Counterparty Risk For Credit Default Swaps: Impact Of Spread Volatility And Default Correlation
Abstract
We consider counterparty risk for Credit Default Swaps (CDS) in presence of correlation between default of the counterparty and default of the CDS reference credit. Our approach is innovative in that, besides default correlation, which was taken into account in earlier approaches, we also model credit spread volatility. Stochastic intensity models are adopted for the default events, and defaults are connected through a copula function. We find that both default correlation and credit spread volatility have a relevant impact on the positive counterparty-risk credit valuation adjustment to be subtracted from the counterparty-risk free price. We analyze the pattern of such impacts as correlation and volatility change through some fundamental numerical examples, analyzing wrong-way risk in particular. Given the theoretical equivalence of the credit valuation adjustment with a contingent CDS, we are also proposing a methodology for valuation of contingent CDS on CDS.Download Info
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Bibliographic Info
Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance.
Volume (Year): 12 (2009)
Issue (Month): 07 ()
Pages: 1007-1026
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Web page: http://www.worldscinet.com/ijtaf/ijtaf.shtml
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Related research
Keywords: Counterparty risk; credit valuation adjustment; Credit Default Swaps; contingent credit default swaps; credit spread volatility; default correlation; stochastic intensity; copula functions; wrong way risk;References
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Bao, Qunfang & Chen, Si & Liu, Guimei & Li, Shenghong, 2010. "Unilateral CVA for CDS in Contagion model: With volatilities and correlation of spread and interest," MPRA Paper 28250, University Library of Munich, Germany, revised 27 Dec 2010.
- Zhou, Richard, 2010. "Counterparty Risk Subject To ATE," MPRA Paper 28067, University Library of Munich, Germany.
- Kwai Leung & Yue Kwok, 2009. "Counterparty Risk for Credit Default Swaps: Markov Chain Interacting Intensities Model with Stochastic Intensity," Asia-Pacific Financial Markets, Springer, vol. 16(3), pages 169-181, September.
- Andrea Pallavicini & Daniele Perini & Damiano Brigo, 2012. "Funding, Collateral and Hedging: uncovering the mechanics and the subtleties of funding valuation adjustments," Papers 1210.3811, arXiv.org, revised Dec 2012.
- Claudio Albanese & Damiano Brigo & Frank Oertel, 2011. "Restructuring Counterparty Credit Risk," Papers 1112.1607, arXiv.org, revised May 2012.
- Damiano Brigo & Mirela Predescu & Agostino Capponi, 2010. "Credit Default Swaps Liquidity modeling: A survey," Papers 1003.0889, arXiv.org, revised Mar 2010.
- Li, Hui, 2009. "Double Impact on CVA for CDS: Wrong-Way Risk with Stochastic Recovery," MPRA Paper 19684, University Library of Munich, Germany.
- Damiano Brigo & Massimo Morini, 2010. "Dangers of Bilateral Counterparty Risk: the fundamental impact of closeout conventions," Papers 1011.3355, arXiv.org.
- Damiano Brigo & Massimo Morini & Marco Tarenghi, 2009. "Credit Calibration with Structural Models: The Lehman case and Equity Swaps under Counterparty Risk," Papers 0912.4404, arXiv.org.
- Damiano Brigo & Cristin Buescu & Massimo Morini, 2011. "Impact of the first to default time on Bilateral CVA," Papers 1106.3496, arXiv.org.
- Lixin Wu, 2013. "CVA and FVA to Derivatives Trades Collateralized by Cash," Papers 1302.0465, arXiv.org.
- Li, Hui, 2008. "CVA calculation for CDS on super senior ABS CDO," MPRA Paper 17945, University Library of Munich, Germany.
- Zhou, Richard, 2010. "Counterparty Risk Subject To ATE," MPRA Paper 27782, University Library of Munich, Germany.
- Damiano Brigo & Andrea Pallavicini & Vasileios Papatheodorou, 2009. "Bilateral counterparty risk valuation for interest-rate products: impact of volatilities and correlations," Papers 0911.3331, arXiv.org, revised Feb 2010.
- Damiano Brigo & Andrea Pallavicini & Roberto Torresetti, 2009. "Credit models and the crisis, or: how I learned to stop worrying and love the CDOs," Papers 0912.5427, arXiv.org, revised Feb 2010.
- Vicky Henderson & Gechun Liang, 2011. "A Multidimensional Exponential Utility Indifference Pricing Model with Applications to Counterparty Risk," Papers 1111.3856, arXiv.org, revised Feb 2012.
- Andrea Pallavicini & Daniele Perini & Damiano Brigo, 2011. "Funding Valuation Adjustment: a consistent framework including CVA, DVA, collateral,netting rules and re-hypothecation," Papers 1112.1521, arXiv.org, revised Dec 2011.
- Sebastian Heise & and Reimer Kuehn, 2012. "Derivatives and Credit Contagion in Interconnected Networks," Papers 1202.3025, arXiv.org.
- Damiano Brigo, 2011. "Counterparty Risk FAQ: Credit VaR, PFE, CVA, DVA, Closeout, Netting, Collateral, Re-hypothecation, WWR, Basel, Funding, CCDS and Margin Lending," Papers 1111.1331, arXiv.org, revised Jun 2012.
- Jan Baldeaux & Eckhard Platen, 2013. "Credit Derivative Evaluation and CVA under the Benchmark Approach," Research Paper Series 324, Quantitative Finance Research Centre, University of Technology, Sydney.
- Damiano Brigo & Kyriakos Chourdakis, 2012. "Consistent single- and multi-step sampling of multivariate arrival times: A characterization of self-chaining copulas," Papers 1204.2090, arXiv.org, revised Apr 2012.
- Damiano Brigo & Jo\~ao Garcia & Nicola Pede, 2013. "CoCo Bonds Valuation with Equity- and Credit-Calibrated First Passage Structural Models," Papers 1302.6629, arXiv.org.
- Alexander Lipton & Ioana Savescu, 2012. "Pricing credit default swaps with bilateral value adjustments," Papers 1207.6049, arXiv.org.
- Bao, Qunfang & Chen, Si & Liu, Guimei & Li, Shenghong, 2010. "Unilateral CVA for CDS in Contagion Model_with Volatilities and Correlation of Spread and Interest," MPRA Paper 26277, University Library of Munich, Germany.
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