Stock Market Volatility Using GARCH Models: Evidence from South Africa and China Stock Markets
Abstract: This study looks into the relationship between stock returns and volatility in South Africa and China stock markets. A Generalized Autoregressive Conditional Heteroscedasticity (GARCH) model is used to estimate volatility of the stock returns, namely, the Johannesburg Stock Exchange FTSE/JSE Albi index and the Shanghai Stock Exchange Composite Index. The sample period is from January 1998 to October 2014. Empirical results show evidence of high volatility in both the JSE market, and the Shanghai Stock Exchange. Furthermore, the analysis reveals that volatility is persistent in both exchange markets and resembles the same movement in returns. Consistent with most stock return studies, we find that movements of both markets seem to take a similar trajectory.
Keywords: GARCH, ARCH effect, JSE index, Shanghai Stock Exchange Composite Index
rate. Journal of Financial and Quantitative Analysis, 35(2), 191-215.
Bekaert, G. & Wu, G. (2000). Asymmetric volatility and risk in equity markets. Review of Financial Studies, 13,
Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics,
Bollerslev, T., Engle, R. F. & Nelson, D. B. (1994). ARCH Models, in R.F. Engle and D. McFadden (eds.),
Handbook of Econometrics, 4, 2959-3038.
Black, F. (1976). Studies of Stock Price Volatility Changes, Proceedings of the Business and Economics Section of the American Statistical Association, 177–181.
Bloomberg. (2016). Stock Indexes. Retrieved from www.bloomberg.com
Chan, L., Jegadeesh, N. & Lakonishok, J. (1997). Momentum strategies. Journal of Finance, 51, 1681-1713.
Chen, N., Roll, R. & Ross, R. (1986). Economic Forces and the Stock Market. Journal of Business, 59, 383-403.
Cheteni, P. (2014). Non-Linearity Behavior of the ALBI Index: A Case of Johannesburg Stock Exchange in South Africa. Mediterranean Journal of Social Sciences, 5(9), 183-187.
Chinzara, Z. & Aziakpono, M. J. (2008). Dynamic returns linkages and volatility transmission between South African and world major stocks markets. Studies in Economics and Econometrics, 33(3), 69-94.
De Bock, R. & de Carvalho, F. (2015). The Behavior of Currencies during Risk-off Episodes. Journal of International Money and Finance, 53, 218- 234.
De Camara, R. M. (2011). The Price and Volatility Transmission of International Financial Crises to the South African Equity Market. Master Dissertation, North-West University.
DSFin. (2016). The first 2 weeks of April 2016. Retrieved from: www.dsfin.co.za
Duncan, A. S. & Kabundi, A. (2011). Volatility spillovers across South African asset classes during domestic and foreign financial crises. Economic Research Southern Africa, Working Paper 202.
Engle, R. F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of Variance of United Kingdom Inflation. Econometrica, 50(4), 987–1008.
Fama, E. (1990). Stock returns, Expected Returns, and Real Activity. Journal of Finance, 3, 1189-1108.
Floros, C. (2007). The use of GARCH models for the calculation of Minimum Capital Risk Requirements: International Evidence. International Journal of Managerial Finance, 3(4), 360-371.
Franses, P. H. & Van Dijk, D. (1996). Forecasting stock market volatility using (non-linear) GARCH models. Journal of Forecast, 15, 229–235.
Haque, M., Hassan, M. K., Maroney, N. & Sackley, W. H. (2004). An empirical examination of stability, predictability, and volatility of Middle Eastern and African emerging stock markets. Review of Middle Economics and Finance, 2(1), 19-42.
Hassan, M. K., Maroney, N. C., El Sady, H. M. & Telfah, A. (2003). Country risk and stock market volatility, predictability, and diversification in the Middle East and Africa. Economic Systems, 27, 63-82.
Levine, R. (1991). Stock Markets, Growth, and Tax Policy. Journal of Finance, 46(4), 1445-65.
Mishra, P. K. (2010). A GARCH Model Approach to Capital Market Volatility: The Case of India. Indian Journal of Economics and Business, 9(3), 631-641.
Ogum G. (2002). An analysis of asymmetry in the conditional mean returns: Evidence from three sub-Saharan Africa emerging equity markets. The African Finance Journal, 4(1), 78-82.
Olowe, R. A. (2009). Modelling Naira/Dollar Exchange Rate Volatility: Evidence from GARCH and Asymmetric Models. International Review of Business Research Papers, 5(3), 377-398.
Poon, S. H. & Granger, C. W. J. (2005). Practical issues in forecasting volatility. Financial Analyst Journal, 61(1), 45–65.
Pretorius, A. & De Beer, J. (2014). Comparing the South African stock markets response to two periods of distinct instability – the 1997-98 East Asian and Russian and the recent global financial crisis. International Business & Economics Research Journal, 13(3), 427-442.
Raju, M. T. & Ghosh, A. (2004). Stock market volatility-An International Comparison, Securities and Exchange Board of India.
Samouilhan, N. L. (2006). The Relationship between International Equity Market Behavior and the JSE. South African Journal of Economics, 74(2), 248-260.
Samouilhan, N. L. & Shannon, G. (2008). Forecasting Volatility on the Johannesburg Stock Exchange. Investment Analysts Journal, 67, 19-28
Shin, J. (2005). Stock Returns and Volatility in Emerging Markets. International Journal of Business and Economics, 4(1), 31-43.
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