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Portfolio selection with skewness: A multiple-objective approach

  • Tsong-Yue Lai
Article

Abstract

In the presence of skewness, the portfolio selection entails considering competing and conflicting objectives, such as maximizing both its expected returns and skewness, and minimizing its risk for decreasing absolute risk-aversion investors. Since it is unlikely that a portfolio can solve the multiple-objectives problem simultaneously, a portfolio selection must depend on the investor's preference among objectives. This article shows that investor preference can be incorporated into a polynomial goal programming problem from which a portfolio selection with skewness is determined. An inefficient mean-variance portfolio may be optimal in the mean-variance-skewness content. The features of applying polynomial goal programming in portfolio selection are 1) the existence of an optimal solution, 2) the flexibility of the incorporation of investor preference, and 3) the relative simplicity of computational requirements.

Key words

skewness portfolio selection multiple-objectives approach preference 

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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • Tsong-Yue Lai
    • 1
  1. 1.Department of Finance, School of Business Administration and EconomicsCalifornia State UniversityFullerton

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