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Comoment risk and stock returns

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  • Lambert, M.
  • Hübner, G.

Abstract

We estimate investable comoment equity risk premiums for the US markets. The stock's contribution to the asymmetry and the fat tails of the market portfolio's payoff are priced into a coskewness premium and a cokurtosis premium. We construct zero-investment strategies that are long and short in coskewness and cokurtosis equity risks; we infer from the spread the returns attached to a unit exposure to US equity coskewness and cokurtosis. The coskewness and cokurtosis premiums present positive monthly average returns of 0.27% and 0.14% from January 1959 to December 2011. Comoment risks appear to be significantly priced within the US stock market and display significant explanatory power regarding the US size and book-to-market effects. The premiums do not subsume, but rather complement the empirical capital asset pricing model. Our analysis relies on data collected from CRSP (Chicago Research Center for Security Prices) over December 1955 to December 2011. To our knowledge, the paper is the first to propose investable higher-moment risk factors over such an extensive time period.

Suggested Citation

  • Lambert, M. & Hübner, G., 2013. "Comoment risk and stock returns," Journal of Empirical Finance, Elsevier, vol. 23(C), pages 191-205.
  • Handle: RePEc:eee:empfin:v:23:y:2013:i:c:p:191-205
    DOI: 10.1016/j.jempfin.2013.07.001
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    1. Markus K. Brunnermeier & Jonathan A. Parker, 2005. "Optimal Expectations," American Economic Review, American Economic Association, vol. 95(4), pages 1092-1118, September.
    2. Barone-Adesi, Giovanni, 1985. "Arbitrage Equilibrium with Skewed Asset Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(3), pages 299-313, September.
    3. Jennifer Conrad & Robert F. Dittmar & Eric Ghysels, 2013. "Ex Ante Skewness and Expected Stock Returns," Journal of Finance, American Finance Association, vol. 68(1), pages 85-124, February.
    4. Nicholas Barberis & Ming Huang, 2008. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," American Economic Review, American Economic Association, vol. 98(5), pages 2066-2100, December.
    5. Arditti, Fred D, 1969. "A Utility Function Depending on the First Three Moments: Reply," Journal of Finance, American Finance Association, vol. 24(4), pages 720-720, September.
    6. 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.
    7. Brian Boyer & Todd Mitton & Keith Vorkink, 2010. "Expected Idiosyncratic Skewness," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 169-202, January.
    8. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    9. 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.
    10. Markus K. Brunnermeier & Jonathan A. Parker & Christian Gollier, 2007. "Optimal Beliefs, Asset Prices, and the Preference for Skewed Returns," American Economic Review, American Economic Association, vol. 97(2), pages 159-165, May.
    11. Hwang, Soosung & Satchell, Stephen E, 1999. "Modelling Emerging Market Risk Premia Using Higher Moments," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(4), pages 271-296, October.
    12. Y. Peter Chung & Michael J. Schill, 2006. "Asset Pricing When Returns Are Nonnormal: Fama-French Factors versus Higher-Order Systematic Comoments," The Journal of Business, University of Chicago Press, vol. 79(2), pages 923-940, March.
    13. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    14. Fang, Hsing & Lai, Tsong-Yue, 1997. "Co-Kurtosis and Capital Asset Pricing," The Financial Review, Eastern Finance Association, vol. 32(2), pages 293-307, May.
    15. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    16. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
    17. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    18. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
    19. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    20. Daniel Chi‐Hsiou Hung & Mark Shackleton & Xinzhong Xu, 2004. "CAPM, Higher Co‐moment and Factor Models of UK Stock Returns," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 31(1‐2), pages 87-112, January.
    21. Jean, William H., 1971. "The Extension of Portfolio Analysis to Three or More Parameters," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(1), pages 505-515, January.
    22. Daniel Chi‐Hsiou Hung & Mark Shackleton & Xinzhong Xu, 2004. "CAPM, Higher Co‐moment and Factor Models of UK Stock Returns," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 31(1‐2), pages 87-112, January.
    23. Bill Ding & Hany A. Shawky, 2007. "The Performance of Hedge Fund Strategies and the Asymmetry of Return Distributions," European Financial Management, European Financial Management Association, vol. 13(2), pages 309-331, March.
    24. Fred D. Arditti, 1967. "Risk And The Required Return On Equity," Journal of Finance, American Finance Association, vol. 22(1), pages 19-36, March.
    25. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    26. Levy, Haim, 1969. "A Utility Function Depending on the First Three Moments: Comment," Journal of Finance, American Finance Association, vol. 24(4), pages 715-719, September.
    27. 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 915-919, September.
    28. Giovanni Barone Adesi & Patrick Gagliardini & Giovanni Urga, 2004. "Testing Asset Pricing Models With Coskewness," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 474-485, October.
    29. Chi-Hsiou Hung, 2007. "Momentum, Size and Value Factors versus Systematic Co-moments in Stock Returns," Working Papers 2007_02, Durham University Business School.
    30. Badrinath, S G & Chatterjee, Sangit, 1988. "On Measuring Skewness and Elongation in Common Stock Return Distributions: The Case of the Market Index," The Journal of Business, University of Chicago Press, vol. 61(4), pages 451-472, October.
    31. Pettengill, Glenn N. & Sundaram, Sridhar & Mathur, Ike, 1995. "The Conditional Relation between Beta and Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(1), pages 101-116, March.
    32. Duong Nguyen & Tribhuvan N. Puri, 2009. "Higher‐Order Systematic Comoments and Asset Pricing: New Evidence," The Financial Review, Eastern Finance Association, vol. 44(3), pages 345-369, August.
    33. Rubinstein, Mark E., 1973. "The Fundamental Theorem of Parameter-Preference Security Valuation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(1), pages 61-69, January.
    34. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    35. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    36. Peiro, Amado, 1999. "Skewness in financial returns," Journal of Banking & Finance, Elsevier, vol. 23(6), pages 847-862, June.
    37. Todd Mitton & Keith Vorkink, 2007. "Equilibrium Underdiversification and the Preference for Skewness," The Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1255-1288.
    38. Stephen Satchell & David Damant & Soosung Hwang, 2000. "Exponential risk measure with application to UK asset allocation," Applied Mathematical Finance, Taylor & Francis Journals, vol. 7(2), pages 127-152.
    39. Potì, Valerio & Wang, DengLi, 2010. "The coskewness puzzle," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1827-1838, August.
    40. Kaifeng CHEN & Alexander PASSOW, 2003. "Quantitative Selection of Long-Short Hedge Funds," FAME Research Paper Series rp94, International Center for Financial Asset Management and Engineering.
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    More about this item

    Keywords

    Comoment; Hedge portfolio; Equity risk; Fama–MacBeth test;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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