Discussion Paper Series 2019-E-1

Wrong-way Risk in Credit Valuation Adjustment of Credit Default Swap with Copulas

Tetsuya Adachi, Takumi Sueshige, Toshinao Yoshiba

We compare several wrong-way risk models for the credit valuation adjustment of a credit default swap under a copula approach with stochastic default intensities. We show that the tail dependent copulas well capture the wrong-way risk for the credit valuation adjustment. To that end, we employ an affine jump diffusion process for the default intensity to derive the distribution function of the cumulative intensity, based on the copula approach. To reduce computing time, we propose an approximation method using the fractional fast Fourier transform and numerical integration to the characteristic function of the cumulative intensity.

Keywords: Credit valuation adjustment; Credit default swap; Affine jump diffusion; Fractional fast Fourier transform; Characteristic function

Views expressed in the paper are those of the authors and do not necessarily reflect those of the Bank of Japan or Institute for Monetary and Economic Studies.

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