With robo-advisors and regulation eventually changing the market conditions of thefinancial advisory industry, traditional advisors will have to adapt to a new world of asset management. Thus, it will be of interest to traditional advisors to further explore the topic of how to automatically evaluate soft aspects such as client preferences and behavior, and transform it into portfolio allocations while retaining stringency and high quality in the process. In this thesis, we show how client preferences and behavioral aspects can be translated into quantitative parameters, suitable for an asset allocation model based on prospect theory. A risk profiler, a type of questionnaire, is found to be an appropriate tool to use in this process. Further, we show that the impact of the parameters on the resulting portfolio allocations is consistent with prospect theory and the preferences of the investor. Finally, we conclude that the optimized portfolio allocation generated by the model suit the investor's preferences. / Allteftersom robotrådgivning och regleringar förändrar marknadsvillkoren för finansiellrådgivning kommer traditionella aktörer behöva anpassa sig till helt nya förutsättningar. Därmed är det av intresse för traditionella rådgivare att ytterligare undersöka hur man automatiskt kan utvärdera mjuka faktorer, såsom kunders preferenser och beteende, och omvandla dem till portföljallokeringar samtidigt som man bibehåller stringens och hög kvalitet i processen. I denna avhandling visar vi hur kundpreferenser och beteendemässiga aspekter kan översättas till kvantitativa parametrar för en allokeringsmodell baserad på prospektteori. En riskprofilerare, en typ av frågeformulär, visar sig vara ett bra verktyg att använda i processen. Vidare visas att parametrarnas effekt på de resulterande portföljerna är förenliga med prospektteori och investerarens preferenser. Slutligen drar vi slutsatsen att den optimerade allokeringen passar investerarens preferenser.

The mean variance framework (MV) developed by Markowitz in his groundbreaking paper offers a quantitative and rational approach to portfolio selection. It is well known to market practitioners however that the MV optimal portfolios tend to perform subpar. One of the issues of the MV portfolios is that they require the inverse of a large covariance matrix, which is often ill-conditioned. In this thesis, we develop a new approach to circumvent these issues. We propose an optimisation approach akin to least squares linear regression and compare the performance with an establish method, covariance shrinkage. When tested on a set of 30 futures contracts, we find that the models yield promising results albeit somewhat lower than that of the benchmark. / Mean variance ramverket (MV) framtaget av Markowitz i sin banbrytande artikel möjliggör en kvantitativ och rationell metod för portföljallokering. Det är däremot ett väletablerat faktum bland marknadsaktörer att Markowitz-optimala portföljer tenderar att prestera relativt dåligt. Ett av tillkortakommandena av ramverket är den ofta problemtyngda inverteringen av, den ofta stora, kovariansmatrisen som är illa konditionerad. I denna uppsats föreslår vi en ny metod för att kringgå detta problem. Vi föreslår en optimeringsmetodologi mycket lik minsta kvadratmetoden i linjär regression. Denna metod utvärderas sedan mot en vedertagen metod, kovarianskrympning. När vi utvärderar vår modell på 30 stycken terminskontrakt ser vi lovande resultat men finner en Sharpekvot något lägre än referensportföljens.

Depuis quelques années, la recherche financière s'inscrit dans une nouvelle dynamique. La nécessité de mieux modéliser le comportement des rendements des actifs financiers et les risques sur les marchés pousse les chercheurs à trouver des mesures de risque plus adéquates. Ce travail de recherche se situe dans cette évolution, ayant admis les caractéristiques des séries financières par des faits stylisés tels que la non normalité des rendements. A travers cette thèse nous essayons de montrer l'importance d'intégrer des mesures de risque qui tiennent compte de la non normalité dans le processus d'évaluation et d'allocation des actifs financiers sur le marché français. Cette thèse propose trois chapitres correspondant chacun à un article de recherche académique. Le premier article propose de revisiter les modèles d'évaluation en prenant en compte des moments d'ordres supérieurs dans un cadre de downside risk. Les résultats indiquent que les downside co-moments d'ordres supérieurs sont déterminants dans l'explication des variations des rendements en coupe transversale. Le second chapitre propose de mettre en relation la rentabilité financière et le risque mesuré par la VaR ou la CVaR. Nous trouvons que la VaR présente un pouvoir explicatif plus élevé que celui de la CVaR et que l'approche normale est plus intéressante que l'approche basée sur l'expansion de Cornish-Fisher (1937). Ces deux résultats contredisent les prédictions théoriques mais nous avons pu démontrer qu'ils sont inhérents au marché français. Le troisième chapitre propose une autre piste, nous revisitons le modèle moyenne-CVaR dans un cadre dynamique et en présence des coûts de transaction / This dissertation is part of an ongoing researches looking for an adequate model that apprehend the behavior of financial asset returns. Through this research, we propose to analyze the relevance of risk measures that take into account the non-normality in the asset pricing and portfolio allocation models on the French market. This dissertation is comprised of three articles. The first one proposes to revisit the asset pricing model taking into account the higher-order moments in a downside framework. The results indicate that the downside higher order co-moments are relevant in explaining the cross sectional variations of returns. The second paper examines the relation between expected returns and the VaR or CVaR. A cross sectional analysis provides evidence that VaR is superior measure of risk when compared to the CVaR. We find also that the normal estimation approach gives better results than the approach based on the expansion of Cornish-Fisher (1937). Both results contradict the theoretical predictions but we proved that they are inherent to the French market. In the third paper, we review the mean-CVaR model in a dynamic framework and we take into account the transaction costs. The results indicate that the asset allocation model that takes into account the non-normality can improve the performance of the portfolio comparing to the mean-variance model, in terms of the average return and the return-to CVaR ratio. Through these three studies, we think that it is possible to modify the risk management framework to apprehend in a better way the risk of loss associated to the non-normality problem

This thesis consists of three essays in behavioral finance: One for the Gain, Three for the Loss is a study of loss aversion in portfolio choice. Using historical returns, I find that the pain of a loss must be greater than three times the pleasure of a gain for investors to hold finitely leveraged portfolios. For lower rates of loss aversion, in particular those proposed in the earlier experimental literature, portfolio allocation to risky assets is infinite. All Guts, No Glory: Trading and Diversification among Online Investors explores the cross-sectional portfolio performance of 16,831 investors at an online discount brokerage firm. Investors hold undiversified portfolios, show a strong preference for risk, and trade aggressively. I show that investors with high portfolio turnover underperform their benchmarks. The degree of diversification, a proxy for investor skill, has a separate and distinct positive effect on performance. Equity Mutual Fund Flows and Stock Returns in Sweden uses time series methods to characterize the relation between unexpected flows to equity mutual funds and returns on the Swedish stock market. I find that concurrent unexpected flows and returns are strongly positively correlated. Unexpected flows have a distinct effect on returns even when other risk factors are considered. / Diss. Stockholm : Handelshögsk., 2004

[pt] Este trabalho propõe um modelo de previsão de matrizes de covariância realizada de altíssima dimensão, com aplicação para os componentes do índice S e P 500. Para lidar com o altíssimo número de parâmetros (maldição da dimensionalidade), propõe-se a decomposição da matriz de covariância de retornos por meio do uso de um modelo de fatores padrão (e.g. tamanho, valor, investimento) e uso de restrições setoriais na matriz de covariância residual. O modelo restrito é estimado usando uma especificação de vetores auto regressivos heterogêneos (VHAR) estimados com LASSO (Least Absolute Shrinkage and Selection Operator). O uso da metodologia proposta melhora a precisão de previsão em relação a benchmarks padrões e leva a melhores estimativas de portfólios de menor variância. / [en] We propose a model to forecast very large realized covariance matrices of returns, applying it to the constituents of the S and P 500 on a daily basis. To deal with the curse of dimensionality, we decompose the return covariance matrix using standard firm-level factors (e.g. size, value, profitability) and use sectoral restrictions in the residual covariance matrix. This restricted model is then estimated using Vector Heterogeneous Autoregressive (VHAR) models estimated with the Least Absolute Shrinkage and Selection Operator (LASSO). Our methodology improves forecasting precision relative to standard benchmarks and leads to better estimates of the minimum variance portfolios.

Submitted by Pablo F. Oliveira (pablo.perque@gmail.com) on 2012-02-29T12:36:59Z No. of bitstreams: 1 Dissertacao - Pablo Frisanco Oliveira -final.pdf: 1039827 bytes, checksum: 63d8e3ff3c6593d9ef449829e78e77c1 (MD5) / Approved for entry into archive by Gisele Isaura Hannickel (gisele.hannickel@fgv.br) on 2012-02-29T12:45:22Z (GMT) No. of bitstreams: 1 Dissertacao - Pablo Frisanco Oliveira -final.pdf: 1039827 bytes, checksum: 63d8e3ff3c6593d9ef449829e78e77c1 (MD5) / Made available in DSpace on 2012-02-29T12:55:43Z (GMT). No. of bitstreams: 1 Dissertacao - Pablo Frisanco Oliveira -final.pdf: 1039827 bytes, checksum: 63d8e3ff3c6593d9ef449829e78e77c1 (MD5) Previous issue date: 2012-01-30 / The aim of the present work is verify if, when the higher moments (skewness and kurtosis) are taken in consideration for carry trade portfolio allocation optimization, an investor can be better off than the traditional allocation, which prioritizes only the first two moments (mean and variance). The hypothesis of the research is that a carry trade currency exhibits non-Normal returns distribution, and its higher moments have a dynamic which can be modeled by GARCH-type model, in this specific case IC-GARCHSK. This model consists of one equation to each of the independent components’ conditional moments, named the returns, variance, the skewness, and the kurtosis. Another hypothesis is that a CARA (constant absolute risk aversion) utility function investor can have its function approximated by 4th order Taylor expansion. The work’s strategy is modelling the dynamics of the daily log-returns series’ moments of some carry trade currencies using the model above and dynamically estimate the optimal allocation which maximizes the investor’s expected utility function. The results show that the investor can benefit from taking in consideration the series’ higher moments, once this portfolio exhibited smaller opportunity cost than one that uses only mean and variance as criteria. / O objetivo do presente trabalho é verificar se, ao levar-se em consideração momentos de ordem superior (assimetria e curtose) na alocação de uma carteira de carry trade, há ganhos em relação à alocação tradicional que prioriza somente os dois primeiros momentos (média e variância). A hipótese da pesquisa é que moedas de carry trade apresentam retornos com distribuição não-Normal, e os momentos de ordem superior desta têm uma dinâmica, a qual pode ser modelada através de um modelo da família GARCH, neste caso IC-GARCHSK. Este modelo consiste em uma equação para cada momento condicional dos componentes independentes, explicitamente: o retorno, a variância, a assimetria, e a curtose. Outra hipótese é que um investidor com uma função utilidade do tipo CARA (constant absolute risk aversion), pode tê-la aproximada por uma expansão de Taylor de 4ª ordem. A estratégia do trabalho é modelar a dinâmica dos momentos da série dos logartimos neperianos dos retornos diários de algumas moedas de carry trade através do modelo IC-GARCHSK, e estimar a alocação ótima da carteira dinamicamente, de tal forma que se maximize a função utilidade do investidor. Os resultados mostram que há ganhos sim, ao levar-se em consideração os momentos de ordem superior, uma vez que o custo de oportunidade desta foi menor que o de uma carteira construída somente utilizando como critérios média e variância.

Cette thèse porte sur les choix des investisseurs de long terme en matière de gestion de portefeuille ainsi que sur les primes de risque offertes par le marché financier Français. Les travaux réalisés dans cette thèse se proposent d’apporter un éclairage ainsi que des arguments en faveur des placements à caractère long, risqué et productifs.En matière de gestion de portefeuille, ce travail apporte plusieurs réponses en matière d’allocation d’actifs et de stratégies optimales d’investissement. Tout d’abord, et en se basant sur des indices boursiers actions et obligataires, il s’avère que le marché français est efficient au sens faible et que l’hypothèse de marche aléatoire n’y est pas rejetée. Ce premier résultat implique que les rentabilités anormales que l’on peut mesurer sur ce marché émanent de facteurs de risque à rémunérer et non pas d’anomalies. Ainsi, dans le deuxième article, on démontre une prime de valeur persistante au sein du marché Français sur la période étudiée. Par contre, la prime de taille n’est observable que pour les titre à ratio valeur comptable sur valeur de marché très faibles ou très élevés ainsi que pour les titres ayant une rentabilité cumulée passée élevée. Aussi, investir dans les entreprises à momentum élevé mène toujours à des rentabilités meilleures quelle que soit la taille de l’entreprise considérée. On confirme également que la bonne spécification du portefeuille de marché est sine qua non pour une évaluation correcte des actifs financiers. Dans le troisième article, et dans une optique multi-périodiques de gestion de portefeuille, l’écart-type des rentabilités annualisées des actifs risqués décroit lorsqu’on allonge la période de détention ce qui implique que les gestionnaires de portefeuille tendent à biaiser les allocations vers des actifs plus sûrs et négligent par cela un manque à gagner. Ce travail démontre également que détenir un portefeuille d’actions de petites capitalisations s’avère un placement optimal pour les investisseurs ayant un horizon long. Ces résultats mettent en lumière des règles prudentielles inefficaces du point de vue des assurés d’une part, et, mettent en évidence la nécessité de mesures visant à relancer les marchés pour les petites entreprises et de faciliter leur accès au financement direct d’autre part. / This thesis focuses on long term investments and risk premiums within the French financial market. The results bring evidence supporting placements in long term, risky and productive assets. In terms of portfolio management, this thesis brings several answers regarding the optimal allocation strategies. The first article demonstrates that the French financial market is weak form efficient since we could not reject the random walk hypothesis based on the variance ratio methodology. This first contribution implies that abnormal returns are resulting from risk factors and not from anomalies. Thus, the second article revisits famous asset pricing models and highlights optimal portfolio strategies. We find that value and momentum premiums are persistent in the French market. However, size premium is only observable in extreme book to market and momentum strategies. Moreover, we show that market portfolio choice is sine qua non to models performances and that the latest is surprisingly increasing in times of distress. The third article considers the term structure of risk-return tradeoff. Based on a VAR model, we find that excess annualized standard deviation of stocks excess returns with respect to bonds and bills decreases as we lengthen investment horizon which means that investors may bias their portfolios towards safe assets and neglect additional return. Furthermore, we measured the time diversification effect among stock portfolios by distinguishing small and big capitalizations and prove that it is more profitable to hold small capitalizations than big capitalizations stocks in the long run. These results shed light on inefficient prudential rules from the viewpoint of policyholders on one hand, and, on the other hand, highlight the necessity of implementing measures to revive the markets for small enterprises and facilitate their access to direct financing through the market.

Traditionally, practitioners use modern portfolio theory to invest optimally. Its appeal lies in its mathematical simplicity and elegance. However, despite its beauty, the theory it is plagued with many problems, which are in combination called the Markowitz curse. Lopéz de Prado introduced Hierarchical Risk Parity (HRP), which deals with the problems of Markwitz’s theory by introducing hierarchical structures into the portfolio allocation step.This thesis is a continuation of the HRP. In contrast to De Prado’s work, we build hierarchical clusters that do not have a predetermined structure and also use portfolio allocation methods that incorporates the mean estimates. We use an algorithm called community detection which is derived from graph theory. The algorithm generates clusters purely from the data without user specification. A problem to overcome is the correct identification of the market mode, whichis non-trivial for futures contracts. This is a serious problem since the specific clustering method we use hinges on correctly identifying this mode. Therefore, in this thesis we introduce a method of finding the market mode for futures data. Finally, we compare the portfolios constructed from the hierarchical clusters to traditional methods. We find that the hierarchical portfolios results in slightly worse performance than the traditional methods when we incorporate the mean and better performance for risk based portfolios. In general, we find that the hierarchical portfolios result in less extreme outcomes. / Traditionellt används modern portföljteori för attinvestera optimalt. Anledningen till detta ligger i dess matematiska enkelhet och elegans. Men trots sina många fördelar är teorin plågad med flertal problem, som i kombination kallas för Markowitz-förbannelsen. Lopéz de Prado introducerade Hierarchical Risk Parity (HRP), som påstås tacköa problemen med Markwitz teori genom att införa hierarkiska strukturer i portföljallokeringssteget. Detta examensarbete är en fortsättning på HRP. I motsats till De Prados arbete bygger vi hierarkiska kluster som inte har en förutbestämd struktur och använder även portföljallokeringsmetoder som inkluderar medelskattningarna. Vi använder en algoritm som kallas communitydetection som härrör från grafteori. Algoritmen genererar kluster enbart från data utan användarspecifikation. Ett problem att överkomma är den korrekta identifieringen av marknadsläget, vilket inte är trivialt för terminskontrakt. Detta är ett allvarligt problem eftersom den specifika klustringsmetoden vi använder hänger samman med att korrekt identifiera detta läge. Därför introducerar vi i denna avhandling en metod för att hitta marknadsläget för terminsdata. Slutligen jämför vi portföljerna konstruerade från de hierarkiska klustren med traditionella metoder. Vi finner att de hierarkiska portföljerna ger något sämre prestandaän de traditionella metoderna när vi tar med medelvärdet och bättre prestanda för riskbaserade portföljer. Generellt finner vi att de hierarkiska portföljerna resulterar i mindre extrema utfall.

Ever since its introduction in 1952, the Mean-Variance (MV) portfolio selection theory has remained a centerpiece within the realm of e_cient asset allocation. However, in scienti_c circles, the theory has stirred controversy. A strand of criticism has emerged that points to the phenomenon that Mean-Variance Optimization su_ers from the severe drawback of estimation errors contained in the expected return vector and the covariance matrix, resulting in portfolios that may signi_cantly deviate from the true optimal portfolio. While a substantial amount of e_ort has been devoted to estimating the expected return vector in this context, much less is written about the covariance matrix input. In recent times, however, research that points to the importance of the covariance matrix in MV optimization has emerged. As a result, there has been a growing interest whether MV optimization can be enhanced by improving the estimate of the covariance matrix. Hence, this thesis was set forth by the purpose to investigate whether nancial practitioners and institutions can allocate portfolios consisting of assets in a more e_cient manner by changing the covariance matrix input in mean-variance optimization. In the quest of chieving this purpose, an out-of-sample analysis of MV optimized portfolios was performed, where the performance of ve prominent covariance matrix estimators were compared, holding all other things equal in the MV optimization. The optimization was performed under realistic investment constraints, taking incurred transaction costs into account, and for an investment asset universe ranging from equity to bonds. The empirical _ndings in this study suggest one dominant estimator: the covariance matrix estimator implied by the Gerber Statistic (GS). Speci_cally, by using this covariance matrix estimator in lieu of the traditional sample covariance matrix, the MV optimization rendered more e_cient portfolios in terms of higher Sharpe ratios, higher risk-adjusted returns and lower maximum drawdowns. The outperformance was protruding during recessionary times. This suggests that an investor that employs traditional MVO in quantitative asset allocation can improve their asset picking abilities by changing to the, in theory, more robust GS  ovariance matrix estimator in times of volatile nancial markets.

The purpose of this thesis is to use the martingale approach to solve dynamic international portfolio problems. This thesis consists of three essays in dynamic international portfolio allocation. In demonstrating that foreign consumption plays an important role in international portfolio allocations, in Chapter 2, we present the first essay where we provide the optimal consumption plan and portfolio allocation for a representative investor with continuoustime and complete market assumptions in a simple two-country setting. Due to the demand for foreign consumption, the optimal portfolio allocation requires suitable foreign bonds to hedge against the changes in the foreign investment opportunity set and the exchange rate. The empirical results not only show that the optimal portfolio allocation with domestic and foreign consumption is different from that without consumption or with domestic consumption only, but also demonstrate the need for the foreign bonds to hedge against the change in the exchange rate risk. We present the second essay in which we extend the research of the investor's portfolio allocation problem into a continuous dynamical international market where the investment barrier of international portfolio exists. With deterministic market prices of risks, CRRA utility function and the existence of a simple investment barrier, the investor optimally hedges against the investment opportunity by allocating funds into three portfolios which are constructed by unconstrained bank accounts, equities and bonds. The first portfolio is the so called mean-variance portfolio, the second is the hedge portfolio, and the third is the synthetic portfolio which mimics the expected excess return of the constrained security in foreign country. This issue displays in Chapter 3. The third essay is presented in Chapter 4. Here we develop a continuous-time intertemporal portfolio allocation model in an international mildly segmented market. With deterministic market prices of risks and CRRA utility function, the domestic investor in the segmented market optimally hedges against the stochastic interest rates by allocating funds into two portfolios. The restricted mean-variance portfolio is derived from the traditional mean-variance portfolio without foreign constrained securities. The hedge portfolio is comprised of domestic bonds with a specific horizon for hedging against the change in the domestic interest rate. The numerical results indicate that when the volatility of the stochastic discount factor increases due to the less diversification caused by market segmentation, the less risk-averse investor benefits accordingly. Chapter 5 summarizes the main findings of the three studies and concludes the thesis by suggesting some future research venues related the current subject. / The purpose of this thesis is to use the martingale approach to solve dynamic international portfolio problems. This thesis consists of three essays in dynamic international portfolio allocation. In demonstrating that foreign consumption plays an important role in international portfolio allocations, in Chapter 2, we present the first essay where we provide the optimal consumption plan and portfolio allocation for a representative investor with continuoustime and complete market assumptions in a simple two-country setting. Due to the demand for foreign consumption, the optimal portfolio allocation requires suitable foreign bonds to hedge against the changes in the foreign investment opportunity set and the exchange rate. The empirical results not only show that the optimal portfolio allocation with domestic and foreign consumption is different from that without consumption or with domestic consumption only, but also demonstrate the need for the foreign bonds to hedge against the change in the exchange rate risk. We present the second essay in which we extend the research of the investor's portfolio allocation problem into a continuous dynamical international market where the investment barrier of international portfolio exists. With deterministic market prices of risks, CRRA utility function and the existence of a simple investment barrier, the investor optimally hedges against the investment opportunity by allocating funds into three portfolios which are constructed by unconstrained bank accounts, equities and bonds. The first portfolio is the so called mean-variance portfolio, the second is the hedge portfolio, and the third is the synthetic portfolio which mimics the expected excess return of the constrained security in foreign country. This issue displays in Chapter 3. The third essay is presented in Chapter 4. Here we develop a continuous-time intertemporal portfolio allocation model in an international mildly segmented market. With deterministic market prices of risks and CRRA utility function, the domestic investor in the segmented market optimally hedges against the stochastic interest rates by allocating funds into two portfolios. The restricted mean-variance portfolio is derived from the traditional mean-variance portfolio without foreign constrained securities. The hedge portfolio is comprised of domestic bonds with a specific horizon for hedging against the change in the domestic interest rate. The numerical results indicate that when the volatility of the stochastic discount factor increases due to the less diversification caused by market segmentation, the less risk-averse investor benefits accordingly. Chapter 5 summarizes the main findings of the three studies and concludes the thesis by suggesting some future research venues related the current subject.