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Multiple defaults and contagion risks

  • Ying Jiao

    ()

    (PMA - Laboratoire de Probabilités et Modèles Aléatoires - CNRS : UMR7599 - Université Pierre et Marie Curie - Paris VI - Université Paris-Diderot - Paris VII)

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    We study multiple defaults where the global market information is modelled as progressive enlargement of filtrations. We shall provide a general pricing formula by establishing a relationship between the enlarged filtration and the reference default-free filtration in the random measure framework. On each default scenario, the formula can be interpreted as a Radon-Nikodym derivative of random measures. The contagion risks are studied in the multi-defaults setting where we consider the optimal investment problem in a contagion risk model and show that the optimization can be effectuated in a recursive manner with respect to the default-free filtration.

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    Paper provided by HAL in its series Working Papers with number hal-00441500.

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    Date of creation: 16 Dec 2009
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    Handle: RePEc:hal:wpaper:hal-00441500
    Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00441500/en/
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    1. Philippe Ehlers & Philipp J. Schoenbucher, 2006. "Background Filtrations andCanonical Loss Processes for Top-Down Models of Portfolio Credit Risk," Swiss Finance Institute Research Paper Series 07-07, Swiss Finance Institute.
    2. R. J. Elliott & M. Jeanblanc & M. Yor, 2000. "On Models of Default Risk," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 179-195.
    3. Kunita, Hiroshi, 1971. "Asymptotic behavior of the nonlinear filtering errors of Markov processes," Journal of Multivariate Analysis, Elsevier, vol. 1(4), pages 365-393, December.
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