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Volatility Dynamics of the UK Business Cycle: a Multivariate Asymmetric Garch Approach

  • Kin-Yip Ho
  • Albert K. Tsui
  • Zhaoyong Zhang

This paper analyses thé volatility dynamics of thé UK business cycle by proposing four new multivariate asymmetric GARCH models that not only capture asymmetric volatility but aso time-varying corrélations. The results indicate the existence of asymmetric volatility, but it is sensitive to the structure of the conditional variance. It is also found that correlations and volatility are usually higher around the recession phase of the UK economy. These have important implications for macroeconomic policy and forecasting for business cycle.

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File URL: http://www.cepii.fr/IE/rev117/ei117b.htm
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Article provided by CEPII research center in its journal Economie Internationale.

Volume (Year): (2009)
Issue (Month): 117 ()
Pages: 31-46

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Handle: RePEc:cii:cepiei:2009-1tb
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  1. Diebold, Francis X & Rudebusch, Glenn D, 1996. "Measuring Business Cycles: A Modern Perspective," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 67-77, February.
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  9. Stock J.H. & Watson M.W., 2002. "Forecasting Using Principal Components From a Large Number of Predictors," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1167-1179, December.
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  12. Ling, Shiqing & McAleer, Michael, 2003. "Asymptotic Theory For A Vector Arma-Garch Model," Econometric Theory, Cambridge University Press, vol. 19(02), pages 280-310, April.
  13. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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  16. Hentschel, Ludger, 1995. "All in the family Nesting symmetric and asymmetric GARCH models," Journal of Financial Economics, Elsevier, vol. 39(1), pages 71-104, September.
  17. Engle, Robert, 2002. "Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 339-50, July.
  18. Allan D. Brunner, 1990. "Conditional asymmetries in real GNP: a semi-nonparametric approach," Finance and Economics Discussion Series 140, Board of Governors of the Federal Reserve System (U.S.).
  19. Sichel, Daniel E, 1993. "Business Cycle Asymmetry: A Deeper Look," Economic Inquiry, Western Economic Association International, vol. 31(2), pages 224-36, April.
  20. Ritva LUUKKONEN & Timo TERASVIRTA, 1991. "Testing Linearity of Economic Time Series against Cyclical Asymmetry," Annales d'Economie et de Statistique, ENSAE, issue 20-21, pages 125-142.
  21. Ho, Kin-Yip & Tsui, Albert K. C., 2003. "Asymmetric volatility of real GDP: some evidence from Canada, Japan, the United Kingdom and the United States," Japan and the World Economy, Elsevier, vol. 15(4), pages 437-445, December.
  22. J. Bradford DeLong & Lawrence H. Summers, 1986. "The Changing Cyclical Variability of Economic Activity in the United States," NBER Chapters, in: The American Business Cycle: Continuity and Change, pages 679-734 National Bureau of Economic Research, Inc.
  23. Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
  24. A'Hearn, Brian & Woitek, Ulrich, 2001. "More international evidence on the historical properties of business cycles," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 321-346, April.
  25. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-70, March.
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  27. Nelson, Daniel B & Foster, Dean P, 1994. "Asymptotic Filtering Theory for Univariate ARCH Models," Econometrica, Econometric Society, vol. 62(1), pages 1-41, January.
  28. Tse, Y. K. & Tsui, Albert K. C., 1997. "Conditional volatility in foreign exchange rates: Evidence from the Malaysian ringgit and Singapore dollar," Pacific-Basin Finance Journal, Elsevier, vol. 5(3), pages 345-356, July.
  29. Hamori, Shigeyuki, 2000. "Volatility of real GDP: some evidence from the United States, the United Kingdom and Japan," Japan and the World Economy, Elsevier, vol. 12(2), pages 143-152, May.
  30. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
  31. Koutmos, Gregory, 1998. "Asymmetries in the Conditional Mean and the Conditional Variance: Evidence From Nine Stock Markets," Journal of Economics and Business, Elsevier, vol. 50(3), pages 277-290, May.
  32. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(01), pages 122-150, February.
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