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CVA for Bilateral Counterparty Risk under Alternative Settlement Conventions

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  • Cyril Durand
  • Marek Rutkowski
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    Abstract

    We depart from the usual methods for pricing contracts with the counterparty credit risk found in most of the existing literature. In effect, typically, these models do not account for either systemic effects or at-first-default contagion and postulate that the contract value at default equals either the risk-free value or the pre-default value. We propose instead a fairly general framework, which allows us to perform effective Credit Value Adjustment (CVA) computations for a contract with bilateral counterparty risk in the presence of systemic and wrong or right way risks. Our general methodology focuses on the role of alternative settlement clauses, but it is also aimed to cover various features of margin agreements. A comparative analysis of numerical results reported in the final section supports our initial conjecture that alternative specifications of settlement values have a non-negligible impact on the CVA computation for contracts with bilateral counterparty risk. This emphasizes the practical importance of more sophisticated models that are capable of fully reflecting the actual features of financial contracts, as well as the influence of the market environment.

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    File URL: http://arxiv.org/pdf/1307.6486
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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number 1307.6486.

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    Date of creation: Jul 2013
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    Handle: RePEc:arx:papers:1307.6486

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    1. T. R. Bielecki & S. Crépey & M. Jeanblanc & B. Zargari, 2012. "Valuation And Hedging Of Cds Counterparty Exposure In A Markov Copula Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 1250004-1-1.
    2. Markus K. Brunnermeier, 2009. "Deciphering the Liquidity and Credit Crunch 2007-2008," Journal of Economic Perspectives, American Economic Association, vol. 23(1), pages 77-100, Winter.
    3. Gary Gorton, 2008. "The Subprime Panic," Yale School of Management Working Papers amz2504, Yale School of Management.
    4. Robert A. Jarrow, 2001. "Counterparty Risk and the Pricing of Defaultable Securities," Journal of Finance, American Finance Association, vol. 56(5), pages 1765-1799, October.
    5. P. Collin-Dufresne & R. Goldstein & J. Hugonnier, 2004. "A General Formula for Valuing Defaultable Securities," Econometrica, Econometric Society, vol. 72(5), pages 1377-1407, 09.
    6. José M. Liberti & Atif R. Mian, 2010. "Collateral Spread and Financial Development," Journal of Finance, American Finance Association, vol. 65(1), pages 147-177, 02.
    7. Chuang Yi, 2011. "Dangerous Knowledge: Credit Value Adjustment With Credit Triggers," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 839-865.
    8. Ewerhart, Christian & Tapking, Jens, 2008. "Repo markets, counterparty risk and the 2007/2008 liquidity crisis," Working Paper Series 0909, European Central Bank.
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