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Pricing And Hedging In A Dynamic Credit Model

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  • YOUSSEF ELOUERKHAOUI

    ()
    (CITIGROUP, Canada Square, Canary Wharf, London E14 5LB, United Kingdom)

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    Abstract

    In this paper, we present a methodology for pricing and hedging portfolio credit derivatives in a dynamic credit model. Starting with a single-name Marshall–Olkin framework, we build a dynamic top-down version of the model, which is tractable and preserves the intuition of the original setting. In the first part of the paper, we derive analytically the Fourier transform of the loss variable and we study the skew dynamics implied by the model. In the second part, we develop a theory for dynamic hedging of portfolio credit derivatives. Since the market is incomplete, due to the residual correlation risk, perfect replication cannot be achieved. To find the hedging strategies, we use a quadratic risk minimization criterion.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance.

    Volume (Year): 10 (2007)
    Issue (Month): 04 ()
    Pages: 703-731

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    Handle: RePEc:wsi:ijtafx:v:10:y:2007:i:04:p:703-731

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    Web page: http://www.worldscinet.com/ijtaf/ijtaf.shtml

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    Related research

    Keywords: Marshall–Olkin model; common poisson shocks; dynamic copula; asymptotic series expansion; top-down approach; forward skew; marked point process; market incompleteness; dynamic hedging; quadratic risk minimization; Föllmer–Sondermann approach;

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    Cited by:
    1. Bielecki, T.R. & Cousin, A. & Crépey, S. & Herbertsson, Alexander, 2012. "A Markov Copula Model of Portfolio Credit Risk with Stochastic Intensities and Random Recoveries," Working Papers in Economics 545, University of Gothenburg, Department of Economics.
    2. Bielecki, Tomasz R. & Cousin, Areski & Crépey, Stéphane & Herbertsson, Alexander, 2011. "Dynamic Hedging of Portfolio Credit Risk in a Markov Copula Model (Previous title: Dynamic Modeling of Portfolio Credit Risk with Common Shocks)," Working Papers in Economics 502, University of Gothenburg, Department of Economics, revised 12 Oct 2012.

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