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A Multivariate Threshold Varying Conditional Correlations Model

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  • W. Kwan
  • W. K. Li
  • K. W. Ng

Abstract

In this article, a multivariate threshold varying conditional correlation (TVCC) model is proposed. The model extends the idea of Engle (2002) and Tse and Tsui (2002) to a threshold framework. This model retains the interpretation of the univariate threshold GARCH model and allows for dynamic conditional correlations. Techniques of model identification, estimation, and model checking are developed. Some simulation results are reported on the finite sample distribution of the maximum likelihood estimate of the TVCC model. Real examples demonstrate the asymmetric behavior of the mean and the variance in financial time series and the ability of the TVCC model to capture these phenomena.

Suggested Citation

  • W. Kwan & W. K. Li & K. W. Ng, 2010. "A Multivariate Threshold Varying Conditional Correlations Model," Econometric Reviews, Taylor & Francis Journals, vol. 29(1), pages 20-38.
    • Handle: RePEc:taf:emetrv:v:29:y:2010:i:1:p:20-38
    DOI: 10.1080/07474930903327260
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    1. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(1), pages 122-150, February.
    2. Kroner, Kenneth F. & Claessens, Stijn, 1991. "Optimal dynamic hedging portfolios and the currency composition of external debt," Journal of International Money and Finance, Elsevier, vol. 10(1), pages 131-148, March.
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    10. McAleer, Michael & Chan, Felix & Hoti, Suhejla & Lieberman, Offer, 2008. "Generalized Autoregressive Conditional Correlation," Econometric Theory, Cambridge University Press, vol. 24(6), pages 1554-1583, December.
    11. Tse, Y K & Tsui, Albert K C, 2002. "A Multivariate Generalized Autoregressive Conditional Heteroscedasticity Model with Time-Varying Correlations," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 351-362, July.
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    Cited by:

    1. Aslanidis, Nektarios & Martínez Ibáñez, Óscar, 2012. "Modelling world investment markets using threshold conditional correlation models," Working Papers 2072/203167, Universitat Rovira i Virgili, Department of Economics.

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