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The Robustness of Risk-Return Nonlinearities to the Normality Assumption

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  • Carroll, Carolyn
  • Thistle, Paul D.
  • Wei, K. C. John

Abstract

In a recent study, Tinic and West (1986) empirically reexamine the risk-return relationship posited by the traditional mean-variance CAPM. They find a positive nonlinear relationship between risk and return, except during January when the market rewards bearing nonsystematic risk. This study examines the hypothesis that nonnormality of return distributions may account for some of these anomalous results. We compare Shalit and Yitzhaki's (1984) mean-extended Gini CAPM—an equilibrium asset pricing relation that is independent of the form of the underlying asset distribution—with the traditional CAPM. Our results indicate that the nonlinear risk-return relationship and the size and January effects are robust to nonnormality of return distributions.

Suggested Citation

  • Carroll, Carolyn & Thistle, Paul D. & Wei, K. C. John, 1992. "The Robustness of Risk-Return Nonlinearities to the Normality Assumption," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(3), pages 419-435, September.
    • Handle: RePEc:cup:jfinqa:v:27:y:1992:i:03:p:419-435_00
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    Cited by:

    1. Haim Shalit & Shlomo Yitzhaki, 2010. "How does beta explain stochastic dominance efficiency?," Review of Quantitative Finance and Accounting, Springer, vol. 35(4), pages 431-444, November.
    2. Chen, Tsung-Cheng & Chien, Chin-Chen, 2011. "Size effect in January and cultural influences in an emerging stock market: The perspective of behavioral finance," Pacific-Basin Finance Journal, Elsevier, vol. 19(2), pages 208-229, April.
    3. Darren Butterworth & Phil Holmes, 2005. "The Hedging Effectiveness of U.K. Stock Index Futures Contracts Using an Extended Mean Gini Approach: Evidence for the FTSE 100 and FTSE Mid250 Contracts," Multinational Finance Journal, Multinational Finance Journal, vol. 9(3-4), pages 131-160, September.
    4. Haim Shalit & Shlomo Yitzhaki, 2009. "Capital market equilibrium with heterogeneous investors," Quantitative Finance, Taylor & Francis Journals, vol. 9(6), pages 757-766.
    5. Devaney, Michael, 2001. "Time varying risk premia for real estate investment trusts: A GARCH-M model," The Quarterly Review of Economics and Finance, Elsevier, vol. 41(3), pages 335-346.

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