Credit default swap (CDS) spreads can only be decomposed into the probability of default and the loss-given-default by imposing some structure. Employing a hybrid binomial tree for equities and a recovery function, Das and Hanouna (2009) obtain accurate estimates for CDS spreads by fitting the model to historical equity volatilities. We extend their approach by including the full implied volatility surface, developing an implied binomial tree with a jump to default based on extending the Derman and Kani (1994) tree. We then evaluate the effect of including the full volatility surface on the implied CDS recovery rate.

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Keywords Credit default swap, Recovery rates, Implied tree models, Implied volatility, Local volatility, Option pricing
JEL Mathematical Methods (jel C02), Estimation (jel C13), Asset Pricing (jel G12), Contingent Pricing; Futures Pricing (jel G13)
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Journal Journal of Economic Dynamics and Control
Jansen, J, Das, S.R, & Fabozzi, F.J. (2018). Local volatility and the recovery rate of credit default swaps. Journal of Economic Dynamics and Control, 92(July 2018), 1–29. doi:10.1016/j.jedc.2018.04.002