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Does Portfolio Optimization Pay?


  • Günter Franke

    () (Department of Economics, University of Konstanz, Germany)

  • Ferdinand Graf

    () (Department of Economics, University of Konstanz, Germany)


All HARA-utility investors with the same exponent invest in a single risky fund and the risk-free asset. In a continuous time-model stock proportions are proportional to the inverse local relative risk aversion of the investor (1/γ-rule). This paper analyses the conditions under which the optimal buy and holdportfolio of a HARA-investor can be approximated by the optimal portfolio of an investor with some low level of constant relative risk aversion using the 1/γ-rule. It turns out that the approximation works very well in markets without approximate arbitrage opportunities. In markets with high equity premiums this approximation may be of low quality.

Suggested Citation

  • Günter Franke & Ferdinand Graf, 2011. "Does Portfolio Optimization Pay?," Working Paper Series of the Department of Economics, University of Konstanz 2011-19, Department of Economics, University of Konstanz.
  • Handle: RePEc:knz:dpteco:1119

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    References listed on IDEAS

    1. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
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    More about this item


    HARA-utility; portfolio choice; certainty equivalent; approximated choice;

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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