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Default Risk and Diversification: Theory and Empirical Implications

Robert A. Jarrow
Cornell University - Samuel Curtis Johnson Graduate School of Management

David Lando
Copenhagen Business School - Department of Finance

Fan Yu
Claremont McKenna College - Robert Day School of Economics and Finance



Mathematical Finance, Vol. 15, No. 1, pp. 1-26, January 2005

Abstract:     
Recent advances in the theory of credit risk allow the use of standard term structure machinery for default risk modeling and estimation. The empirical literature in this area often interprets the drift adjustments of the default intensity's diffusion state variables as the only default risk premium. We show that this interpretation implies a restriction on the form of possible default risk premia, which can be justified through exact and approximate notions of "diversifiable default risk." The equivalence between the empirical and martingale default intensities that follows from diversifiable default risk greatly facilitates the pricing and management of credit risk. We emphasize that this is not an equivalence in distribution, and illustrate its importance using credit spread dynamics estimated in Duffee (1999). We also argue that the assumption of diversifiability is implicitly used in certain existing models of mortgage-backed securities.

Accepted Paper Series

Date posted: December 30, 2004 ; Last revised: January 20, 2005

Suggested Citation

Jarrow, Robert A., Lando, David and Yu, Fan, Default Risk and Diversification: Theory and Empirical Implications. Mathematical Finance, Vol. 15, No. 1, pp. 1-26, January 2005. Available at SSRN: http://ssrn.com/abstract=639778


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Contact Information

Robert A. Jarrow (Contact Author)
Cornell University - Samuel Curtis Johnson Graduate School of Management ( email )
Department of Finance
Ithaca, NY 14853
United States
607-255-4729 (Phone)
607-254-4590 (Fax)
David Lando
Copenhagen Business School - Department of Finance ( email )
Solbjerg Plads 3
DK - 2000 Frederiksberg Denmark
+45 3815 3600 (Fax)
Fan Yu
Claremont McKenna College - Robert Day School of Economics and Finance ( email )
500 E. Ninth St.
Claremont, CA 91711-6420
United States
(909)607-3345 (Phone)
HOME PAGE: http://www.cmc.edu/academic/faculty/profile.asp?Fac=553
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