Empirical evidence of systemic tail risk premium in the Johannesburg Stock Exchange

Kouadio, Jean Joel and Mwamba, Muteba and Bonga-Bonga, Lumengo (2019): Empirical evidence of systemic tail risk premium in the Johannesburg Stock Exchange.

Abstract

This paper assesses the impact of systematic tail risk of stocks, defined as a stock’s exposure to market tail events, on the cross section returns of an emerging stock exchange, especially the Johannesburg Stock Exchange (JSE) from January 2002 through June 2018. If stock market investors are crash-averse, then holding stocks that experience high exposure to market tail events should be rewarded with a premium. The paper therefore sets out to determine whether high exposure to market tail events translates into higher returns of stocks traded on the JSE. To achieve this objective, the study extends on the work of Chabi-Yo, Ruenzi and Weigert (2015) based on extreme value theory (EVT) and copula models as well as the traditional asset pricing tools of portfolio formation and cross-sectional regressions. The results of the empirical analysis support the existence of a systematic tail risk premium in the JSE. Interestingly, the effect of systematic tail risk on the cross section of JSE returns is time-varying and independent from that of risk measures such as beta and downside beta and firm characteristics such as book-to-market (BTM) ratio, size and past returns. In addition, the study provides evidence on the impact of financial crises on crash aversion.

• Item Type: MPRA Paper
• Language: English
• Keywords: systematic tail risk, stock exchange, extreme value theory, copula
• Subjects: C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C46 - Specific Distributions ; Specific Statistics; G - Financial Economics > G0 - General > G01 - Financial Crises; G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates

References

Adu, G., Alagidede, P. and Karimu, A. (2015). Stock return distribution in the brics. Review of Development Finance, 5(2), pp.98–109.

Ang, A., Chen, J. and Xing, Y. (2006). Downside risk. Review of Financial Studies, 19(4), pp.1191-1239.

Ang, A., Chen, J. and Xing, Y. (2002). Downside correlation and expected stock returns. Working Paper, Columbia University.

Ang, A., Liu, J. and Schwarz, K. (2017). Using stocks or portfolios in tests of factor models. Working Paper, Columbia University.

Auret, C. J. and Sinclaire, R. A. (2006). Book-to-market ratio and returns on the JSE. Investment Analysts Journal, 63, pp.31-38.

Bali, T. G., Cakici, N. and Whitelaw, R., F. (2014). Hybrid tail risk and expected stock returns: When does the tail wag the dog? Review of Asset Pricing Studies, 4, pp.206-246.

Bawa, V. and Lindenberg, E. (1977). Capital market equilibrium in a mean-lower partial moment framework. Journal of Financial Economics, 5, pp.189-200.

Black, F. Jensen, M. C. and Scholes, M. S. (1972). The capital asset pricing model: Some Empirical Test. In Michael C. Jensen (Ed.), Studies in the Theory of Capital Markets, pp.79-121. New York: Praeger.

Blume, M. (1970). Portfolio theory: A step towards its practical applications. Journal of Business, 43 (2), pp.152-174.

Bonga-Bonga, L. (2017). “Assessing the Readiness of the BRICS Grouping for Mutually Beneficial Financial Integration”, Review of Development Economics, 21(4),pp. e204-e219.

Chabi-Yo, F., Ruenzi, S. and Weigert, F. (2015). Crash sensitivity and the cross-section of expected stock returns. Unpublished Working Paper, Ohio State University, University of Mannheim, and University of St. Gallen.

Cholette, L. and Lu, C.-C. (2011). The market premium for dynamic tail risk. Working paper, University of Stavanger and National Chengchi University.

Fama, E, F. and McBeth, J. D. (1973). Risk, return, and equilibrium: empirical tests. The Journal of Political Economy, 81(3), pp.607-636.

Gerakos, J. and Linnainmaa, J. (2015). Decomposing value. Working Paper. University of Chicago.

Gudendorf, G. and Segers, J. (2010). Extreme-value copulas. In W. H. P. Jaworski, F. Durante and T. Rychlik (Eds.), Proceedings of the Workshop on Copula Theory and its Applications, pp.127-146. Springer.

Harris, R.D.F., Nguyen, L.H. and Stoja, E. (2016). STR. Bank of England Staff Working Paper No.547.

Jenkinson, A. F. (1955). Statistics of extremes, in Estimation of Maximum Floods, WMO 233, TP 126, Tech. Note 98, chap. 5, pp.183-228, World Meteorol. Off., Geneva, Switzerland, 1969.

Kelly, B. and Jiang, H. (2014). Tail risk and asset prices. Review of Financial Studies, 27, pp.2841-2871.

Leadbetter, M. R., Lindgren, G. and Rootzen, H. (1983). Extremes and Related Properties of Random Sequences and Processes. New York: Spring Verlag.

Limberis, A. (2012). An empirical investigation of the conditional risk-return trade-off in South Africa. Unpublished M-Com (Accountancy) thesis. Johannesburg: University of Witwatersrand.

Okyere-Boakye, K. and O’Malley, B., (2016). Downside CAPM: The case of South Africa. Journal of Economic and Financial Sciences, 9(2), pp.578-608.

Post, T. and Van Vliet, P. (2006). Downside risk and asset pricing. Journal of Banking & Finance, 30, pp.823-849.

Sharpe, W. F. (1964). Capital asset prices: A theory of market equilibrium under conditions of risk. The Journal of Finance, 19(3), pp.425-442.

Sklar, A. (1959). Fonctions de répartition à n dimensions et leurs marges. Publications de l’Institut de Statistique de l’Université de Paris, 8, pp.229-231.

van Heerden, J. D. and van Rensburg, P. (2015). The cross-section of Johannesburg Securities Exchange listed equity returns (1994-2011). Studies in Economics and Finance, 32(4), pp.422-444.

van Oordt, M. R. C. and Zhou, C. (2016). STR. Journal of Financial and Quantitative Analysis, 51 (2), pp.685-705.

Von Mises, R. (1936). La distribution de la plus grande de n valeurs, Rev., Math, Union Interbalcanique, Vol. 1, pp.141-160.

Ward, M. and Muller, C. (2012). Empirical testing of the CAPM on the JSE. Investment Anlaysts Journal, 76, pp.1-12.