In single-obligor default risk modelling, using a background filtration in conjunction with a suitable embedding hypothesis (generally known as H-hypothesis or immersion property) has proven a very successful tool to separate the actual default event from the model for the default arrival...

In this paper, we present a model for the joint stochastic evolution of the cumulative loss process of a credit portfolio and of its probability distribution. At any given time, the loss distribution of the portfolio is represented using forward transition rates, i.e. the transition rates of a...

We develop intuitive expressions for the spread between a forwardcontract and a similar futures contract taking into account the pos-sibility of counterparty default. We evaluate these expressions nu-merically and show that the forward-futures spread is significant forrealistic parameter...

Most derivative contracts are traded over-the-counter, i.e., bilaterally between two counterparties. Recently, clearing services have become available that allow to transfer over-the-counter derivatives to a central counterparty (clearing house). We develop a framework to determine the effects...