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EMPIRICAL COPULAS FOR CDO TRANCHE PRICING USING RELATIVE ENTROPY

Michael A. H. Dempster, Elena A. Medova and Seung W. Yang
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Michael A. H. Dempster: Centre for Financial Research, Judge Business School, University of Cambridge, United Kingdom and Cambridge Systems Associates Limited, Cambridge, United Kingdom
Elena A. Medova: Centre for Financial Research, Judge Business School, University of Cambridge, United Kingdom and Cambridge Systems Associates Limited, Cambridge, United Kingdom
Seung W. Yang: Centre for Financial Research, Judge Business School, University of Cambridge, United Kingdom and Cambridge Systems Associates Limited, Cambridge, United Kingdom

Chapter 5 in Credit Correlation:Life After Copulas, 2007, pp 87-109 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractWe discuss the general optimization problem of choosing a copula with minimum entropy relative to a specified copula and a computationally intensive procedure to solve its dual. These techniques are applied to constructing an empirical copula for CDO tranche pricing. The empirical copula is chosen to be as close as possible to the industry standard Gaussian copula while ensuring a close fit to market tranche quotes. We find that the empirical copula performs noticeably better than the base correlation approach in pricing non-standard tranches and that the market view of default dependence is influenced by maturity.

Keywords: Credit Derivatives; Gaussian Copulas; Tranches; Credit Baskets; Base Correlations (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (4)

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