A Coronavirus Asset Pricing Model: The Role of Skewness

Delis, Manthos and Savva, Christos and Theodossiou, Panayiotis (2020): A Coronavirus Asset Pricing Model: The Role of Skewness.

Abstract

We study an equilibrium risk and return model to explore the effects of the coronavirus crisis and associated skewness. We derive the moment and equilibrium equations, specifying skew-ness price of risk as an additive component of the effect of variance on mean expected return. We estimate our model using the flexible skewed generalized error distribution, for which we derive the distribution of returns and the likelihood function. Using S&P 500 Index returns from January 1990 to mid-May 2020, our results show that the coronavirus crisis generated the most negative reaction in the skewness price of risk, more negative even than the subprime crisis.

• Item Type: MPRA Paper
• Language: English
• Keywords: Asset pricing; Risk and return; Skewness; Coronavirus crisis; Subprime crisis
• Subjects: C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C32 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models; C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation; G - Financial Economics > G0 - General > G01 - Financial Crises; G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions; G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates

References

Berndt, E., Hall, B., Hall, R., Hausman, J., 1974. Estimation and Inference in Nonlinear Structural Models. Annals of Economic and Social Measurement 3, 653–665.

Bollerslev, T.P. , Wooldridge, J.M., 1992. Quasi-Maximum Likelihood Estimation of Dynamic Models with Time-Varying Covariances. Econometric Reviews 11, 143–1722.

Chan, K., Marsh, T., 2020. The Asset Markets and the Coronavirus Pandemic. VOX CEPR Policy Portal. Available at https://voxeu.org/article/asset-markets-and-coronavirus-pandemic.

Davidson, R., MacKinnon, J.G., 1993. Estimation and Inference in Econometrics. Oxford University Press, Oxford, UK.

Engle, R.F., Lilien, D.M., Robins, R.P., 1987. Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model. Econometrica 55, 391–407.

Engle, R., Gonzalez-Rivera, G., 1991. Semiparametric ARCH Models. Journal of Business and Economics Statistics 9, 345–359.

Feunou, B., Jahan-Parvar, M.R., Tédongap, R., 2012. Modeling Market Downside Volatility. Review of Finance 17, 443–481.

French, K.R., Schwert, G.W., Stambaugh, R.F, 1987. Expected stock returns and volatility. Journal of Financial Economics 19, 3–29.

Glosten, L.R., Jagannathan, R., Runkle, D.E., 1993. On the relation between the expected value and the volatility of the nominal return on stocks. Journal of Finance 48, 1779–801.

Hansen, B.E., 1994. Autoregressive Conditional Density Estimation. International Economic Review 35, 705–730.

Mazur, B., Pipień, M., 2018. Time-Varying Asymmetry and Tail Thickness in Long Series of Daily Financial Returns. Studies in Nonlinear Dynamics and Econometrics 22, 1–21.

McDonald, J. B. and Newey, W. K. (1988). Partially adaptive estimation of regression models via the generalized t distribution. Econometric Theory, 4: 428-457.

McDonald, J.B., Xu, Y.J., 1995. A Generalization of the Beta Distribution with Applications. Journal of Econometrics 66, 133–152.

Rapach, D., Wohar, M.E., 2009. Multi-Period Portfolio Choice and the Intertemporal Hedging Demands for Stocks and Bonds: International Evidence. Journal of International Money and Finance 28, 427–453.

Roon, F., Karehnke, P., 2017. A Simple Skewed Distribution with Asset Pricing Applications. Review of Finance 21, 2169–2197.

Savva, C., Theodossiou, P., 2018. The Risk and Return Conundrum Explained: International Evidence. Journal of Financial Econometrics 16, 486–521.

Sun H., Yu, B. 2020. Volatility Asymmetry in Functional Threshold GARCH model. Journal of Time Series Analysis 41, 95-109.

Theodossiou, P., 1998. Financial Data and the Skewed Generalized t Distribution. Management Science 44, 1650–1661.

Theodossiou P. 2015. Skewed Generalized Error Distribution of Financial Assets and Option Pricing. Multinational Finance Journal 19 (4): 223-266. Initially posted as an SSRN working paper in 2000, http://papers.ssrn.com/sol3/papers.cfm?abstract_id=219679.

Theodossiou, P., Savva, C., 2016. Skewness and the Relation between Risk and Return. Management Science 62, 1598–1609.