Credit risk management is a process in which banks estimate probability of default (PD) for each loan applicant. Data sets of previous loan applicants are built by gathering their data, and these internal data sets are usually completed using external credit bureau’s data and finally used for estimating PD in banks. There is also a continuous interest for bank to use rule based classifiers to b...

This thesis proposes a novel credit risk model which deals with incomplete information on the firm’s asset value. Such incompleteness is due to reporting bias deliberately introduced by insider managers and executives of the firm and unobserved by outsiders. The pricing of corporate securities and the evaluation of default measures in our credit risk framework requires the solution of a computa...

In the Black-Cox model, a firm makes default when its value hits an exponential barrier. Here, we propose an hybrid model that generalizes this framework. The default intensity can take two different values and switches when the firm value crosses the barrier. Of course, the intensity level is higher below the barrier. We get an analytic formula for the Laplace transform of the default time and...

In this document we show how to handle counterparty risk for Interest Rate Swaps (IRS). First we establish a general formula, showing that counterparty risk adds one level of optionality to the contract. Then we introduce the default probabilities using a deterministic intensity model where the default time is modeled as the first jump of a time-inhomogeneous Poisson process. We consider Credit...