An extension of Davis and Lo's contagion model
AbstractThe present paper provides a multi-period contagion model in the credit risk field. Our model is an extension of Davis and Lo's infectious default model. We consider an economy of n firms which may default directly or may be infected by other defaulting firms (a domino effect being also possible). The spontaneous default without external influence and the infections are described by not necessarily independent Bernoulli-type random variables. Moreover, several contaminations could be required to infect another firm. In this paper we compute the probability distribution function of the total number of defaults in a dependency context. We also give a simple recursive algorithm to compute this distribution in an exchangeability context. Numerical applications illustrate the impact of exchangeability among direct defaults and among contaminations, on different indicators calculated from the law of the total number of defaults. We then examine the calibration of the model on iTraxx data before and during the crisis. The dynamic feature together with the contagion effect seem to have a significant impact on the model performance, especially during the recent distressed period.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 0904.1653.
Date of creation: Apr 2009
Date of revision: Feb 2010
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Web page: http://arxiv.org/
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- NEP-ALL-2009-09-26 (All new papers)
- NEP-CMP-2009-09-26 (Computational Economics)
- NEP-RMG-2009-09-26 (Risk Management)
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