CDS calibration under an extended JDCEV model

ABSTRACT

We propose a new methodology for the calibration of a hybrid credit-equity model to credit default swap (CDS) spreads and survival probabilities. We consider an extended Jump to Default Constant Elasticity of Variance model incorporating stochastic and possibly negative interest rates. Our approach is based on a perturbation technique that provides an explicit asymptotic expansion of the CDS spreads. The robustness and efficiency of the method is confirmed by several calibration tests on real market data.

KEYWORDS:

• Credit default swap
• hybrid credit-equity model
• constant elasticity of variance model
• asymptotic expansion

2010 MSC SUBJECT CLASSIFICATIONS:

• 65C30
• 91B70

Disclosure statement

No potential conflict of interest was reported by the authors.