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...

In spite of its simplicity, the popular One Factor Gaussian Copula model remains the market standard for the valuation of CDO tranches and $n$-th to default. It suffers however from well-known weaknesses, mainly due to the tail behavior of the Normal distribution (namely: the tails are too...

This chapter explains how the main types of credit derivatives work and how they are valued. Central to the valuation of credit derivatives is an estimation of the probability that reference entities will default. The chapter discusses both the risk-neutral probabilities of default implied from...

Modeling the portfolio credit risk is one of the crucial issues of the last years in the financial problems. We propose the valuation model of Collateralized Debt Obligations based on a one- and two-parameter copula and default intensities estimated from market data. The presented method is used...