Journal of Credit Risk

Contingent credit default swaps: accurate and approximate pricing

Christian Koziol and Thomas Schön

  • CCDS have several properties that fundamentally differ from those of CDS.
  • The authors propose simple approximate pricing formulae for CCDS.
  • The authors find that the approximate formulae work well in practical situations.


In this paper, we analyze the pricing of contingent credit default swaps (CCDSs), which provide protection against default losses in derivative transactions. In a framework with both asset and interest rate risk, we obtain a meaningful semi-analytical solution for CCDS prices with an interest rate swap as underlying. Our model yields three major contributions:

  • CCDSs have several properties that fundamentally differ from those of CDSs, despite the similar nature of the two instruments.
  • We propose simple approximate pricing formulas for CCDSs. While the first one only depends on the prices of observable traded assets, ie, the CDS quote, the value of a swaption and a zero-bond, the second approximation formula additionally requires volatility information.
  • We find that the approximate formulas work well in practical situations and converge to the true value for a financial institution with low default risk.

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