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Along but beyond mean-variance: Utility maximization in a semimartingale model

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  • Huhtala, Heli

Abstract

It is well known that under certain assumptions the strategy of an investor maximizing his expected utility coincides with the mean-variance optimal strategy. In this paper we show that the two strategies are not equal in general and find the connection between a utility maximizing and a mean-variance optimal strategy in a continuous semimartingale model. That is done by showing that the utility maximizing strategy of a CARA investor can be expressed in terms of expectation and the expected quadratic variation of the underlying price process. It coincides with the mean-variance optimal strategy if the underlying price process is a local martingale.

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  • Huhtala, Heli, 2008. "Along but beyond mean-variance: Utility maximization in a semimartingale model," Bank of Finland Research Discussion Papers 5/2008, Bank of Finland.
    • Handle: RePEc:zbw:bofrdp:rdp2008_005
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    More about this item

    Keywords

    mean-variance portfolios; utility maximization; dynamic portfolio selection; quadratic variation;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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