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Pricing credit default swaps with bilateral value adjustments

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  • Alexander Lipton
  • Ioana Savescu

Abstract

A three-dimensional extension of the structural default model with firms' values driven by correlated diffusion processes is presented. Green's function based semi-analytical methods for solving the forward calibration problem and backward pricing problem are developed. These methods are used to analyze bilateral counterparty risk for credit default swaps and evaluate the corresponding credit and debt value adjustments. It is shown that in many realistic cases these value adjustments can be surprisingly large.

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  • Alexander Lipton & Ioana Savescu, 2012. "Pricing credit default swaps with bilateral value adjustments," Papers 1207.6049, arXiv.org.
  • Handle: RePEc:arx:papers:1207.6049
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    References listed on IDEAS

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    1. Bianca Hilberink & L.C.G. Rogers, 2002. "Optimal capital structure and endogenous default," Finance and Stochastics, Springer, vol. 6(2), pages 237-263.
    2. Helen Haworth & Christoph Reisinger & William Shaw, 2008. "Modelling bonds and credit default swaps using a structural model with contagion," Quantitative Finance, Taylor & Francis Journals, vol. 8(7), pages 669-680.
    3. Leland, Hayne E & Toft, Klaus Bjerre, 1996. "Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads," Journal of Finance, American Finance Association, vol. 51(3), pages 987-1019, July.
    4. Artur Sepp, 2004. "Analytical Pricing Of Double-Barrier Options Under A Double-Exponential Jump Diffusion Process: Applications Of Laplace Transform," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 7(02), pages 151-175.
    5. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    6. Hua He & William P. Keirstead & Joachim Rebholz, 1998. "Double Lookbacks," Mathematical Finance, Wiley Blackwell, vol. 8(3), pages 201-228, July.
    7. Damiano Brigo & Kyriakos Chourdakis, 2009. "Counterparty Risk For Credit Default Swaps: Impact Of Spread Volatility And Default Correlation," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 1007-1026.
    8. Alexander Lipton, 2001. "Mathematical Methods for Foreign Exchange:A Financial Engineer's Approach," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 4694, February.
    9. Li Chen & Damir Filipovic, 2003. "Pricing Credit Default Swaps Under Default Correlations and Counterparty Risk," Finance 0303009, University Library of Munich, Germany.
    10. Christophette Blanchet-Scalliet & Frédéric Patras, 2011. "Structural Counterparty Risk Valuation for Credit Default Swaps," Post-Print hal-00594194, HAL.
    11. Liming Feng & Vadim Linetsky, 2008. "Pricing Discretely Monitored Barrier Options And Defaultable Bonds In Lévy Process Models: A Fast Hilbert Transform Approach," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 337-384, July.
    12. In Joon Kim & Krishna Ramaswamy & Suresh Sundaresan, 1993. "Does Default Risk in Coupons Affect the Valuation of Corporate Bonds?: A Contingent Claims Model," Financial Management, Financial Management Association, vol. 22(3), Fall.
    13. Claudio Albanese & Oliver Chen, 2005. "Discrete credit barrier models," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 247-256.
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