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Pricing Financial Derivatives Subject to Multilateral Credit Risk and Collateralization

Author

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  • Xiao, Tim
Abstract
This article presents a new model for valuing financial contracts subject to credit risk and collateralization. Examples include the valuation of a credit default swap (CDS) contract that is affected by the trilateral credit risk of the buyer, seller and reference entity. We show that default dependency has a significant impact on asset pricing. In fact, correlated default risk is one of the most pervasive threats in financial markets. We also show that a fully collateralized CDS is not equivalent to a risk-free one. In other words, full collateralization cannot eliminate counterparty risk completely in the CDS market.

Suggested Citation

  • Xiao, Tim, 2019. "Pricing Financial Derivatives Subject to Multilateral Credit Risk and Collateralization," MPRA Paper 94441, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:94441
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    References listed on IDEAS

    as
    1. Michael Johannes & Suresh Sundaresan, 2007. "The Impact of Collateralization on Swap Rates," Journal of Finance, American Finance Association, vol. 62(1), pages 383-410, February.
    2. Alan V. Deardorff, 2011. "The General Validity of the Heckscher-Ohlin Theorem," World Scientific Book Chapters, in: Robert M Stern (ed.), Comparative Advantage, Growth, And The Gains From Trade And Globalization A Festschrift in Honor of Alan V Deardorff, chapter 11, pages 91-103, World Scientific Publishing Co. Pte. Ltd..
    3. Xiao, Tim, 2017. "A New Model for Pricing Collateralized OTC Derivatives," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 24(4), pages 8-20.
    4. Tim Xiao, 2017. "A New Model for Pricing Collateralized Financial Derivatives," Post-Print hal-01800559, HAL.
    5. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    6. Sanjiv R. Das & Darrell Duffie & Nikunj Kapadia & Leandro Saita, 2007. "Common Failings: How Corporate Defaults Are Correlated," Journal of Finance, American Finance Association, vol. 62(1), pages 93-117, February.
    7. Jean-Paul Laurent & Jon Gregory, 2005. "Basket default swaps, CDOs and factor copulas," Post-Print hal-03679517, HAL.
    8. Tomasz R. Bielecki & Igor Cialenco & Ismail Iyigunler, 2013. "Collateralized Cva Valuation With Rating Triggers And Credit Migrations," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 1-32.
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    10. Jorion, Philippe & Zhang, Gaiyan, 2007. "Good and bad credit contagion: Evidence from credit default swaps," Journal of Financial Economics, Elsevier, vol. 84(3), pages 860-883, June.
    11. Stéphane Crépey, 2015. "Bilateral Counterparty Risk Under Funding Constraints—Part Ii: Cva," Mathematical Finance, Wiley Blackwell, vol. 25(1), pages 23-50, January.
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    13. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
    14. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," The Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
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    16. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    17. Giesecke, Kay, 2004. "Correlated default with incomplete information," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1521-1545, July.
    18. Stéphane Crépey, 2015. "Bilateral Counterparty Risk Under Funding Constraints—Part I: Pricing," Mathematical Finance, Wiley Blackwell, vol. 25(1), pages 1-22, January.
    19. Lando, David & Nielsen, Mads Stenbo, 2010. "Correlation in corporate defaults: Contagion or conditional independence?," Journal of Financial Intermediation, Elsevier, vol. 19(3), pages 355-372, July.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    asset pricing; credit risk modeling; collateralization; comvariance; comrelation; correlation; CDS.;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • M21 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics - - - Business Economics
    • P45 - Political Economy and Comparative Economic Systems - - Other Economic Systems - - - International Linkages

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