro@ucb.br) on 2018-11-13T16:00:57Z (GMT) No. of bitstreams: 1 JoseHenriquedeOliveiraVarandaDissertacao2018.pdf: 3107527 bytes, checksum: ea06abcabf1c014758cc880bcf0b0726 (MD5) / Made available in DSpace on 2018-11-13T16:00:57Z (GMT). No. of bitstreams: 1 JoseHenriquedeOliveiraVarandaDissertacao2018.pdf: 3107527 bytes, checksum: ea06abcabf1c014758cc880bcf0b0726 (MD5) Previous issue date: 2018-07-02 / This study evaluates which modifications can restore the theoretical performance of dynamic asset allocation strategies that uses insurance and leverage, specifically those known as Constant Proportion Portfolio Insurance (CPPI), when confronted with realistic premises and scenarios. Simulations using GARCH models are applied to assess the effects of path dependency and volatility on those strategies and to evaluate how selected modifications mitigates those effects. These modifications are tested using the Farinelli- Tibilleti ratio and derivations, like de Upside Potential Ratio. As main finding, the modifications that mitigates path dependency can restore the theoretical performance of portfolio insurance with high significance, making those preferred strategies in relation to Buy-and-Hold (BH) or Constant-Mix (CM) for most investors in several scenarios. This work also presents a novel modification, adapted for the risk-free market in Brazil, that resulted in the best performing portfolio insurance strategy with great significance. / Este trabalho avalia quais modificações reestabelecem o desempenho teórico das estratégias dinâmicas de alocação de ativos com seguro e alavancagem, denominadas Constant Proportion Portfolio Insurance (CPPI), quando confrontadas com premissas e cenários realistas. São realizadas simulações de modelos da família GARCH, com parâmetros estimados do mercado, para exercitar os efeitos da dependência do caminho e da volatilidade nestas estratégias e avaliar como as modificações selecionadas ajudam a combate-los. A significância das modificações é testada pela medida Farinelli-Tibiletti, sobre tudo a combinação que resulta na razão Upside Potential, onde conclui-se que existem modificações significantes que são capazes de resgatar o desempenho teórico da estratégia CPPI, inclusive tornando-a preferível às estratégias clássicas Buy-and-Hold (BH) e Constant-Mix (CM) em certos cenários. Por fim, o trabalho apresenta uma modificação inovadora, derivada do ajuste à realidade do mercado brasileiro, que acabou por apresentar o maior nível de desempenho relativo do método CPPI, com elevada significância.