Several models of how to price synthetic CDOs are presented. The study focuses on comparison of classical Gaussian copula with NIG copula, double t-copula and gaussian stochastic correlation model. Because the the t-copula is technically the most demanding of the presented approaches and usually...

We study saddlepoint approximations to the tail-distribution for different credit portfolio losses in continuous time intensity based models which stochastic recoveries, under conditional independent homogeneous settings. In such models, conditional on the filtration generated by the individual...

In this paper we present a tree model for defaultable bond prices which can be used for the pricing of credit derivatives. The model is based upon the two-factor Hull-White (1994) model for default-free interest rates, where one of the factors is taken to be the credit spread of the defaultable...

We introduce a novel class of credit risk models in which the drift of the survival process of a firm is a linear function of the factors. The prices of defaultable bonds and credit default swaps (CDS) are linear-rational in the factors. The price of a CDS option can be uniformly approximated by...

This paper investigates predictions of structural credit risk models for interest rate sensitivities of corporate bond returns. Recent evidence has shown that the existing models fail to capture this sensitivity (a stylized fact referred to as the interest rate sensitivity puzzle). We propose...

We discuss a general dynamic replication approach to counterparty credit risk modeling. This leads to a fundamental jump-process backward stochastic differential equation (BSDE) for the credit risk adjusted portfolio value. We then reduce the fundamental BSDE to a continuous BSDE. Depending on...

The return time series of Credit Default Swaps (CDS) display possibly the highest excess kurtosis and skewness of any asset class in capital markets. Capturing this requires a departure from classical modelling techniques. Here, the premise is that CDS prices jump and those jumps cluster....

We highlight important and specific characteristics of default risk and methodological implications. In a simulation contrasting independent, Gaussian and Clayton copulas, we also show that joint default probabilities might be a hidden source of risk in conventional portfolio models of default

We introduce a notion of market times that are stochastic processes in order to represent information delay in structural credit risk models. The market times are extensions of the time change process introduced by Guo, Jarrow and Zeng in the sense that each component of the market time is not...