Journal of Credit Risk

Pricing kth-to-default swaps in a Lévy-time framework

Jan-Frederik Mai, Matthias Scherer


A multivariate credit risk model is presented that introduces dependence to individual default events via a stochastic time change. To demonstrate its practical value, this model is applied to the pricing of kth-to-default swaps. Despite the freedom in specifying the term structures of individual default probabilities, it is still possible to present closed-form solutions for the resulting portfolio loss distribution. Hence, the model can be used to simultaneously explain spreads of individual credit default and kth-to-default swaps. Moreover, the stochastic time change introduces a dynamic component that allows for the consistent pricing of credit derivatives across all maturities. Qualitative and quantitative results on the dependence structure include the induced copula of the default times, the pairwise default correlation, the lower-extremal dependence coefficient and the distribution of the kth default time.

Sorry, our subscription options are not loading right now

Please try again later. Get in touch with our customer services team if this issue persists.

New to View our subscription options

You need to sign in to use this feature. If you don’t have a account, please register for a trial.

Sign in
You are currently on corporate access.

To use this feature you will need an individual account. If you have one already please sign in.

Sign in.

Alternatively you can request an individual account here