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Testing for Volatility Co-movement in Bivariate Stochastic Volatility Models

Author

Listed:
  • Jinghui Chen

    (Yokohama National University, Japan)

  • Masahito Kobayashi

    () (Yokohama National University, Japan)

  • Michael McAleer

    () (National Tsing Hua University, Taiwan; Erasmus University Rotterdam, The Netherlands;Complutense University of Madrid, Spain; Yokohama National University, Japan)

Abstract

The paper considers the problem of volatility co-movement, namely as to whether two nancial returns have perfectly correlated common volatility process, in the framework of multivariate stochastic volatility models and proposes a test which checks the volatility co-movement. The proposed test is a stochastic volatility version of the co-movement test proposed by Engle and Susmel (1993), who investigated whether international equity markets have volatility co-movement using the framework of the ARCH model. In empirical analysis we found that volatility co-movement exists among closelylinked stock markets and that volatility co-movement of the exchange rate markets tends to be found when the overall volatility level is low, which is contrasting to the often-cited nding in the nancial contagion literature that nancial returns have co-movement in the level during the nancial crisis.

Suggested Citation

  • Jinghui Chen & Masahito Kobayashi & Michael McAleer, 2017. "Testing for Volatility Co-movement in Bivariate Stochastic Volatility Models," Tinbergen Institute Discussion Papers 17-022/III, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20170022
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    References listed on IDEAS

    as
    1. Masaru Chiba & Masahito Kobayashi, 2013. "Testing for a Single-Factor Stochastic Volatility in Bivariate Series," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 6(1), pages 1-31, December.
    2. Manabu Asai & Michael McAleer & Jun Yu, 2006. "Multivariate Stochastic Volatility: A Review," Econometric Reviews, Taylor & Francis Journals, vol. 25(2-3), pages 145-175.
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    More about this item

    Keywords

    Lagrange multiplier test; Volatility co-movement; Stock markets; Exchange rate Markets; Financial crisis;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G01 - Financial Economics - - General - - - Financial Crises
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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