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A multivariate regime-switching GARCH model with an application to global stock market and real estate equity returns

Author

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  • Haas Markus

    (University of Kiel, Institute for Quantitative Business and Economics Research (QBER), Kiel, Germany)

  • Liu Ji-Chun

    (Xiamen University, School of Mathematical Sciences, Xiamen, China)

Abstract

We consider a multivariate Markov-switching GARCH model which allows for regime-specific volatility dynamics, leverage effects, and correlation structures. Conditions for stationarity and expressions for the moments of the process are derived. A Lagrange Multiplier test against misspecification of the within-regime correlation dynamics is proposed, and a simple recursion for multi-step-ahead conditional covariance matrices is deduced. We use this methodology to model the dynamics of the joint distribution of global stock market and real estate equity returns. The empirical analysis highlights the importance of the conditional distribution in Markov-switching time series models. Specifications with Student’s t innovations dominate their Gaussian counterparts both in- and out-of-sample. The dominating specification appears to be a two-regime Student’s t process with correlations which are higher in the turbulent (high-volatility) regime.

Suggested Citation

  • Haas Markus & Liu Ji-Chun, 2018. "A multivariate regime-switching GARCH model with an application to global stock market and real estate equity returns," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 22(3), pages 1-27, June.
    • Handle: RePEc:bpj:sndecm:v:22:y:2018:i:3:p:27:n:2
    DOI: 10.1515/snde-2016-0019
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    Cited by:

    1. Chowdhury, Mohammad Ashraful Ferdous & Abdullah, Mohammad & Masih, Mansur, 2022. "COVID-19 government interventions and cryptocurrency market: Is there any optimum portfolio diversification?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 81(C).
    2. Bogdan Dima & Ștefana Maria Dima, 2024. "The non-linear impact of monetary policy on shifts in economic policy uncertainty: evidence from the United States of America," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 51(3), pages 755-781, August.

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