Portfolio optimization in the presence of dependent financial returns with long memory: A copula based approach |
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Authors: | Heni Boubaker Nadia Sghaier |
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Institution: | 1. GREQAM, Aix-Marseille Université, 2, rue de la Charité, 13236 Marseille Cedex 02, France;2. IPAG LAB, IPAG Business School, 184, boulevard Saint-Germain, 75006 Paris, France |
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Abstract: | In this paper, we seek to examine the effect of the presence of long memory on the dependence structure between financial returns and on portfolio optimization. First, we focus on the dependence structure using copulas. To select the best copula, in addition to the goodness of fit tests, we employ a graphical method based on visual comparison of the fitted copula density and the smoothed copula density estimated by wavelets. Moreover, we check the stability of the copula parameter. The empirical results show that the long memory affects the dependence structure. Second, we analyze the impact of this dependence structure on the optimal portfolio. We propose a new approach based on minimizing the Conditional Value at Risk and assuming that the dependence structure is modeled by the copula parameter. The empirical results show that our approach outperforms the traditional minimizing variance approach, where the dependence structure is represented by the linear correlation coefficient. |
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Keywords: | C14 C32 G11 G15 |
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