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Hazard rate for credit risk and hedging defaultable contingent claims

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  • Christophette Blanchet-Scalliet

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  • Monique Jeanblanc

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    Abstract

    We provide a concise exposition of theoretical results that appear in modeling default time as a random time, we study in details the invariance martingale property and we establish a representation theorem which leads, in a complete market setting, to the hedging portfolio of a vulnerable claim. Our main result is that, to hedge a defaultable claim one has to invest the value of this contingent claim in the defaultable zero-coupon. Copyright Springer-Verlag Berlin/Heidelberg 2004

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    File URL: http://hdl.handle.net/10.1007/s00780-003-0108-1
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    Bibliographic Info

    Article provided by Springer in its journal Finance and Stochastics.

    Volume (Year): 8 (2004)
    Issue (Month): 1 (January)
    Pages: 145-159

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    Handle: RePEc:spr:finsto:v:8:y:2004:i:1:p:145-159

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    Web page: http://www.springerlink.com/content/101164/

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    Related research

    Keywords: Default risk; representation theorem; hedging;

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    Cited by:
    1. Agostino Capponi & Jose Figueroa-Lopez & Jeffrey Nisen, 2011. "Pricing and Semimartingale Representations of Vulnerable Contingent Claims in Regime-Switching Markets," Papers 1110.0403, arXiv.org, revised Feb 2012.
    2. Delia Coculescu & Monique Jeanblanc & Ashkan Nikeghbali, 2012. "Default times, no-arbitrage conditions and changes of probability measures," Finance and Stochastics, Springer, vol. 16(3), pages 513-535, July.
    3. Philippe Ehlers & Philipp Schönbucher, 2009. "Background filtrations and canonical loss processes for top-down models of portfolio credit risk," Finance and Stochastics, Springer, vol. 13(1), pages 79-103, January.
    4. Christophette Blanchet-Scalliet & Anne Eyraud-Loisel & Manuela Royer-Carenzi, 2010. "Hedging of Defaultable Contingent Claims using BSDE with uncertain time horizon," Post-Print hal-00341431, HAL.
    5. Tomoaki Shouda, 2005. "Dynamical analysis of corporate bonds based on the yield spread term-quality surface," Asia-Pacific Financial Markets, Springer, vol. 12(4), pages 307-332, December.
    6. Christophette Blanchet-Scalliet & Anne Eyraud-Loisel & Manuela Royer-Carenzi, 2008. "Hedging of Defaultable Contingent Claims using BSDE with uncertain time horizon," Papers 0811.4039, arXiv.org, revised Sep 2009.
    7. Blanchet-Scalliet, Christophette & El Karoui, Nicole & Martellini, Lionel, 2005. "Dynamic asset pricing theory with uncertain time-horizon," Journal of Economic Dynamics and Control, Elsevier, vol. 29(10), pages 1737-1764, October.

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