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Performance evaluation, portfolio selection, and HARA utility

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  • Breuer, Wolfgang
  • Gürtler, Marc

Abstract

Our main goal is the generalization of the approach of Jobson and Korkie(1984) for funds performance evaluation. Therefore, we consider the portfolio selection problem of an investor who faces short sales restrictions when choosing among F different investment funds and assume the investor's utility function to be of the HARA type. We develop a performance measure and discuss its relationships to Treynor(1965), Sharpe(1966), Jensen(1968), Prakash and Bear(1986), and Grinblatt and Titman(1989). Particular attention is given to the special case of cubic utility implying skewness preferences. Our findings are illustrated by an empirical example.

Suggested Citation

  • Breuer, Wolfgang & Gürtler, Marc, 2002. "Performance evaluation, portfolio selection, and HARA utility," Working Papers FW01V4, Technische Universität Braunschweig, Institute of Finance.
    • Handle: RePEc:zbw:tbsifw:fw01v4
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    References listed on IDEAS

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    1. Prakash, Arun J & Bear, Robert M, 1986. "A Simplifying Performance Measure Recognizing Skewness," The Financial Review, Eastern Finance Association, vol. 21(1), pages 135-144, February.
    2. Chunhachinda, Pornchai & Dandapani, Krishnan & Hamid, Shahid & Prakash, Arun J., 1997. "Portfolio selection and skewness: Evidence from international stock markets," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 143-167, February.
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    5. Hlawitschka, Walter, 1994. "The Empirical Nature of Taylor-Series Approximations to Expected Utility," American Economic Review, American Economic Association, vol. 84(3), pages 713-719, June.
    6. Wolfgang Breuer & Marc Gürtler, 2001. "Hedging in Incomplete Markets: An Approximation Procedure for Practical Application," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 21(7), pages 599-631, July.
    7. William F. Sharpe, 1965. "Mutual Fund Performance," The Journal of Business, University of Chicago Press, vol. 39, pages 119-119.
    8. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
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    15. Kroll, Yoram & Levy, Haim & Markowitz, Harry M, 1984. "Mean-Variance versus Direct Utility Maximization," Journal of Finance, American Finance Association, vol. 39(1), pages 47-61, March.
    16. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
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    18. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
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    2. Çanakoglu, Ethem & Özekici, Süleyman, 2010. "Portfolio selection in stochastic markets with HARA utility functions," European Journal of Operational Research, Elsevier, vol. 201(2), pages 520-536, March.
    3. Breuer, Wolfgang & Gürtler, Marc, 2004. "Two-Fund separation and positive marginal utility," Working Papers FW11V3, Technische Universität Braunschweig, Institute of Finance.

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    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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