Skewness preference, mean-variance and the demand for put options
This paper compares the mean-variance and the mean-variance-skewness approaches to modelling expected utility. Attention is focused on a problem encountered in risk management: determining the optimal demand for a put option hedging the return on an asset with a negatively skewed return distribution. It is demonstrated theoretically that incorporating positive skewness preference into the decision-maker's objective function typically produces a reduction in the demand for put options when compared with the mean-variance solution. A state-dependent example is provided to illustrate how a mean-variance-skewness objective can result in a significant reduction in the optimal amount of crop insurance demanded when compared with the mean-variance solution. Copyright © 1999 John Wiley & Sons, Ltd.
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Volume (Year): 20 (1999)
Issue (Month): 6 ()
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- Levy, H & Markowtiz, H M, 1979. "Approximating Expected Utility by a Function of Mean and Variance," American Economic Review, American Economic Association, vol. 69(3), pages 308-17, June.
- 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.
- Ormiston, Michael B & Quiggin, John, 1993. "Two-Parameter Decision Models and Rank-Dependent Expected Utility," Journal of Risk and Uncertainty, Springer, vol. 7(3), pages 273-82, December.
- Loistl, Otto, 1976. "The Erroneous Approximation of Expected Utility by Means of a Taylor's Series Expansion: Analytic and Computational Results," American Economic Review, American Economic Association, vol. 66(5), pages 904-10, December.
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