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Collateralized CDS and Default Dependence -Implications for the Central Clearing-

Author

Listed:
  • Masaaki Fujii

    (Faculty of Economics, University of Tokyo)

  • Akihiko Takahashi

    (Faculty of Economics, University of Tokyo)

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 -Implications for the Central Clearing-," CIRJE F-Series CIRJE-F-799, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2011cf799
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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2011/2011cf799.pdf
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    References listed on IDEAS

    as
    1. Michael Johannes & Suresh Sundaresan, 2007. "The Impact of Collateralization on Swap Rates," Journal of Finance, American Finance Association, vol. 62(1), pages 383-410, February.
    2. 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.
    3. Masaaki Fujii & Akihiko Takahashi, 2010. "Modeling of Interest Rate Term Structures under Collateralization and its Implications," CIRJE F-Series CIRJE-F-762, CIRJE, Faculty of Economics, University of Tokyo.
    4. Masaaki Fujii & Akihiko Takahashi, 2010. "Asymmetric and Imperfect Collateralization, Derivative Pricing, and CVA," CIRJE F-Series CIRJE-F-781, CIRJE, Faculty of Economics, University of Tokyo.
    5. Masaaki Fujii & Yasufumi Shimada & Akihiko Takahashi, 2009. "A Note on Construction of Multiple Swap Curves with and without Collateral," CIRJE F-Series CIRJE-F-630, CIRJE, Faculty of Economics, University of Tokyo.
    6. Masaaki Fujii & Akihiko Takahashi, 2010. "Modeling of Interest Rate Term Structures under Collateralization and its Implications," CARF F-Series CARF-F-230, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Dec 2010.
    7. Duffie, Darrell & Huang, Ming, 1996. "Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-949, July.
    8. Masaaki Fujii & Yasufumi Shimada & Akihiko Takahashi, 2009. "A Market Model of Interest Rates with Dynamic Basis Spreads in the presence of Collateral and Multiple Currencies," CIRJE F-Series CIRJE-F-698, CIRJE, Faculty of Economics, University of Tokyo.
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    Cited by:

    1. Rama Cont & Thomas Kokholm, 2013. "Central Clearing of OTC Derivatives: bilateral vs multilateral netting," Papers 1304.5065, arXiv.org.
    2. 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.
    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. Cont Rama & Kokholm Thomas, 2014. "Central clearing of OTC derivatives: Bilateral vs multilateral netting," Statistics & Risk Modeling, De Gruyter, vol. 31(1), pages 1-20, March.
    5. 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.

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