Title
Fast simulation for multifactor portfolio credit risk in the t-copula model
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.
Year
DOI
Venue
2005
10.1109/WSC.2005.1574462
Winter Simulation Conference
Keywords
Field
DocType
large deviations result,gaussian copula model,risk factor,gaussian model,numerical example,fast simulation,t-copula model,chi-square random variable,multifactor portfolio credit risk,financial management,random variable,gaussian processes,multivariate normal,importance sampling,risk factors,risk management
Multivariate t-distribution,Econometrics,Importance sampling,Random variable,Computer science,Copula (linguistics),Multivariate statistics,Copula (probability theory),Multivariate normal distribution,Gaussian process,Statistics
Conference
ISBN
Citations 
PageRank 
0-7803-9519-0
3
0.54
References 
Authors
2
2
Name
Order
Citations
PageRank
Wanmo Kang130.54
Perwez Shahabuddin21364181.65