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The skewness risk premium in equilibrium and stock return predictability

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  • Hiroshi Sasaki

    (Mizuho-DL Financial Technology Co., Ltd.)

Abstract

In this study, we investigate the skewness risk premium in the financial market under a general equilibrium setting. Extending the long-run risks (LRR) model proposed by Bansal and Yaron (J Financ 59:1481–1509, 2004) by introducing a stochastic jump intensity for jumps in the LRR factor and the variance of consumption growth rate, we provide an explicit representation for the skewness risk premium, as well as the volatility risk premium, in equilibrium. On the basis of the representation for the skewness risk premium, we propose a possible reason for the empirical facts of time-varying and negative risk-neutral skewness. Moreover, we also provide an equity risk premium representation of a linear factor pricing model with the variance and skewness risk premiums. The empirical results imply that the skewness risk premium, as well as the variance risk premium, has superior predictive power for future aggregate stock market index returns, which are consistent with the theoretical implication derived by our model. Compared with the variance risk premium, the results show that the skewness risk premium plays an independent and essential role for predicting the market index returns.

Suggested Citation

  • Hiroshi Sasaki, 2016. "The skewness risk premium in equilibrium and stock return predictability," Annals of Finance, Springer, vol. 12(1), pages 95-133, February.
    • Handle: RePEc:kap:annfin:v:12:y:2016:i:1:d:10.1007_s10436-016-0275-7
    DOI: 10.1007/s10436-016-0275-7
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    References listed on IDEAS

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    8. Yan, Shu, 2011. "Jump risk, stock returns, and slope of implied volatility smile," Journal of Financial Economics, Elsevier, vol. 99(1), pages 216-233, January.
    9. Chang, Bo Young & Christoffersen, Peter & Jacobs, Kris, 2013. "Market skewness risk and the cross section of stock returns," Journal of Financial Economics, Elsevier, vol. 107(1), pages 46-68.
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    11. 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.
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    Cited by:

    1. Finta, Marinela Adriana & Aboura, Sofiane, 2020. "Risk premium spillovers among stock markets: Evidence from higher-order moments," Journal of Financial Markets, Elsevier, vol. 49(C).
    2. Luca Gambarelli & Silvia Muzzioli, 2019. "Risk-asymmetry indices in Europe," Department of Economics 0157, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    3. Felix Brinkmann & Olaf Korn, 2018. "Risk-adjusted option-implied moments," Review of Derivatives Research, Springer, vol. 21(2), pages 149-173, July.
    4. Elyas Elyasiani & Luca Gambarelli & Silvia Muzzioli, 2018. "The Risk-Asymmetry Index as a new Measure of Risk," Multinational Finance Journal, Multinational Finance Journal, vol. 22(3-4), pages 173-210, September.
    5. Elyasiani, Elyas & Gambarelli, Luca & Muzzioli, Silvia, 2020. "Moment risk premia and the cross-section of stock returns in the European stock market," Journal of Banking & Finance, Elsevier, vol. 111(C).
    6. Elyas Elyasiani & Luca Gambarelli & Silvia Muzzioli, 2018. "The use of option prices in order to evaluate the skewness risk premium," Department of Economics 0132, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    7. Cipollini, Andrea & Lo Cascio, Iolanda & Muzzioli, Silvia, 2018. "Risk aversion connectedness in five European countries," Economic Modelling, Elsevier, vol. 71(C), pages 68-79.
    8. Elyas Elyasiani & Luca Gambarelli & Silvia Muzzioli, 2018. "The properties of a skewness index and its relation with volatility and returns," Department of Economics 0133, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    9. George Chalamandaris & Leonidas S. Rompolis, 2021. "Recovering the market risk premium from higher‐order moment risks," European Financial Management, European Financial Management Association, vol. 27(1), pages 147-186, January.

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    More about this item

    Keywords

    Long-run risks model; Epstein–Zin preferences; Variance risk premium; Skewness risk premium; Stock return predictability; Stochastic volatility; Volatility of volatility; Jump intensity;
    All these keywords.

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • D - Microeconomics
    • G - Financial Economics

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