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Valuation Of Credit Default Swaptions And Credit Default Index Swaptions

Author

Listed:
  • MAREK RUTKOWSKI

    (School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia)

  • ANTHONY ARMSTRONG

    (School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia)

Abstract

The paper provides simple and rigorous, albeit fairly general, derivations of valuation formulae for credit default swaptions and credit default index swaptions. Results of this work cover as special cases the pricing formulae derived previously by Jamshidian [Finance and Stochastics 8 (2004) 343–371], Pedersen [Quantitative Credit Research (2003)], Brigo and Morini (2005), and Morini and Brigo (2007). Most results presented in this work are completely independent of a particular convention regarding the specification of the fee and protection legs and thus they can also be used for valuation of other credit derivatives that exhibit similar features (for instance, options on CDO tranches). The main tools are a judicious choice of the reference filtration and a suitable specification of the risk-neutral dynamics for the pre-default (loss-adjusted) fair market spread.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijtafx:v:12:y:2009:i:07:n:s0219024909005579
    DOI: 10.1142/S0219024909005579
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    Citations

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    Cited by:

    1. Yoshihiro Shirai, 2023. "A Levy-driven Ornstein-Uhlenbeck process for the valuation of credit index swaptions," Papers 2301.05332, arXiv.org, revised Oct 2023.
    2. 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.
    3. Carl Chiarella & Samuel Chege Maina & Christina Nikitopoulos Sklibosios, 2013. "Credit Derivatives Pricing With Stochastic Volatility Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 1-28.
    4. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2011.
    5. 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.
    6. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 5, July-Dece.

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