Portfolio Optimization Under Generalized Hyperbolic Skewed t Distribution and Exponential Utility
33 Pages Posted: 24 May 2009 Last revised: 14 Jun 2014
Date Written: March 28, 2014
In this paper, we show that if asset returns follow a generalized hyperbolic skewed t distribution, the investor has exponential utility function and a riskless asset is available, the optimal portfolio weights can be found either in closed-form or using a successive approximation scheme. We also derive lower bounds for the certainty equivalent return generated by the optimal portfolios. Finally, we present a study of the performance of mean-variance analysis and Taylor's series expected utility expansion (up to the fourth moment) to compute optimal portfolios in this framework.
Keywords: Portfolio Optimization, asymmetrical distribution, utility maximization
JEL Classification: G11
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