The impact of oil and gold price fluctuations on the South African equity market: volatility spillovers and implications for portfolio management

Morema, Kgotso and Bonga-Bonga, Lumengo (2018): The impact of oil and gold price fluctuations on the South African equity market: volatility spillovers and implications for portfolio management.

Abstract

This paper aims to study the impact of gold and oil price fluctuations on the volatility of the South African stock market and its component indices or sectors – namely, the financial, industrial and resource sectors – making use of the asymmetric dynamic conditional correlation (ADCC) generalised autoregressive conditional heteroskedasticity (GARCH) model. Moreover, the study assesses the magnitude of the optimal portfolio weight, hedge ratio and hedge effectiveness for portfolios that are constituted of a pair of assets, namely oil-stock and gold-stock pairs. The findings of the study show that there is significant volatility spillover between the gold and the stock markets, and the oil and stock markets. This finding suggests the importance of the link between futures commodity markets and the stock markets, which is essential for portfolio management. With reference to portfolio optimisation and the possibility of hedging when using the pairs of assets under study, the findings suggest the importance of combining oil and stocks as well as gold and stocks for effective hedging against any risks

• Item Type: MPRA Paper
• Language: English
• Keywords: Hedge ratio, optimal portfolio weight, ADCC model, crises, hedge effectiveness, Asymmetric, risk, safe haven.
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling; C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C58 - Financial Econometrics; G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions; G - Financial Economics > G1 - General Financial Markets > G15 - International Financial Markets

References

Al-Mudhaf, A. & Goodwin, T.H., 1993. Oil shocks and oil stocks: evidence from the 1970s. Applied Economics, 25(2), pp. 181-190.

Aloui, R., Hammoudeh, S. & Nguyen, D.K., 2013. A time-varying copula approach to oil and stock market dependence: the case of transition economies. Energy Economics, 39, pp. 208-221.

Apergis, N. & Miller, S.M., 2009. Do structural oil-market shocks affect stock prices? Energy Economics, 31, pp. 569-575.

Annastiina, S. & Timo, T., 2008. Multivariate GARCH models. SSE. EFI Working Paper Series in Economics and Finance 669.

Anoruo, E. and Mustafa, M., 2007. An empirical investigation into the relation of oil to stock market prices. North American Journal of Finance and Banking Research, 1(1), p. 22.

Arouri, M.H., Jouini, J. & Nguyen, D.K., 2012. On the impacts of oil price fluctuations on European equity markets: volatility spillover and hedging effectiveness. Energy Economics, 34, pp. 611-617.

Arouri, M.H., Lahiani, A. & Nguyen, D.K., 2015. World gold prices and stock returns in China: insights for hedging and diversification strategies. Economic Modelling, 44, pp. 273-282.

Baba, Y., Engle, R.F., Kraft, D.F. & Kroner, K.F., 1991. Multivariate simultaneous generalised ARCH. University of California, San Diego: Department of Economics (No. 89-57). Discussion Paper.

Bampinas, G. and Panagiotidis, T., 2015. Are gold and silver a hedge against inflation? A two century perspective. International Review of Financial Analysis, 41, pp.267-276.

Basher, S.A. & Sadorsky, P., 2006. Oil price risk and emerging stock markets. Global Finance Journal, 17, pp. 224-251.

Basher, S.A. & Sadorsky, P., 2016. Hedging emerging market stock prices with oil, gold, VIX, and bonds: a comparison between DCC, ADCC and GO-GA. Energy Economics, 54, pp. 235-247.

Baur, D.G. & McDermott, T.K., 2010. Is gold a safe haven? International evidence. Journal of Banking and Finance, 34, pp. 1886-1898.

Baur, D. & Lucey, B., 2010. Is gold a hedge or a safe haven? An analysis of stocks, bonds and gold. The Financial Review, 45, pp. 217-229.

Bhar, R. & Nikolova, B., 2009. Oil prices and equity returns in the BRIC countries. The World Economy, 32(7), pp. 1036-1054.

Bollerslev, T., 1986. Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), pp. 307-327.

Bollerslev, T., 1990. Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH model. The Review of Economics and Statistics, pp. 498-505.

Bollerslev, T., Engle, R.F. and Wooldridge, J.M., 1988. A capital asset pricing model with time-varying covariances. Journal of Political Economy, 96(1), pp. 116-131.

Capie, F., Mills, T.C. & Wood, G., 2005. Gold as a hedge against the dollar. Journal of International Financial Markets, Institutions and Money, 15(4), pp. 343-352.

Cappiello, L., Engle, R.F. & Sheppard, K., 2006. Asymmetric dynamics in the correlations of global equity and bond returns. Journal of Financial Econometrics, 4(4), pp. 537-572.

Chen, N.F., Roll, R. & Ross, S.A., 1986. economic force and the stock market. Journal of Business, 59(3), pp. 383-403.

Chiou, J. & Lee, Y., 2009. Jump dynamics and volatility: oil and the stock markets. Energy, pp. 788-796.

Chkili, W., 2016. Dynamic correlations and hedging effectiveness between gold and stock markets: evidence for BRICS countries. Research in International Business and Finance, 38, pp. 22-34.

Chkili, W., Aloui, C. & Nguyen, D.K., 2014. Instabilities in the relationships and hedging strategies between crude oil and US stock markets: do long memory and asymmetry matter? Journal of International Financial Markets, Institutions & Money, 33, pp. 354-366.

Ciner, C., Gurdgiev, C. & Lucey, B.M., 2013. Hedges and safe havens: an examination of stocks, bonds, gold, oil and exchange rates. International Review of Financial Analysis, 29, pp. 202-211.

Cleveland, W.S., Grosse, E. and Shyu, W.M., 1991. Statistical Models in S, JM Chambers and TJ Hastie. Pacific Grove: Wadsworth & Brooks, pp.309-376.

Cong, R.G., Wei, Y.M., Jiao, J.L. & Fan, Y., 2008. Relationships between oil price shocks and stock market: an empirical analysis from China. Energy Policy, 36(9), pp. 3544-3553.

Coudert, V. & Raymond-Feingold, H., 2011. Gold and financial assets: are there any safe havens in bear markets? Economic Bulletin, 31(2), pp. 1613-1622.

DeJong, D.N., Nankervis, J.C., Savin, N.E. & Whiteman, C.H., 1992. The power problems of unit root test in time series with autoregressive errors. Journal of Econometrics, 53(1-3), pp. 323-343.

Dickey, D.A. & Fuller, W.A., 1981. Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica: Journal of the Econometric Society, pp.1057-1072.

Ederington, L.H., 1979. The hedging performance of the new futures markets. Journal of Finance, 34, pp. 157-170.

Ederington, L.H. & Guan, W., 2010. How asymmetric is US stock market volatility? Journal of Financial Markets, 13(2), pp. 225-248.

Engle, R.F., 1982. Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica: Journal of the Econometric Society, pp.987-1007.

Engle, R.F., 2002. Dynamic conditional correlation: a simple class of multivariate generalized autoregressive conditional heteroscedasticity models. Journal of Business & Economic Statistics, 20, pp. 339-350.

Erb, C. B., & Harvey, C. R., 2006. The strategic and tactical value of commodity futures. Financial Analysts Journal, 62(2), 69-97.

Ewing, B.T. & Malik, F., 2013. Volatility transmission between gold and oil futures under structural breaks. International Review of Economics & Finance, 25, pp. 113-121.

Ewing, B.T. & Malik, F., 2016. Volatility spillovers between oil prices and the stock market under structural breaks. Global Finance Journal, 29, pp. 12-23.

Faff, R. & Brailsford, T.J., 1999. Oil price risk and the Australian stock market. Journal of Energy and Finance, 49, pp. 69-87.

Fama, E.F., 1965. The behavior of stock-market prices. The Journal of Business, 38(1), pp. 34-105.

Fan, J. & Zhang, W., 2008. Statistical methods with varying coefficient models. Statistics and its Interface, 1(1), p. 179.

Gencer, H.G. & Kilic, E., 2014. Conditional correlations and volatility links among gold, oil and Istanbul Stock Exchange sector returns. International Journal of Economics and Financial Issues, 4(1), pp. 170-182.

Glosten, L.R., Jagannathan, R. & Runkle, D.E., 1993. On the relation between the expected value and the volatility of the nominal excess return on stocks. The Journal of Finance, 48(5), pp. 1779-1801.

Gurgun, G. & Unalmis, I., 2014. Is gold a safe haven against equity market investment in emerging and developing countries? Finance Research Letters, 25, pp. 113-121.

Hammoudeh, S., Sari, R., Uzunkaya, M. & Liu, T., 2013. The dynamics of BRICS's country risk ratings and domestic stock markets, US stock market and oil price. Mathematics and Computers in Simulation, 94, pp. 277-294.

He, C., Silvennoinen, A. & Teräsvirta, T., 2008. Parameterizing unconditional skewness in models for financial time series. Journal of Financial Econometrics, 6(2), pp. 208-230.

Henriques, I. & Sadorsky, P., 2008. Oil prices and the stock prices of alternative energy companies. Energy Economics, 30(3), pp. 998-1010.

Heymans, A. & da Camara, R., 2013. Measuring spill-over effects of foreign markets on the JSE before, during and after international financial crises. SAJEMS NS, 16(4), pp. 418-434.

Hood, M. & Malik, F., 2013. Is gold the best hedge and a safe haven under changing stock market volatility? Review of Financial Economics, 22, pp. 47-52.

Hooker, M.A., 2002. Are oil shocks inflationary?: Asymmetric and nonlinear specifications versus changes in regime. Journal of Money, Credit, and Banking, 34(2), pp.540-561.

Huang, R.D., Masulis, R.W. & Stoll, H.R. 1996. Energy shocks and financial markets. Journal of Future Markets, 16, pp. 1-27.

Jones, C.M. & Kaul, G., 1996. Oil and the stock markets. Journal of Finance, 55, pp. 463-491.

Jubinski, D. & Lipton, A.F., 2013. VIX, gold, silver, and oil: how do commodities react to financial market volatility? Journal of Accounting and Finance, 13(1), pp. 70-88.

Kang, S.H., McIver, R. & Yoon, S.M., 2016. Modeling time-varying correlations in volatility between brics and commodity markets. Emerging Markets Finance and Trade, pp. 1-26.

Katzke, N., 2013. South African sector return correlations: using dcc and adcc multivariate GARCH techniques to uncover the underlying dynamics (No. 17/2013).

Khalfaoui, R., Boutahar, M. & Boubaker, H., 2015. Analyzing volatility spillovers and hedging between oil and stock markets: evidence from wavelet analysis. Energy Economics, 49, pp. 540-549.

Kilian, L. & Park, C., 2009. The impact of oil price shocks on the US stock market. International Economic Review, 50(4), pp. 1267-1287.

Kiohos, Α. & Sariannidis, N., 2010. Determinants of the asymmetric gold market. Investment Management and Financial Innovations, 7(4), pp. 26-33.

Kroner, K.F. & Ng, V.K., 1998. Modeling asymmetric comovements of asset returns. Review of Financial Studies, 11(4), pp. 817-844.

Kroner, K.F. & Sultan, J., 1993. Time dynamic varying distributions and dynamic hedging with foreign currency futures. Journal of Financial and Quantitative Analyses, 28, pp. 535-551.

Kumar, D., 2014. Return and volatility transmission between gold and stock sectors: application of portfolio management and hedging effectiveness. Institute for Financial Management and Research, 26, pp. 5-16.

Kwiatkowski, D., Phillips, P.C., Schmidt, P. & Shin, Y., 1992. Testing the null hypothesis of stationarity against the alternative of a unit root: how sure are we that economic time series have a unit root? Journal of Econometrics, 54(1-3), pp. 159-178.

Lee, Y.H. & Chiou, J.S., 2011. Oil sensitivity and its asymmetric impact on the stock market. Energy, 36, pp. 168-174.

Lin, B., Wesseh Jr., P.K. & Appiah, M.O., 2014. Oil price fluctuation, volatility spillover and the Ghanaian equity market: implications for portfolio management and hedging effectiveness. Energy Economics, 42, pp. 172-182.

Ling, S. & McAleer, M., 2003. Asymptotic theory for a vector ARMA-GARCH model. Econometric Theory, 19(02), pp. 280-310.

Lescaroux, F. & Mignon, V., 2008. On the influence of oil prices on economic activity and other macroeconomic and financial variables. OPEC Energy Review, 32(4), pp. 343-380.

Margrabe, W., 1978. The value of an option to exchange one asset for another. The Journal of Finance, 33(1), pp. 177-186.

Malik, F. & Ewing, B.T., 2009. Volatility transmission between oil prices and equity sector returns. International Review of Financial Analysis, 18(3), pp. 95-100.

Mensi, W., Beljid, M., Boubaker, A. & Managi, S., 2013. Correlations and volatility spillovers across commodity and stock markets: linking energies, food, and gold. Economic Modelling, 32, pp. 15-22.

Nandha, M. & Faff, R., 2008. Does oil move equity prices? A global view. Energy Economics, 30, pp. 986-997.

Narayan, P.K. & Narayan, S., 2010. Modelling the impact of oil prices on Vietnam's stock prices. Applied Energy, 87, pp. 356-361.

Nelson, D.B., 1991. Conditional heteroskedasticity in asset returns: a new approach. Econometrica: Journal of the Econometric Society, pp. 347-370.

Park, J. & Ratti, R.A., 2008. Oil price shocks and stock markets in the U.S. and 13 European countries. Energy Economics, 30, p. 2587-2608.

Raza, N., Shahzad, S.J.H., Tiwari, A.K. & Shahbaz, M., 2016. Asymmetric impact of gold, oil prices and their volatilities on stock prices of emerging markets. Resources Policy, 49, pp. 290-301.

Sadorsky, P., 1999. Oil price shocks and stock market activity. Energy Economics, 21, pp. 449-469.

Sadorsky, P., 2001. Risk factors in stock returns of Canadian oil and gas companies. Energy Economics, 23, pp. 17-28.

Sadorsky, P., 2008. Assessing the impact of oil prices on firms of different sizes: its tough being in the middle. Energy Policy, 36(10), pp. 3854-3861.

Sadorsky, P., 2012. Correlations and volatility spillovers between oil prices and the stock prices of clean energy and technology companies. Energy Economics, 34, pp. 248-255.

Sadorsky, P., 2014b. Modeling volatility and correlations between emerging market stock prices and the prices of copper, oil and wheat. Energy Economics, 43, pp. 72-81.

Schwert, G.W., 1987. Effects of model specification on tests for unit roots in macroeconomic data. Journal of Monetary Economics, 20(1), pp. 73-103.

Song, P.X.K., Fan, Y. & Kalbfleisch, J.D., 2005. Maximization by parts in likelihood inference. Journal of the American Statistical Association, 100(472), pp. 1145-1158.

Souček, M., 2013. Crude oil, equity and gold futures open interest co-movements. Energy Economics, 40, pp.306-315.

Su, W & Huang, Y. (2010). Comparison of multivariate GARCH models with application to zero coupon bond volatility. Masters Thesis 15 ECTS, Lund University.

Sumner, S., Johnson, R. & Soenen, L. (2010), Spillover effects between gold, stocks, and bonds. Journal of Centrum Cathedra, 3, pp. 106-120.

Tsay, R.S., 2005. Conditional heteroscedastic models. Chapter 3 in Analysis of Financial Time Series (Vol. 543). John Wiley & Sons.

Wakeford, J., 2006, October. The impact of oil price shocks on the South African macroeconomy: history and prospects. In Accelerated and Shared Growth in South Africa: Determinants, Constraints and Opportunities (18-20 October 2006). The Birchwood Hotel and Conference Centre, Johannesburg, South Africa.

https://data.worldbank.org World Bank database website. 2015. Available from https://data.worldbank.org.

Xu, H. & Hamori, S., 2012. Dynamic linkages of stock prices between the BRICs and the United States: effects of the 2008–09 financial crisis. Journal of Asian Economics, 23(4), pp. 344-352.

Zhang, B., Li, X. & Yu, H., 2013. Has recent financial crisis changed permanently the correlations between BRICS and developed stock markets? North American Journal of Economics and Finance, 26, pp. 725-738