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An Explicit, Multi-Factor Credit Default Swap Pricing Model with Correlated Factors

Published online by Cambridge University Press:  06 April 2009

Ren-Raw Chen ,
Xiaolin Cheng ,
Frank J. Fabozzi  and
Bo Liu
Ren-Raw Chen
Affiliation:
rchen@rci.rutgers.edu, Rutgers University, Rutgers Business School-New Brunwsick, 94 Rockafeller Road, Piscataway, NJ 08854
Xiaolin Cheng
Affiliation:
xiaolin.cheng@moodys.com, Moody's Investor Service, 7 WTC, 250 Greenwich Street, New York, NY 10007
Frank J. Fabozzi
Affiliation:
frank.fabozzi@yale.edu, Yale University, School of Management, PO Box 20800, New Haven, CT 06520;
Bo Liu
Affiliation:
bo.liu@citi.com, Citigroup Global Market Inc., 390 Greenwich Street, New York, NY 10013.
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Abstract

With the recent significant growth in the single-name credit default swap (CDS) market has come the need for accurate and computationally efficient models to value these instruments. While the model developed by Duffie, Pan, and Singleton (2000) can be used, the solution is numerical (solving a series of ordinary differential equations) rather than explicit. In this paper, we provide an explicit solution to the valuation of a credit default swap when the interest rate and the hazard rate are correlated by using the “change of measure” approach and solving a bivariate Riccati equation. CDS transaction data for the period 2/15/2000 through 4/8/2003 for 60 firms are used to test both the goodness of fit of the model and provide estimates of the influence of economic variables in the market for credit-risky bonds.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 43 , Issue 1 , March 2008 , pp. 123 - 160
Copyright
Copyright © School of Business Administration, University of Washington 2008

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