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Empirical Analysis of Credit Risk Regime Switching and Temporal Conditional Default Correlation in Credit Default Swap Valuation: The Market liquidity effect

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  • Kwamie Dunbar

    (University of Connecticut, Stamford, and Sacread Heart University)

  • Albert J. Edwards

    (Northeast Utilities Service Company)

Abstract

In this paper, we extend the debate concerning Credit Default Swap valuation to include time varying correlation and co-variances. Traditional multi-variate techniques treat the correlations between covariates as constant over time; however, this view is not supported by the data. Secondly, since financial data does not follow a normal distribution because of its heavy tails, modeling the data using a Generalized Linear model (GLM) incorporating copulas emerge as a more robust technique over traditional approaches. This paper also includes an empirical analysis of the regime switching dynamics of credit risk in the presence of liquidity by following the general practice of assuming that credit and market risk follow a Markov process. The study was based on Credit Default Swap data obtained from Bloomberg that spanned the period January 1st 2004 to August 08th 2006. The empirical examination of the regime switching tendencies provided quantitative support to the anecdotal view that liquidity decreases as credit quality deteriorates. The analysis also examined the joint probability distribution of the credit risk determinants across credit quality through the use of a copula function which disaggregates the behavior embedded in the marginal gamma distributions, so as to isolate the level of dependence which is captured in the copula function. The results suggest that the time varying joint correlation matrix performed far superior as compared to the constant correlation matrix; the centerpiece of linear regression models.

Suggested Citation

  • Kwamie Dunbar & Albert J. Edwards, 2007. "Empirical Analysis of Credit Risk Regime Switching and Temporal Conditional Default Correlation in Credit Default Swap Valuation: The Market liquidity effect," Working papers 2007-10, University of Connecticut, Department of Economics.
  • Handle: RePEc:uct:uconnp:2007-10
    Note: We are extremely grateful to Ben Fine, Department of Mathematics, Fairfield University, for his many insightful suggestions and guidance which helped to improve the final manuscript. This is a preprint of an article submitted for consideration in the Journal of Empirical Finance.
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    References listed on IDEAS

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    1. Duffie, Darrell & Saita, Leandro & Wang, Ke, 2007. "Multi-period corporate default prediction with stochastic covariates," Journal of Financial Economics, Elsevier, vol. 83(3), pages 635-665, March.
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    4. Madan, Dilip & Unal, Haluk, 2000. "A Two-Factor Hazard Rate Model for Pricing Risky Debt and the Term Structure of Credit Spreads," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(01), pages 43-65, March.
    5. Elisa Luciano, 2007. "Calibrating risk-neutral default correlation," Journal of Risk Finance, Emerald Group Publishing, vol. 8(5), pages 450-464, November.
    6. Andrew J. Patton, 2006. "Modelling Asymmetric Exchange Rate Dependence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 527-556, May.
    7. Long Chen & David A. Lesmond & Jason Wei, 2007. "Corporate Yield Spreads and Bond Liquidity," Journal of Finance, American Finance Association, vol. 62(1), pages 119-149, February.
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    More about this item

    Keywords

    Credit Default Swaps; Market Liquidity; Copulas; Joint conditional distributions; Markov process; Regime Switching; Illiquidity; and Correlation.;

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