Simple Tests for Models of Dependence Between Multiple Financial Time Series, with Applications to U.S. Equity Returns and Exchange Rates
Evidence that asset returns are more highly correlated during volatile markets and during market downturns (see Longin and Solnik, 2001, and Ang and Chen, 2002) has lead some researchers to propose alternative models of dependence. In this paper we develop two simple goodness-of-fit tests for such models. We use these tests to determine whether the multivariate Normal or the Student’s t copula models are compatible with U.S. equity return and exchange rate data. Both tests are robust to specifications of marginal distributions, and are based on the multivariate probability integral transform and kernel density estimation. The first test is consistent but requires the estimation of a multivariate density function and is recommended for testing the dependence structure between a small number of assets. The second test may not be consistent against all alternatives but it requires kernel estimation of only a univariate density function, and hence is useful for testing the dependence structure between a large number of assets. We justify our tests for both observable multivariate strictly stationary time series and for standardized innovations of GARCH models. A simulation study demonstrates the efficacy of both tests. When applied to equity return data and exchange rate return data, we find strong evidence against the normal copula, but little evidence against the more flexible Student’s t copula.
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- Bouye, Eric & Durlleman, Valdo & Nikeghbali, Ashkan & Riboulet, Gaël & Roncalli, Thierry, 2000. "Copulas for finance," MPRA Paper 37359, University Library of Munich, Germany.
- Yanqin Fan & Paul Rilstone, 2001. "A Consistent Test for the Parametric Specification of the Hazard Function," Annals of Economics and Finance, Society for AEF, vol. 2(1), pages 77-96, May.
- Frederick C. Mills, 1927. "The Behavior of Prices," NBER Books, National Bureau of Economic Research, Inc, number mill27-1, August.
- Jean-David Fermanian, 2003. "Goodness of Fit Tests for Copulas," Working Papers 2003-34, Centre de Recherche en Economie et Statistique.
- Frederick C. Mills, 1927. "Appendix to "The Behavior of Prices"," NBER Chapters, in: The Behavior of Prices, pages 441-586 National Bureau of Economic Research, Inc.
- Tse, Y. K., 2000.
"A test for constant correlations in a multivariate GARCH model,"
Journal of Econometrics,
Elsevier, vol. 98(1), pages 107-127, September.
- Tom Doan, . "RATS programs to replicate Tse's constant correlation GARCH test results," Statistical Software Components RTZ00161, Boston College Department of Economics.
- Tom Doan, . "TSECCTEST: RATS procedure to perform Tse test for constant correlation in MV-GARCH model," Statistical Software Components RTS00214, Boston College Department of Economics.
- Fan, Yanqin, 1994. "Testing the Goodness of Fit of a Parametric Density Function by Kernel Method," Econometric Theory, Cambridge University Press, vol. 10(02), pages 316-356, June.
- Y. Malevergne & D. Sornette, 2001.
"Testing the Gaussian Copula Hypothesis for Financial Assets Dependences,"
- Y. Malevergne & D. Sornette, 2003. "Testing the Gaussian copula hypothesis for financial assets dependences," Quantitative Finance, Taylor & Francis Journals, vol. 3(4), pages 231-250.
- Y. Malevergne & D. Sornette, 2001. "Testing the Gaussian Copula Hypothesis for Financial Assets Dependences," Papers cond-mat/0111310, arXiv.org.
- Yannick Malevergne & Didier Sornette, 2003. "Testing the Gaussian copula hypothesis for financial assets dependences," Post-Print hal-00520539, HAL.
- Ang, Andrew & Chen, Joseph, 2002. "Asymmetric correlations of equity portfolios," Journal of Financial Economics, Elsevier, vol. 63(3), pages 443-494, March.
- Frederick C. Mills, 1927. "Introduction to "The Behavior of Prices"," NBER Chapters, in: The Behavior of Prices, pages 31-36 National Bureau of Economic Research, Inc.
- Joshua V. Rosenberg, 2003. "Nonparametric pricing of multivariate contingent claims," Staff Reports 162, Federal Reserve Bank of New York.
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