Hsiang-Hsi Liu and Chien-Kuo Tseng

Correspondence: Hsiang-Hsi Liu, hsiang@mail.ntpu.edu.tw

Distinguished Professor, Graduate Institute of International Business, National Taipei University, Taiwan.

pdf (784.99 Kb) | doi: https://doi.org/10.47260/bae/926

Abstract

Previous studies on co-integration focused on whether there is co-integration between variables, and might not explore which variables are caused when co-integration exists. This study is based on a multivariate factor model and apply Quah’s decomposition theorem to derive common factors affecting long-run equilibrium, and use this common factor to explain which variables affect the formation of co-integration. Empirically, five stock markets in the Asian-Pacific Chinese region (Hong Kong, Singapore, Taiwan and China including Shanghai and Shenzhen stock markets) are the objects of analysis. According to the estimated common factor, the existence of the co-integration among the five stock markets is caused by the stock markets in Taiwan and Hong Kong. Therefore, when investing in these five stock markets, investors must incorporate and use the information of the two stock markets as a decisive factor in order to promote correct decision-making. That is, the policy authorities of these countries should promote the effective interaction and operation of the stock market. The decisive influence of stock market information in the two countries cannot be ignored.

Keywords:

  Co-integration, Error Correction Model (ECM), Common Component, Quah’s Decomposition Theorem.

References

Barigozzi, M., Lippi, M. and Luciani, M. (2016). Dynamic factor models, co-integration, and error   correction mechanisms. Board of Governors of the Federal Reserve System of US. No. 2016-018.Caporale, G. M., Gil-Alana, L. A. and You, K. (2022). Stock market linkages between the ASEAN countries, China and the US: A fractional integration/co-integration approach. Emerging Markets Finance and Trade, 58(5), 1502-1514.Casoli, C. and Lucchetti, R. J. (2021). Permanent-Transitory decomposition of co-integrated time series via dynamic factor models, with an application to commodity prices. Fondazione Eni Enrico Mattei Working Paper. No. 2021.19.Chaudhuri, K. and Smiles, S. (2004). Stock market and aggregate economic activity: evidence from Australia. Applied Financial Economics, 14(2), 121-129.Cheng, H. and Glascock, J. L. (2005). Dynamic linkages between the greater China economic area stock markets—Mainland China, Hong Kong, and Taiwan. Review of Quantitative Finance and Accounting, 24(4), 343-357.Davidson, R. and MacKinnon, J. G. (1993). Estimation and Inference in Econometrics, Oxford University Press, New York.Dickey, D. A. and Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American statistical association, 74(366a), 427-431.Dickey, D. A. and Fuller, W. A. (1981). Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica, 49(4), 1057-1072.Engle, R. F. and Granger, C. W. (1987). Co-integration and error correction: representation, estimation, and testing. Econometrica, 55(2), 251-276.Figuerola-Ferretti, I. and Gonzalo, J. (2010). Modelling and measuring price discovery in commodity markets. Journal of Econometrics, 158(1), 95-107.Forni, M., Hallin, M., Lippi, M. and Reichlin, L. (2000). The generalized dynamic-factor model: Identification and estimation. Review of Economics and statistics, 82(4), 540-554.Geweke, J. (1977). The dynamic factor analysis of economic time series, Ch. 19 in Aigner and Goldberger (eds.), Latent variables in socio-economic models, Amsterdam: North Holland.Gonzalo, J. and Granger, C. (1995). Estimation of common long-memory components in co-integrated systems. Journal of Business & Economic Statistics, 13(1), 27-35.Granger, C. W. (1981). Some properties of time series data and their use in econometric model specification. Journal of econometrics, 16(1), 121-130.Granger, C. W. J. (1986). Developments in the study of c-integrated economic variables. Oxford Bulletin of Economics and Statistics, 48(3), 213-228.Guntukula, R. (2018). Exports, imports and economic growth in India: Evidence from co-integration and causality analysis. Theoretical & Applied Economics, 25(2), 221-230.Gulzar, S., Mujtaba Kayani, G., Xiaofen, H., Ayub, U. and Rafique, A. (2019). Financial co-integration and spillover effect of global financial crisis: A study of emerging Asian financial markets. Economic research-Ekonomska istraživanja, 32(1), 187-218.Hasanov, F. J., Hunt, L. C. and Mikayilov, C. I. (2016). Modeling and forecasting electricity demand in Azerbaijan using co-integration techniques. Energies, 9(12), 1045(1-31).Hecq, A., Palm, F. C. and Urbain, J. P. (2000). Permanent‐transitory decomposition in VAR models with co-integration and common cycles. Oxford Bulletin of Economics and Statistics, 62(4), 511-532.Huang, T. L. and Kuo, H. J. (2015). An empirical analysis of information transmission mechanism and the trilateral relationship among the Mainland China, Hong Kong, and Taiwan stock markets. Asia Pacific Management Review, 20(2), 65-78.Kapar, B., Olmo, J. and Ghalayini, R. (2020). Financial integration in the United Arab Emirates stock markets. Finance Research Letters, 33(c), 101219 (1-8).Johansen, S. (1988). Statistical analysis of co-integration vectors. Journal of Economic Dynamics and Control, 12(2-3), 231-254.Johansen, S. and Juselius, K. (1990). Maximum likelihood estimation and inference on co-integration with applications to the demand for money. Oxford Bulletin of Economics and Statistics, 52(2), 169-210.Johansen, S. (1991), Estimation and hypothesis testing of co-integration vectors in Gaussian vector regression models. Econometrics, 59(6), 1551-1580.Johansen, S. (1992), Determination of co-integration rank in the presence of a linear trend. Oxford Bulletin of Economics and Statistics, 54(3), 383-397.Johansen, S. and Juselius, K. (1992). Testing structural hypotheses in a multivariate co-integration analysis of the PPP and the UIP for UK. Journal of econometrics, 53(1-3), 211-244.Johansen, S. (1994). The role of the constant and linear terms in co-integration analysis of non-stationary variables. Econometric Review, 13(2), 205-229.Johansson, A. C. and Ljungwall, C. (2009). Spillover effects among the Greater China stock markets. World Development, 37(4), 839-851.Lieberman, O., Ben-Zion, U. and Hauser, S. (1999). A characterization of the price behavior of international dual stocks: an error correction approach. Journal of International Money and Finance, 18(2), 289-304.MacKinnon, J. G., Haug, A. A. and Michelis, L. (1999). Numerical distribution functions of likelihood ratio tests for co-integration. Journal of applied Econometrics, 14(5), 563-577.Maiti, M., Vukovic, D., Vyklyuk, Y. and Grubisic, Z. (2022). BRICS capital markets co-movement analysis and forecasting. Risks, 10(5), 1-13.Mitra, A. and Iyer, V. (2017). Transmission of volatility across Asia-Pacific stock markets: Is there a pattern? IIM Kozhikode Society & Management Review, 6(1), 42-54.Niyimbanira, F. (2013). An overview of methods for testing short-and long-run equilibrium with time series data: co-integration and error correction mechanism. Mediterranean Journal of Social Sciences, 4(4), 151-156.Padilla, A. J. and Garrido, A. (2018). Beyond Brexit’s uncertainty: the foreseeable Britain’s innovative stagnation. Journal of Economic Studies, 45(4), 773-790.Phillips, P. C. and Perron, P. (1988). Testing for a unit root in time series regression. Biometrika, 75(2), 335-346.Phillips, P. C. (1991). Error correction and long-run equilibrium in continuous time. Econometrica, 59(4),   967-980.Quah, D. (1992). The relative importance of permanent and transitory components: Identification and some theoretical bounds. Econometrica, 60(1), 107-118.Rizwanullah, M., Liang, L., Yu, X., Zhou, J., Nasrullah, M. and Ali, M. U. (2020). Exploring the co-integration relation among top eight Asian stock markets. Open Journal of Business and Management, 8(3), 1076-1088.Xu, X. (2018). Co-integration and price discovery in US corn cash and futures markets. Empirical Economics, 55(4), 1889-1923.Yan, B. and Zivot, E. (2010). A structural analysis of price discovery measures. Journal of Financial Markets, 13(1), 1-19.Yeh, Y. H. and Lee, T. S. (2000). The interaction and volatility asymmetry of unexpected returns in the greater China stock markets. Global Finance Journal, 11(1-2), 129-149.