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Collateralized CDS and Default Dependence

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  • Masaaki Fujii
  • Akihiko Takahashi

Abstract

In this paper, we have studied the pricing of a continuously collateralized CDS. We have made use of the "survival measure" to derive the pricing formula in a straightforward way. As a result, we have found that there exists irremovable trace of the counter party as well as the investor in the price of CDS through their default dependence even under the perfect collateralization, although the hazard rates of the two parties are totally absent from the pricing formula. As an important implication, we have also studied the situation where the investor enters an offsetting back-to-back trade with another counter party. We have provided simple numerical examples to demonstrate the change of a fair CDS premium according to the strength of default dependence among the relevant names, and then discussed its possible implications for the risk management of the central counter parties.

Suggested Citation

  • Masaaki Fujii & Akihiko Takahashi, 2011. "Collateralized CDS and Default Dependence," Papers 1104.1855, arXiv.org.
    • Handle: RePEc:arx:papers:1104.1855
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    References listed on IDEAS

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    1. P. Collin-Dufresne & R. Goldstein & J. Hugonnier, 2004. "A General Formula for Valuing Defaultable Securities," Econometrica, Econometric Society, vol. 72(5), pages 1377-1407, September.
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    Cited by:

    1. Akihiko Takahashi & Toshihiro Yamada, 2012. "An Asymptotic Expansion for Forward-Backward SDEs: A Malliavin Calculus Approach," CARF F-Series CARF-F-296, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Sep 2013.
    2. Akihiko Takahashi & Toshihiro Yamada, 2012. "An Asymptotic Expansion for Forward-Backward SDEs; A Malliavin Calculus Aproach," CIRJE F-Series CIRJE-F-865, CIRJE, Faculty of Economics, University of Tokyo.
    3. Jean-Paul Laurent & Philippe Amzelek & Joe Bonnaud, 2014. "An overview of the valuation of collateralized derivative contracts," Review of Derivatives Research, Springer, vol. 17(3), pages 261-286, October.
    4. Rama Cont & Thomas Kokholm, 2013. "Central Clearing of OTC Derivatives: bilateral vs multilateral netting," Papers 1304.5065, arXiv.org.
    5. Cont Rama & Kokholm Thomas, 2014. "Central clearing of OTC derivatives: Bilateral vs multilateral netting," Statistics & Risk Modeling, De Gruyter, vol. 31(1), pages 3-22, March.

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