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Conditional dependency of financial series : an application of copulas

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Author Info
ROCKINGER, Michael
JONDEAU, Eric (Banque de France, DEER)

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Abstract

We develop a new methodology that measures conditional dependency. We achieve this by using copula functions that link marginal distributions, here chosen to obey a GARCH-type model with time-varying skewness and kurtosis. We apply this model to daily returns of stock-market indices. We find strong evidence of persistence in dependency both for local currency and $ US denominated series. For European stock markets, we also find evidence that large simultaneous returns of either sign lead to higher subsequent dependency.

We show that dependency changes through time, as well. For stock markets within Europe, dependency increased whereas it decreased since the mid 90s when involving the S&P 500 or the Nikkei.

We also suggest extensions for conditional asset pricing models involving time variation of co-skewness and co-kurtosis.

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Publisher Info
Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 723.

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Length: 43 pages
Date of creation: 01 Feb 2001
Date of revision:
Handle: RePEc:ebg:heccah:0723

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Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
Web page: http://www.hec.fr/
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Related research
Keywords: international correlation; market integration; Arch; stock indices; exchange rates;

Find related papers by JEL classification:
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
F39 - International Economics - - International Finance - - - Other
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

Cited by:
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  1. Andrea Beltratti & Claudio Morana, 2006. "Comovements in International Stock Markets," ICER Working Papers 3-2006, ICER - International Centre for Economic Research. [Downloadable!]
  2. Xiaohong Chen & Yanqin Fan, 2002. "Estimation of Copula-Based Semiparametric Time Series Models," Working Papers 0226, Department of Economics, Vanderbilt University, revised Oct 2004. [Downloadable!]
  3. Andrew Patton, 2001. "Estimation of Copula Models for Time Series of Possibly Different Length," University of California at San Diego, Economics Working Paper Series 2001-17, Department of Economics, UC San Diego. [Downloadable!]
  4. Claudio Morana, 2008. "International stock markets comovements: the role of economic and financial integration," Empirical Economics, Springer, vol. 35(2), pages 333-359, September. [Downloadable!] (restricted)
  5. Söehnke Bartram & Stephen Taylor & Yaw-Huei Wang, 2004. "The Euro and European Financial Market Integration," Money Macro and Finance (MMF) Research Group Conference 2004 49, Money Macro and Finance Research Group, revised 13 Oct 2004. [Downloadable!]
  6. Andrew J. Patton, 2006. "Estimation of multivariate models for time series of possibly different lengths," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(2), pages 147-173. [Downloadable!]
  7. Markus Junker & Alexander Szimayer & Niklas Wagner, 2004. "Nonlinear Term Structure Dependence: Copula Functions, Empirics, and Risk Implications," Econometrics 0401007, EconWPA. [Downloadable!]
  8. Fortin, Ines & Kuzmics, Christoph, 2002. "Tail-Dependence in Stock-Return Pairs," Economics Series 126, Institute for Advanced Studies. [Downloadable!]
  9. Shlomo Yitzhaki, 2003. "Gini’s Mean difference: a superior measure of variability for non-normal distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 285-316. [Downloadable!]
  10. Claudio Morana, 2006. "International Stock Markets Comovements: the Role of Economic and Financial Integration," ICER Working Papers 25-2006, ICER - International Centre for Economic Research. [Downloadable!]
  11. Anthony S. Tay & Aamir R. Hashmi, 2004. "Global and Regional Sources of Risk in Equity Markets: Evidence from Factor Models with Time-Varying Conditional Skewness," Econometric Society 2004 Far Eastern Meetings 634, Econometric Society. [Downloadable!]
    Other versions:
  12. Yanqin Fan & Xiaohong Chen, 2004. "Estimation of Copula-Based Semiparametric Time Series Models," Econometric Society 2004 Far Eastern Meetings 559, Econometric Society. [Downloadable!]
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