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Risk aversion and skewness preference

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  • Post, Thierry
  • van Vliet, Pim
  • Levy, Haim

Abstract

Empirically, co-skewness of asset returns seems to explain a substantial part of the cross-sectional variation of mean return not explained by beta. This finding is typically interpreted in terms of a risk averse representative investor with a cubic utility function. This paper questions this interpretation. We show that the empirical tests fail to impose risk aversion and the implied utility function takes an inverse S-shape. Unfortunately, the first-order conditions are not sufficient to guarantee that the market portfolio is the global maximum for this utility function, and our results suggest that the market portfolio is more likely to represent the global minimum. In addition, if we do impose risk aversion, then co-skewness has minimal explanatory power.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Banking & Finance.

Volume (Year): 32 (2008)
Issue (Month): 7 (July)
Pages: 1178-1187

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Handle: RePEc:eee:jbfina:v:32:y:2008:i:7:p:1178-1187

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  9. Thierry Post & Haim Levy, 2002. "Does Risk Seeking drive Asset Prices?," Tinbergen Institute Discussion Papers 02-070/2, Tinbergen Institute.
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Citations

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Cited by:
  1. Zakamouline, Valeri & Koekebakker, Steen, 2009. "Portfolio performance evaluation with generalized Sharpe ratios: Beyond the mean and variance," Journal of Banking & Finance, Elsevier, vol. 33(7), pages 1242-1254, July.
  2. Grauer, Robert R. & Janmaat, Johannus A., 2010. "Cross-sectional tests of the CAPM and Fama-French three-factor model," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 457-470, February.
  3. Levy, Haim & Levy, Moshe, 2009. "The safety first expected utility model: Experimental evidence and economic implications," Journal of Banking & Finance, Elsevier, vol. 33(8), pages 1494-1506, August.
  4. Massimo Guidolin & Allan Timmermann, 2008. "International asset allocation under regime switching, skew, and kurtosis preferences," Review of Financial Studies, Society for Financial Studies, vol. 21(2), pages 889-935, April.
  5. Post, G.T., 2003. "Asset prices and omitted moments; A stochastic dominance analysis of market efficiency," ERIM Report Series Research in Management ERS-2003-017-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
  6. Annaert, Jan & Osselaer, Sofieke Van & Verstraete, Bert, 2009. "Performance evaluation of portfolio insurance strategies using stochastic dominance criteria," Journal of Banking & Finance, Elsevier, vol. 33(2), pages 272-280, February.
  7. Dirk Broeders & An Chen, 2008. "Pension regulation and the market value of pension liabilities - a contingent claims analysis using Parisian options," DNB Working Papers 183, Netherlands Central Bank, Research Department.
  8. Kostakis, Alexandros & Muhammad, Kashif & Siganos, Antonios, 2012. "Higher co-moments and asset pricing on London Stock Exchange," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 913-922.
  9. Díaz, Antonio & González, María de la O & Navarro, Eliseo & Skinner, Frank S., 2009. "An evaluation of contingent immunization," Journal of Banking & Finance, Elsevier, vol. 33(10), pages 1874-1883, October.
  10. Hwang, Soosung & Satchell, Steve E., 2010. "How loss averse are investors in financial markets?," Journal of Banking & Finance, Elsevier, vol. 34(10), pages 2425-2438, October.
  11. Moreno, David & Rodríguez, Rosa, 2009. "The value of coskewness in mutual fund performance evaluation," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1664-1676, September.
  12. Ortas, Eduardo & Moneva, José M. & Salvador, Manuel, 2012. "Does socially responsible investment equity indexes in emerging markets pay off? Evidence from Brazil," Emerging Markets Review, Elsevier, vol. 13(4), pages 581-597.
  13. Eikseth, Hans Marius & Lindset, Snorre, 2009. "A note on capital asset pricing and heterogeneous taxes," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 573-577, March.
  14. repec:hal:journl:halshs-00336475 is not listed on IDEAS
  15. Javid, Attiya Yasmin, 2009. "Test of Higher Moment Capital Asset Pricing Model in Case of Pakistani Equity Market," MPRA Paper 38059, University Library of Munich, Germany.
  16. Hwang, Young-Soon & Min, Hong-Ghi & McDonald, Judith A. & Kim, Hwagyun & Kim, Bong-Han, 2010. "Using the credit spread as an option-risk factor: Size and value effects in CAPM," Journal of Banking & Finance, Elsevier, vol. 34(12), pages 2995-3009, December.
  17. Cumova, Denisa & Nawrocki, David, 2014. "Portfolio optimization in an upside potential and downside risk framework," Journal of Economics and Business, Elsevier, vol. 71(C), pages 68-89.
  18. Anthonisz, Sean A., 2012. "Asset pricing with partial-moments," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2122-2135.
  19. Ephraim Clark & Konstantinos Kassimatis, 2013. "International equity flows, marginal conditional stochastic dominance and diversification," Review of Quantitative Finance and Accounting, Springer, vol. 40(2), pages 251-271, February.
  20. Fabio Pizzutilo, 2012. "Use of the Pearson System of Frequency Curves for the Analysis of Stock Return Distributions: Evidence and Implications for the Italian Market," Economics Bulletin, AccessEcon, vol. 32(1), pages 272-281.
  21. Potì, Valerio & Wang, DengLi, 2010. "The coskewness puzzle," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1827-1838, August.

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