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Primary Article

On Default Correlation

A Copula Function Approach

David X. Li
The Journal of Fixed Income Spring 2000, 9 (4) 43-54; DOI: https://doi.org/10.3905/jfi.2000.319253
David X. Li
Vice president of risk management at AXA Financial in New York.
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Abstract

This article studies the problem of default correlation. It introduces a random variable called “time-until-default” to denote the survival time of each defaultable entity or financial instrument, and defines the default correlation between two credit risks as the correlation coefficient between their survival times. The author explains why a copula function approach should be used to specify the joint distribution of survival times after marginal distributions of survival times are derived from market information, such as risky bond prices or asset swap spreads. He shows that the current approach to default correlation through asset correlation is equivalent to using a normal copula function. Numerical examples illustrate the use of copula functions in the valuation of some credit derivatives, such as credit default swaps and first-to-default contracts.

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The Journal of Fixed Income
Vol. 9, Issue 4
Spring 2000
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On Default Correlation
David X. Li
The Journal of Fixed Income Mar 2000, 9 (4) 43-54; DOI: 10.3905/jfi.2000.319253

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On Default Correlation
David X. Li
The Journal of Fixed Income Mar 2000, 9 (4) 43-54; DOI: 10.3905/jfi.2000.319253
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