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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, 2005Suggested CitationContact Information
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