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A Note On The Double Impact On Cva For Cds: Wrong-Way Risk With Stochastic Recovery

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  • HUI LI

    (13 Old Kings Hwy, Old Greenwich, CT 06870, USA)

Abstract

Current CVA modeling framework has ignored the impact of stochastic recovery rate. Due to the possible negative correlation between default and recovery rate, stochastic recovery rate could have a doubling effect on wrong-way risk. In the case of a payer CDS, when counterparty defaults, the CDS value could be higher due to default contagion while the recovery rate may also be lower if the economy is in a downturn. Using our recently proposed model of correlated stochastic recovery in the default time Gaussian copula framework, we demonstrate this double impact on wrong-way risk in the CVA calculation for a payer CDS. We also present a new form of Gaussian copula that correlates both default time and recovery rate.

Suggested Citation

  • Hui Li, 2013. "A Note On The Double Impact On Cva For Cds: Wrong-Way Risk With Stochastic Recovery," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 1-14.
    • Handle: RePEc:wsi:ijtafx:v:16:y:2013:i:03:n:s0219024913500131
    DOI: 10.1142/S0219024913500131
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    References listed on IDEAS

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    1. Damiano Brigo & Agostino Capponi, 2008. "Bilateral counterparty risk valuation with stochastic dynamical models and application to Credit Default Swaps," Papers 0812.3705, arXiv.org, revised Nov 2009.
    2. Li, Hui, 2009. "On Models of Stochastic Recovery for Base Correlation," MPRA Paper 15750, University Library of Munich, Germany.
    3. Li, Yadong, 2009. "A Dynamic Correlation Modelling Framework with Consistent Stochastic Recovery," MPRA Paper 14919, University Library of Munich, Germany, revised 02 Apr 2009.
    4. Christophette Blanchet-Scalliet & Fr'ed'eric Patras, 2008. "Counterparty risk valuation for CDS," Papers 0807.0309, arXiv.org.
    5. Li, Hui, 2008. "CVA calculation for CDS on super senior ABS CDO," MPRA Paper 17945, University Library of Munich, Germany.
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    Cited by:

    1. Harb, Etienne & Louhichi, Wael, 2017. "Pricing CDS spreads with Credit Valuation Adjustment using a mixture copula," Research in International Business and Finance, Elsevier, vol. 39(PB), pages 963-975.
    2. Li, Hui, 2010. "Downturn LGD: A Spot Recovery Approach," MPRA Paper 71986, University Library of Munich, Germany, revised 30 Apr 2013.

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