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Empirical estimation of tail dependence using copulas: application to Asian markets

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Author Info
Cyril Caillault
Dominique Guégan

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Abstract

This paper introduces non-parametric estimators for upper and lower tail dependence whose confidence intervals are obtained with a bootstrap method. We call these estimators 'naïve estimators’ as they represent a discretization of Joe's formulae linking copulas to tail dependence. We apply the methodology to an empirical data set composed of three composite indexes for the three Tigers (Thailand, Malaysia and Indonesia). The extremes show a dependence structure which is symmetric for the Thai and Malaysian markets and asymmetric for the Thai and Indonesian markets and for the Malaysian and the Indonesian markets. Using these results we estimate the copula (which belongs to the Student or Archimedean copula families) for each pair of markets by two methods. Finally, we provide risk measurements using the best copula associated with each pair of markets.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal Quantitative Finance.

Volume (Year): 5 (2005)
Issue (Month): 5 (October)
Pages: 489-501
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Handle: RePEc:taf:quantf:v:5:y:2005:i:5:p:489-501

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  1. Dominique Guegan, 2005. "How can we define the concept of long memory ? An econometric survey," Post-Print halshs-00179343_v1, HAL. [Downloadable!]
    Other versions:
  2. Dominique Guegan & Cyril Caillault, 2008. "Forecasting VaR and Expected shortfall using dynamical Systems : a risk Management Strategy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00185374_v1, HAL. [Downloadable!]
    Other versions:
  3. Dominique Guegan & Jing Zhang, 2009. "Change analysis of dynamic copula for measuring dependence in multivariate financial data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00368334_v1, HAL. [Downloadable!]
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  4. Dominique Guégan, 2009. "A Meta-Distribution for Non-Stationary Samples," CREATES Research Papers 2009-24, School of Economics and Management, University of Aarhus. [Downloadable!]
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