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Local volatility and the recovery rate of credit default swaps

Author

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  • Jansen, Jeroen
  • Das, Sanjiv R.
  • Fabozzi, Frank J.

Abstract

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.

Suggested Citation

  • Jansen, Jeroen & Das, Sanjiv R. & Fabozzi, Frank J., 2018. "Local volatility and the recovery rate of credit default swaps," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 1-29.
    • Handle: RePEc:eee:dyncon:v:92:y:2018:i:c:p:1-29
    DOI: 10.1016/j.jedc.2018.04.002
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    References listed on IDEAS

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    2. Nazemi, Abdolreza & Baumann, Friedrich & Fabozzi, Frank J., 2022. "Intertemporal defaulted bond recoveries prediction via machine learning," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1162-1177.

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    More about this item

    Keywords

    Credit default swap; Recovery rates; Implied tree models; Implied volatility; Local volatility; Option pricing;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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