Testing the Gaussian copula hypothesis for financial assets dependences
Using one of the key properties of copulas that they remain invariant under an arbitrary monotonic change of variable, we investigate the null hypothesis that the dependence between financial assets can be modelled by the Gaussian copula. We find that most pairs of currencies and pairs of major stocks are compatible with the Gaussian copula hypothesis, while this hypothesis can be rejected for the dependence between pairs of commodities (metals). Notwithstanding the apparent qualification of the Gaussian copula hypothesis for most of the currencies and the stocks, a non-Gaussian copula, such as the Student copula, cannot be rejected if it has sufficiently many 'degrees of freedom'. As a consequence, it may be very dangerous to embrace blindly the Gaussian copula hypothesis, especially when the coefficient of correlation between the pairs of assets is too high, such that the tail dependence neglected by the Gaussian copula can became large, leading to the ignoring of extreme events which may occur in unison.
|Date of creation:||2003|
|Publication status:||Published in Quantitative Finance, Taylor & Francis (Routledge), 2003, 3 (4), pp.231-250. <10.1088/1469-7688/3/4/301>|
|Note:||View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00520539|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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- Joshua Rosenberg, 1999. "Semiparametric Pricing of Multivariate Contingent Claims," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-028, New York University, Leonard N. Stern School of Business-.
- Taimur Baig & Ilan Goldfajn, 1999.
"Financial Market Contagion in the Asian Crisis,"
IMF Staff Papers,
Palgrave Macmillan, vol. 46(2), pages 1-3.
- Taimur Baig & Ilan Goldfajn, 1998. "Financial Market Contagion in the Asian Crisis," IMF Working Papers 98/155, International Monetary Fund.
- Ilan Goldfajn & Taimur Baig, 1999. "Financial market contagion in the Asian crisis," Textos para discussão 400, Department of Economics PUC-Rio (Brazil).
- Richard B. Olsen & Ulrich A. Müller & Michel M. Dacorogna & Olivier V. Pictet & Rakhal R. Davé & Dominique M. Guillaume, 1997. "From the bird's eye to the microscope: A survey of new stylized facts of the intra-daily foreign exchange markets (*)," Finance and Stochastics, Springer, vol. 1(2), pages 95-129.
- Umberto Cherubini & Elisa Luciano, 2002. "Multivariate Option Pricing with Copulas," ICER Working Papers - Applied Mathematics Series 05-2002, ICER - International Centre for Economic Research.
- Kaminsky, Graciela L. & Schmukler, Sergio L., 1999. "What triggers market jitters?: A chronicle of the Asian crisis," Journal of International Money and Finance, Elsevier, vol. 18(4), pages 537-560, August.
- Kaminsky, Graciela L. & Schmukler, Sergio L., 1999. "What triggers market jitters? A chronicle of the Asian crisis," Policy Research Working Paper Series 2094, The World Bank.
- Graciela L. Kaminsky & Sergio L. Schmukler, 1999. "What triggers market jitters: a chronicle of the Asian crisis," International Finance Discussion Papers 634, Board of Governors of the Federal Reserve System (U.S.).
- Klugman, Stuart A. & Parsa, Rahul, 1999. "Fitting bivariate loss distributions with copulas," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 139-148, March.
- Joe, H., 1993. "Parametric Families of Multivariate Distributions with Given Margins," Journal of Multivariate Analysis, Elsevier, vol. 46(2), pages 262-282, August.
- François Longin, 2001. "Extreme Correlation of International Equity Markets," Journal of Finance, American Finance Association, vol. 56(2), pages 649-676, 04.
- Pagan, Adrian, 1996. "The econometrics of financial markets," Journal of Empirical Finance, Elsevier, vol. 3(1), pages 15-102, May.
- Starica, Catalin, 1999. "Multivariate extremes for models with constant conditional correlations," Journal of Empirical Finance, Elsevier, vol. 6(5), pages 515-553, December.
- De Vries, C.G. & Leuven, K.U., 1994. "Stylized Facts of Nominal Exchange Rate Returns," Papers 94-002, Purdue University, Krannert School of Management - Center for International Business Education and Research (CIBER).
- P. Gopikrishnan & M. Meyer & L.A.N. Amaral & H.E. Stanley, 1998. "Inverse cubic law for the distribution of stock price variations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 3(2), pages 139-140, July. Full references (including those not matched with items on IDEAS)
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