Sequential Importance Sampling and Resampling for Dynamic Portfolio Credit Risk
26 Pages Posted: 9 Sep 2010 Last revised: 7 Mar 2011
Date Written: September 8, 2010
Abstract
We provide a sequential Monte Carlo method for estimating rare-event probabilities in dynamic, intensity-based point process models of portfolio credit risk. The method is based on a change of measure and involves a resampling mechanism. We propose resampling weights that lead, under technical conditions, to a logarithmically efficient simulation estimator of the probability of large portfolio losses. A numerical analysis illustrates the features of the method, and contrasts it with other rare-event schemes recently developed for portfolio credit risk, including an interacting particle scheme and an importance sampling scheme.
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