In this thesis I develop a model for describing the dynamic behavior of Credit Migration Matrices under a Point-in-time Rating Philosophy. Characteristics of the yearly Migration Matrices following a Point-in-Time Philosophy are presented. Through the introduction of the concept of Rating...

In the first part we consider a dynamical model for the number of defaults of a pool of names. The model is based on the notion of generalized Poisson process, allowing for more than one default in small time intervals, contrary to many alternative approaches to loss modeling. We illustrate how...

In this paper we present two (semi)-analytic synthetic CDO tranche pricing formulas using a subordinator Levy Marshall-Olkin credit correlation model. These formulas can be easily evaluated in terms of machine computational time, therefore they are particularly suitable for the correlation model...

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...

Modelling portfolio credit risk is one of the crucial challenges faced by financial services industry in the last few years. We propose the valuation model of collateralized debt obligations (CDO) based on copula functions with up to three parameters, with default intensities estimated from...