Abstract:This paper deals with the calibration of collateralized debt obligation(CDO) model and loss given default(LGD) distribution on the basis of the market data by minimizing the relative entropy.Stochastic recovery and generalized twofactors GaussCopula model are supposed.The computational result,which shows the skewed distribution of the default,can be considered as an modification of classical GaussCopula model.The iteration techniques are adopted to avoid the nonlinearity and nonsmooth of target function.The numerical results prove the stability and convergence of the algorithm.