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Good Approximation of Exponential Utility Function for Optimal Futures Hedging

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  • Guo, Xu
  • Lien, Donald
  • Wong, Wing-Keung

Abstract

To get optimal production and hedging decision with normal random variables, Lien (2008) compares the exponential utility function with its second order approximation. In this paper, we first extend the theory further by comparing the exponential utility function with a n-order approximation for any integer n. We then propose an approach with illustration how to get the least n one could choose to get a good approximation.

Suggested Citation

  • Guo, Xu & Lien, Donald & Wong, Wing-Keung, 2015. "Good Approximation of Exponential Utility Function for Optimal Futures Hedging," MPRA Paper 66841, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:66841
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    File URL: https://mpra.ub.uni-muenchen.de/66841/1/MPRA_paper_66841.pdf
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    References listed on IDEAS

    as
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    3. Scott Gilbert & Samuel Kyle Jones & Gay Hatfield Morris, 2006. "The impact of skewness in the hedging decision," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(5), pages 503-520, May.
    4. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(4), pages 537-542.
    5. Tsiang, S C, 1972. "The Rationale of the Mean-Standard Deviation Analysis, Skewness Preference, and the Demand for Money," American Economic Review, American Economic Association, vol. 62(3), pages 354-371, June.
    6. Pulley, Lawrence B., 1981. "A General Mean-Variance Approximation to Expected Utility for Short Holding Periods," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 361-373, September.
    7. 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.
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    More about this item

    Keywords

    Exponential utility; optimal production; hedging; approximation;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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