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A note on the valuation of CDS options and extension risk in a structural model with jumps

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  • Amelie Hüttner

    (Chair of Mathematical Finance, Technische Universität München, Parkring 11, 85748 Garching-Hochbrück, Germany)

  • Matthias Scherer

    (Chair of Mathematical Finance, Technische Universität München, Parkring 11, 85748 Garching-Hochbrück, Germany)

Abstract

We consider the valuation of single name CDS options (CDSO) and related optionalities, particularly extension risk, in the structural default model introduced by Chen and Kou (2009). This jump-diffusion based model is able to generate realistic dynamics for CDS spreads and has decent calibration performance. Due to the European character of the considered options, they can be valued with an efficient Monte Carlo algorithm based on Brownian bridges, adapted from Ruf and Scherer (2011). In contrast to the intensity approach, structural models offer a link to the equity side of a firm’s capital structure, possibly enabling to hedge CDS options with instruments other than CDS.

Suggested Citation

  • Amelie Hüttner & Matthias Scherer, 2016. "A note on the valuation of CDS options and extension risk in a structural model with jumps," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 1-16, June.
    • Handle: RePEc:wsi:ijfexx:v:03:y:2016:i:02:n:s2424786316500110
    DOI: 10.1142/S2424786316500110
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    References listed on IDEAS

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    1. Tomasz Bielecki & Monique Jeanblanc & Marek Rutkowski, 2011. "Hedging of a credit default swaption in the CIR default intensity model," Finance and Stochastics, Springer, vol. 15(3), pages 541-572, September.
    2. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    3. Henrik Jönsson & Wim Schoutens, 2008. "Single name credit default swaptions meet single sided jump models," Review of Derivatives Research, Springer, vol. 11(1), pages 153-169, March.
    4. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    5. Damiano Brigo & Naoufel El-Bachir, 2007. "An exact formula for default swaptions' pricing in the SSRJD stochastic intensity model," ICMA Centre Discussion Papers in Finance icma-dp2007-14, Henley Business School, University of Reading.
    6. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    7. Marek Rutkowski & Anthony Armstrong, 2009. "Valuation Of Credit Default Swaptions And Credit Default Index Swaptions," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 1027-1053.
    8. Farshid Jamshidian, 2004. "Valuation of credit default swaps and swaptions," Finance and Stochastics, Springer, vol. 8(3), pages 343-371, August.
    9. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
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