Abstract:
We present an importance sampling procedure for the estimation of multifactor portfolio credit risk for the t -copula model, i.e, the case where the risk factors have the...Show MoreMetadata
Abstract:
We present an importance sampling procedure for the estimation of multifactor portfolio credit risk for the t -copula model, i.e, the case where the risk factors have the multivariate t distribution. We use a version of the multivariate t that can be expressed as a ratio of a multivariate normal and a scaled chi-square random variable. The procedure consists of two steps. First, using the large deviations result for the Gaussian model in Glasserman, Kang, and Shahabuddin (2005a), we devise and apply a change of measure to the chi-square random variable. Then, conditional on the chi-square random variable, we apply the importance sampling procedure developed for the Gaussian copula model in Glasserman, Kang, Shahabuddin (2005b). We support our importance sampling procedure by numerical examples.
Published in: Proceedings of the Winter Simulation Conference, 2005.
Date of Conference: 04-04 December 2005
Date Added to IEEE Xplore: 23 January 2006
Print ISBN:0-7803-9519-0