Variance Persistence in the Greater China Region: A Multivariate GARCH Approach
Keywords:
Greater China Region, stock market returns, volatility dynamics, MGARCH models.Abstract
This paper utilizes three Multivariate General Autoregressive Conditional Heteroscedasticity (MGARCH) models to determine variance persistence in the Greater China region from 2009 to 2014. The first approach applies the Baba, Engle, Kraft and Kroner (BEKK) model and shows that the Shanghai Stock Exchange Composite Index (SSEI), Taiwan Capitalization Weighted Stock Index (TAEIX) and the Hang Seng Stock Index (HSEI) stock returns are all functions of their lagged covariances and lagged cross-product innovations. The second MGARCH approach applies two methodologies, namely, dynamic conditional correlation (DCC), and constant conditional correlation (CCC) estimations. The DCC model concludes both short- and long-run persistencies between Taiwan’s TAIEX and Hong Kong’s HSEI. Alternatively, the CCC model confirms the initial findings of the BEKK model, and adds that the relationships among these three strong economies are stable in the long-run. The log-likelihood values determine that the DCC model is better in judging volatility dynamics in the Greater China region, because of economic clauses brought by the Closer Economic Partnership Arrangement (CEPA), the Economic Co-operation Framework Agreement (ECFA) and the Hong Kong - Taiwan Business Cooperation Committee (BCC).
References
Allen, D. E., Amram, R. & McAleer, M. (2013). Volatility spillovers from the Chinese stock market to economic neighbors. Mathematics and
Computers in Simulation, 94, 238-257.
Barari, M., Lucey, B. & Voronkova, S. (2006). Re-assessing co-movements among G7 equity markets: Evidence from iShares. Applied Financial
Economics, 18(11), 863-877.
Working Paper no. WP 06–01. Manchester Metropolitan University.Bauwens, L., Laurent, S. & Rombouts, J. (2006). Multivariate GARCH
models: A survey. Journal of Applied Econometrics, 21, 79-109.
Bollerslev, T. (1990). Modeling the coherence in short-run nominalexchange rates: A multivariate generalized ARCH model. Review of Economics and Statistics, 72, 498-505.
Bubak, V., Kocenda, E. & Ikes, F. (2011). Volatility transmission inemerging European foreign exchange markets, Journal of Banking
and Finance, 10, 1-13.
Caporin, M. & McAleer, M. (2008). Scalar BEKK and indirect DCC. Journal of Forecasting, 27, 537-49.
Caporin, M. & McAleer, M. (2009). Do we really need both BEKK and DCC? A tale of two covariance models. Journal of Economic Surveys, 26(4), 736-751.
Chang, C., McAleer, M. & Tansuchat, R. (2011). Crude oil hedging strategies using dynamic multivariate GARCH. Energy Economics, 10, 1-12.
Du, X., Yu, C. & Hayes, D. (2011). Speculation and volatility spillover in the crude oil and agricultural commodity markets: A Bayesian analysis. Energy Economics, 33, 497-503.
Engle, R. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica,
, 987-1007.
Engle, R. (2002). Dynamic conditional correlation: A simple class of multivariate GARCH models. Journal of Business and Economic Statistics, 20, 339-50.
Engle, R. & Kroner, F. (1995). Multivariate simultaneous generalized ARCH. Econometric Theory, 11, 122-50.
Engle, R. & Sheppard, K. (2001). Theoretical and empirical properties of dynamic conditional correlation multivariate GARCH, No. w8554.
National Bureau of Economic Research.
Fleming, J., Kirby, C. & Ostdiek, B. (1998). Information and volatility linkages in the stock, bond and money markets. Journal of Financial
Economics, 49, 111-37.
Hafner, C., & Herwartz, H. (2006). Volatility impulse responses for MGARCH models: An exchange rate illustration. Journal of International Money and Finance, 25, 719-40.
Ho, K., Tsui, A., & Zhang, Z. (2009). Volatility dynamics of US business cycle: A multivariate asymmetric GARCH approach. Mathematics
and Computers in Simulation, 79, 2856-68.
Hosking, J. (1980) The multivariate portmanteau statistic. Journal of American Statistical Association, 75, 602-08.
Jiang, Y., Nie, H., & Monginsidi, J. Y. (2017). Co-movement of ASEAN stock markets: New evidence from wavelet and VMD-based copula tests.
Economic Modelling, 64, 384-398.
Johansson, A. C., & Ljungwall, C. (2009). Spillover effects among the greater China stock markets. World Development, 37(4), 839 - 851.
Karolyi, G. (1995). A multivariate GARCH model for international transmissions of stock returns and volatilities: The case of the US and Canada. Journal of Business and Economic Statistics, 13, 1-25.
Li, A., Su, Y.Y., & Qiao, H.Y. (2016). Research on the international interaction of Chinese Stock market-based on network analysis method. Journal of Quantitative and Technical Economics, 8, 113-127.
Li, W. & McLeod, A. (1981). Distribution of the residual autocorrelation in multivariate ARMA time-series models. Journal of the Royal Statistical Society B, 43, 231-39.
Liu, Q. & An, Y. (2011). Information transmission in informationally linked markets: Evidence from US and Chinese commodity futures markets. Journal of International Money and Finance, (30)5, 778-95.
Malliaropulos, D. (1997). A multivariate GARCH model of risk premia in foreign exchange markets. Economic Modelling, 14, 61-79.
McAleer, M. (2005) Automated inference and learning in modeling financial volatility, Econometric Theory, 21, 232-61.
McAleer, M., Chan, F. & Marinova, D. (2007). An econometric analysis of asymmetric volatility: Theory and application to patents. Journal of
Econometrics, 139, 259-284.
Moon, G. H., & Yu, W. C. (1991). Volatility spillovers between the US and the China stock markets: Structural break test with symmetric and
asymmetric GARCH approaches. Global Economic Review, 39(2),129-149.
Morrison, W. M. (2003). Taiwan's accession to the WTO and its economic relations with the United States and China. Congressional Research
Service, Library of Congress.
Silvennoinen, A., & Terasvirta, T. (2008). Mulfivariate GARCH models. SSE/EFI Working Paper Series in Economics and Finance, No. 669,
Stockholm, Sweden: Stockholm School of Economics.
So, M. K., & Tse, A. S. L. (2009). Dynamic modeling of tail risk: Applications to China, Hong Kong and Other Asian Markets. AsiaPacific Financial Markets, 16(3), 183-210.
Tse, Y. (2000). A test for constant correlations in multivariate GARCH model. Journal of Econometrics, 98, 107-27.
Tse, Y. & Tsui, A. (2002). A multivariate GARCH model with time-varying correlations. Journal of Business and Economic Statistics, 20, 351-62.
Worthington, A., Kay-Spratley, A. & Higgs, H. (2005). Transmission of prices and price volatility in Australian electricity spot markets: A multivariate GARCH analysis. Energy Economics, 27(2), 337-50.
Yi, Z., Heng, C., & Wong, W. K. (2009). China’s stock market integration with a leading power and a close neighbor. Journal of Risk and
Financial Management, 2(1), 38-74.
Yilmaz, K. (2010). Return and volatility spillovers among the east Asian equity markets. Journal of Asian Economics, 21(3), 304-313.
Zhang, C. (2017). Analysis of the Linkage between China and European and American Stock Markets. Social Sciences Frontier, (6), 260-264.
Zhu, J. (2009). Testing for expected return and market price of risk in Chinese A and B share markets: A geometric Brownian motion and
MGARCH model approach. Mathematics and Computers in Simulation, 79, 2633-53