Levy Density Based Intensity Modeling of the Correlation Smile
The jump distribution for the default intensities in a reduced form framework is modeled and calibrated to provide reasonable fits to CDX.NA.IG and iTraxx Europe CDOs, to 5, 7 and 10 year maturities simultaneously. Calibration is carried out using an efficient Monte Carlo simulation algorithm suitable for both homogeneous and heterogeneous collections of credit names. The underlying jump process is found to relate closely to a maximally skewed stable Levy process with index of stability alpha ~ 1.5.
|Date of creation:||16 Jul 2008|
|Date of revision:||06 Apr 2009|
|Contact details of provider:|| Postal: Ludwigstraße 33, D-80539 Munich, Germany|
Web page: https://mpra.ub.uni-muenchen.de
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- Damiano Brigo & Andrea Pallavicini & Roberto Torresetti, 2008. "Default correlation, cluster dynamics and single names: The GPCL dynamical loss model," Papers 0812.4163, arXiv.org.
- Lindskog, Filip & McNeil, Alexander J., 2003. "Common Poisson Shock Models: Applications to Insurance and Credit Risk Modelling," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 33(02), pages 209-238, November.
- Balakrishna, B S, 2007. "Delayed Default Dependency and Default Contagion," MPRA Paper 14921, University Library of Munich, Germany, revised 15 May 2007.
- Edward I. Altman & Brooks Brady & Andrea Resti & Andrea Sironi, 2005. "The Link between Default and Recovery Rates: Theory, Empirical Evidence, and Implications," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2203-2228, November.
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