Increases in skewness and three-moment preferences
We call an agent skewness affine if and only if his marginal willingness to accept a risk increases when the distribution of the risk becomes more skewed to the right. Skewness affinity is shown to be equivalent to the marginal rate of substitution between mean and variance of wealth being decreasing in the skewness. This property allows us to characterize the comparative static effect of increases in the skewness in quasi-linear decision problems. Over domains of skewness-comparable lotteries skewness affinity is equivalent to the von Neumann-Morgenstern utility index of relative temperance being smaller than three.
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- EECKHOUDT, Louis & ETNER, Johanna & SCHROYEN, Fred, .
"The values of relative risk aversion and prudence: A context-free interpretation,"
CORE Discussion Papers RP
-2162, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Eeckhoudt, Louis & Etner, Johanna & Schroyen, Fred, 2009. "The values of relative risk aversion and prudence: A context-free interpretation," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 1-7, July.
- Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
- Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
- Thomas A. Garrett & Nalinaksha Bhattacharyya, 2006.
"Why people choose negative expected return assets - an empirical examination of a utility theoretic explanation,"
2006-014, Federal Reserve Bank of St. Louis.
- N. Bhattacharya & T. A. Garrett, 2008. "Why people choose negative expected return assets - an empirical examination of a utility theoretic explanation," Applied Economics, Taylor & Francis Journals, vol. 40(1), pages 27-34.
- Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-30, June.
- Scott, Robert C & Horvath, Philip A, 1980. " On the Direction of Preference for Moments of Higher Order Than the Variance," Journal of Finance, American Finance Association, vol. 35(4), pages 915-19, September.
- Lajeri-Chaherli, Fatma, 2003. "Partial derivatives, comparative risk behavior and concavity of utility functions," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 81-99, August.
- EECKHOUDT, Louis & SCHLESINGER, Harris, .
"Changes in risk and the demand for saving,"
CORE Discussion Papers RP
-2100, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Ormiston, Michael B & Schlee, Edward E, 2001. "Mean-Variance Preferences and Investor Behaviour," Economic Journal, Royal Economic Society, vol. 111(474), pages 849-61, October.
- 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.
- Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-32, December.
- Joseph Golec & Maurry Tamarkin, 1998. "Bettors Love Skewness, Not Risk, at the Horse Track," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 205-225, February.
- Peter C. Fishburn & R. Burr Porter, 1976. "Optimal Portfolios with One Safe and One Risky Asset: Effects of Changes in Rate of Return and Risk," Management Science, INFORMS, vol. 22(10), pages 1064-1073, June.
- Ehrlich, Isaac & Becker, Gary S, 1972. "Market Insurance, Self-Insurance, and Self-Protection," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 623-48, July-Aug..
- Josef Hadar & Tae Kun Seo, 1992. "A Note on Beneficial Changes in Random Variables," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 17(2), pages 171-179, December.
- Thomas Paulsson & Robert Sproule & Andreas Wagener, 2005. "The Demand For A Risky Asset: Signing, Jointly And Separately, The Effects Of Three Distributional Shifts," Metroeconomica, Wiley Blackwell, vol. 56(2), pages 221-232, 05.
- Wang, Jianli & Li, Jingyuan, 2010. "Multiplicative risk apportionment," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 79-81, July.
- Epstein, Larry G, 1985. "Decreasing Risk Aversion and Mean-Variance Analysis," Econometrica, Econometric Society, vol. 53(4), pages 945-61, July.
- Luisa Tibiletti, 1995. "Beneficial changes in random variables via copulas: An application to insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 20(2), pages 191-202, December.
- Prakash, Arun J. & Chang, Chun-Hao & Pactwa, Therese E., 2003. "Selecting a portfolio with skewness: Recent evidence from US, European, and Latin American equity markets," Journal of Banking & Finance, Elsevier, vol. 27(7), pages 1375-1390, July.
- Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, 06.
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