Abstract:This paper develops an efficient simulation method to calculate credit portfolio risks when the risk factors have heavy-tailed distributions. In modeling heavy tails,the features of return on the underlying assets are captured by multivariate t-copula. Moreover,a three-step importance sampling ( IS) technique is devel-oped in the t-copula credit portfolio risk measure model for further variance reduction. This broadens and enri-ches credit portfolio risk measure models. Simultaneously,the Levenberg-Marquardt algorithm associated with nonlinear optimal technique is applied to estimate the mean-shift vector of the systematic risk factors after the probability measure changes. Numerical results show that IS technique based on t-copula is more efficient and accurate than plain Monte Carlo simulation in calculating the tail probability of distribution of portfolio loss ( or VaR of credit portfolio risk under a given confidence level) and that the IS technique can decrease the vari-ance of estimation on the tail probability to a great degree.