Journal of Credit Risk
ISSN:
1744-6619 (print)
1755-9723 (online)
Editor-in-chief: Linda Allen and Jens Hilscher
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Credit value adjustment for credit default swaps via the structural default model
Alexander Lipton, Artur Sepp
Abstract
ABSTRACT
We present a multi-dimensional jump-diffusion version of a structural default model and show how to use it in order to value the credit value adjustment for a credit default swap. We develop novel analytical and numerical methods for solving the corresponding boundary value problem with a special emphasis on the role of negative asset value jumps. Using recent market data, we show that under realistic assumptions credit value adjustment greatly reduces the value of a credit default swap sold by a risky counterparty compared with one sold by a non-risky counterparty.We identify features having the biggest impact on credit value adjustment: namely, default correlation and spread volatility.
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