A note on the valuation of CDS options and extension risk in a structural model with jumps

Abstract

We consider the valuation of single name CDS options (CDSO) and related optionalities, particularly extension risk, in the structural default model introduced by Chen and Kou (2009). This jump-diffusion based model is able to generate realistic dynamics for CDS spreads and has decent calibration performance. Due to the European character of the considered options, they can be valued with an efficient Monte Carlo algorithm based on Brownian bridges, adapted from Ruf and Scherer (2011). In contrast to the intensity approach, structural models offer a link to the equity side of a firm’s capital structure, possibly enabling to hedge CDS options with instruments other than CDS.