In this study, we derive an analytical solution for the expected loss and the higher moment of the discounted loss distribution for a collateralized loan. To ensure non-negative values for the intensity and interest rate, we assume a quadratic Gaussian process for the default intensity and...

The purpose of this paper is to demonstrate the powerful and flexible applicability of the Gram-Charlier expansion to pricing of a wide variety of interest rate related products involving interest rate risk and credit risk. In this paper, we develop easily implemented approximations of the...