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Asymmetric signals and skewness

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  • Zhen, Fang

Abstract

This paper develops a model for analyzing skewness in returns when an investor observes a novel skew-normally distributed signal about a risky asset's payoff. The equilibrium third moment increases with the signal's skewness, and its magnitude increases with the signal's noisiness. Using institutional ownership and market capitalization as proxies for information precision, we find that both proxies are significantly and negatively correlated with the future absolute third moment in firm returns in China. We show that these relations are mainly driven by the negative third moment. The two proxies are positively correlated with future skewness, which contradicts the corresponding relations found in the US. Our model can reconcile the opposite findings if the US evidence is driven by positive skewness. This paper suggests that it is more appropriate to forecast positive and negative skewness separately when using information-precision proxies.

Suggested Citation

  • Zhen, Fang, 2020. "Asymmetric signals and skewness," Economic Modelling, Elsevier, vol. 90(C), pages 32-42.
  • Handle: RePEc:eee:ecmode:v:90:y:2020:i:c:p:32-42
    DOI: 10.1016/j.econmod.2020.04.026
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    1. Dennis, Patrick & Mayhew, Stewart, 2002. "Risk-Neutral Skewness: Evidence from Stock Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(3), pages 471-493, September.
    2. Davide Valenti & Giorgio Fazio & Bernardo Spagnolo, 2017. "The stabilizing effect of volatility in financial markets," Papers 1708.08695, arXiv.org.
    3. Harrison Hong & Jeremy C. Stein, 2003. "Differences of Opinion, Short-Sales Constraints, and Market Crashes," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 487-525.
    4. Jondeau, Eric & Zhang, Qunzi & Zhu, Xiaoneng, 2019. "Average skewness matters," Journal of Financial Economics, Elsevier, vol. 134(1), pages 29-47.
    5. Jin E. Zhang & Fang Zhen & Xiaoxia Sun & Huimin Zhao, 2017. "The Skewness Implied in the Heston Model and Its Application," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 37(3), pages 211-237, March.
    6. 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.
    7. Chen, Joseph & Hong, Harrison & Stein, Jeremy C., 2001. "Forecasting crashes: trading volume, past returns, and conditional skewness in stock prices," Journal of Financial Economics, Elsevier, vol. 61(3), pages 345-381, September.
    8. Easley, David & O'Hara, Maureen & Paperman, Joseph, 1998. "Financial analysts and information-based trade," Journal of Financial Markets, Elsevier, vol. 1(2), pages 175-201, August.
    9. Das, Sanjiv Ranjan & Sundaram, Rangarajan K., 1999. "Of Smiles and Smirks: A Term Structure Perspective," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(2), pages 211-239, June.
    10. Riccardo Colacito & Eric Ghysels & Jinghan Meng & Wasin Siwasarit, 2016. "Skewness in Expected Macro Fundamentals and the Predictability of Equity Returns: Evidence and Theory," The Review of Financial Studies, Society for Financial Studies, vol. 29(8), pages 2069-2109.
    11. Amaya, Diego & Christoffersen, Peter & Jacobs, Kris & Vasquez, Aurelio, 2015. "Does realized skewness predict the cross-section of equity returns?," Journal of Financial Economics, Elsevier, vol. 118(1), pages 135-167.
    12. Xu, Nianhang & Li, Xiaorong & Yuan, Qingbo & Chan, Kam C., 2014. "Excess perks and stock price crash risk: Evidence from China," Journal of Corporate Finance, Elsevier, vol. 25(C), pages 419-434.
    13. James A. Bennett, 2003. "Greener Pastures and the Impact of Dynamic Institutional Preferences," The Review of Financial Studies, Society for Financial Studies, vol. 16(4), pages 1203-1238.
    14. Rui Albuquerque, 2012. "Skewness in Stock Returns: Reconciling the Evidence on Firm Versus Aggregate Returns," The Review of Financial Studies, Society for Financial Studies, vol. 25(5), pages 1630-1673.
    15. 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.
    16. 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.
    17. Chen, Zhian & Du, Jinmin & Li, Donghui & Ouyang, Rui, 2013. "Does foreign institutional ownership increase return volatility? Evidence from China," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 660-669.
    18. Xu, Nianhang & Jiang, Xuanyu & Chan, Kam C. & Yi, Zhihong, 2013. "Analyst coverage, optimism, and stock price crash risk: Evidence from China," Pacific-Basin Finance Journal, Elsevier, vol. 25(C), pages 217-239.
    19. Liao, Li & Liu, Bibo & Wang, Hao, 2014. "China׳s secondary privatization: Perspectives from the Split-Share Structure Reform," Journal of Financial Economics, Elsevier, vol. 113(3), pages 500-518.
    20. John R. Nofsinger & Richard W. Sias, 1999. "Herding and Feedback Trading by Institutional and Individual Investors," Journal of Finance, American Finance Association, vol. 54(6), pages 2263-2295, December.
    21. Zhen Fang & Zhang Jin E., 2020. "Dissecting skewness under affine jump-diffusions," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 24(4), pages 1-19, September.
    22. 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.
    23. 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.
    24. Jianguo Xu, 2007. "Price Convexity and Skewness," Journal of Finance, American Finance Association, vol. 62(5), pages 2521-2552, October.
    25. Friesen, Geoffrey C. & Zhang, Yi & Zorn, Thomas S., 2012. "Heterogeneous Beliefs and Risk-Neutral Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(4), pages 851-872, August.
    26. Langlois, Hugues, 2020. "Measuring skewness premia," Journal of Financial Economics, Elsevier, vol. 135(2), pages 399-424.
    27. 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.
    28. 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.
    29. Bali, Turan G. & Murray, Scott, 2013. "Does Risk-Neutral Skewness Predict the Cross-Section of Equity Option Portfolio Returns?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(4), pages 1145-1171, August.
    30. Liu, Zhangxin (Frank) & Faff, Robert, 2017. "Hitting SKEW for SIX," Economic Modelling, Elsevier, vol. 64(C), pages 449-464.
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    More about this item

    Keywords

    Skew-normal signals; Skewness; Institutional ownership;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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