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A dynamic programming approach for pricing CDS and CDS options

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Author Info

  • Hatem Ben-Ameur
  • Damiano Brigo
  • Eymen Errais

Abstract

We propose a flexible framework for pricing single-name knock-out credit derivatives. Examples include Credit Default Swaps (CDSs) and European, American and Bermudan CDS options. The default of the underlying reference entity is modelled within a doubly stochastic framework where the default intensity follows a CIR++ process. We estimate the model parameters through a combination of a cross sectional calibration-based method and a historical estimation approach. We propose a numerical procedure based on dynamic programming and a piecewise linear approximation to price American-style knock-out credit options. Our numerical investigation shows consistency, convergence and efficiency. We find that American-style CDS options can complete the credit derivatives market by allowing the investor to focus on spread movements rather than on the default event.

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File URL: http://www.tandfonline.com/doi/abs/10.1080/14697680802595619
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Bibliographic Info

Article provided by Taylor and Francis Journals in its journal Quantitative Finance.

Volume (Year): 9 (2009)
Issue (Month): 6 ()
Pages: 717-726
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Handle: RePEc:taf:quantf:v:9:y:2009:i:6:p:717-726

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For corrections or technical questions regarding this item, or to correct its listing, contact: (Michael McNulty).

Related research

Keywords: Credit derivatives; Credit default swaps; Bermudan options; Dynamic programming; Doubly stochastic Poisson process; Cox process;

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Cited by:
  1. Richard J Martin, 2011. "A CDS Option Miscellany," Quantitative Finance Papers 1201.0111, arXiv.org.

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