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Original Articles

A Bottom-Up Dynamic Model of Portfolio Credit Risk with Stochastic Intensities and Random Recoveries

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Pages 1362-1389 | Received 06 Oct 2012, Accepted 10 Sep 2013, Published online: 17 Mar 2014

References

  • Andersen , L. , Sidenius , J. ( 2004 ). Extensions to the Gaussian copula: random recovery and random factor loadings . J. Credit Risk 1 ( 1 ): 29 – 70 .
  • Assefa , S. , Bielecki , T. R. , Crépey , S. , Jeanblanc , M. ( 2011 ). CVA computation for counterparty risk assessment in credit portfolios . In: Bielecki , T.R. , Brigo , D. , Patras , F. , Eds., Credit Risk Frontiers . Hoboken : Wiley/Bloomberg-Press .
  • Beylkin , G. , Monzon , L. ( 2005 ). On approximation of functions by exponential sums . Appl. Computat. Harmon. Anal. 19 ( 1 ): 17 – 48 .
  • Bielecki , T. R. , Cousin , A. , Crépey , S. , Herbertsson , A. ( 2014a ). Dynamic hedging of portfolio credit risk in a markov copula model . J. Optimiz. Theor. Applic . doi: DOI 10.1007/s10957-013-0318-4 (forthcoming) .
  • Bielecki , T. R. , Cousin , A. , Crépey , S. , Herbertsson , A. ( 2014b ). A bottom-up dynamic model of portfolio credit risk - Part I: Markov copula perspective . In: Recent Adv. Fin. Eng. 2012 , World Scientific (preprint version available at http://dx.doi.org/10.2139/ssrn.1844574) .
  • Bielecki , T. R. , Cousin , A. , Crépey , S. , Herbertsson , A. ( 2014c ). A bottom-up dynamic model of portfolio credit risk - Part II: Common-shock interpretation, calibration and hedging issues . Recent Adv. Fin. Eng. 2012 , World Scientific (preprint version available at http://dx.doi.org/10.2139/ssrn.2245130) .
  • Bielecki , T. R. , Crépey , S. ( 2013 ). Dynamic hedging of counterparty exposure . Zariphopoulou , T. , Rutkowski , M. , Kabanov , Y. , Eds, Inspired By Finance—The Musiela Festschrift . New York Springer .
  • Bielecki , T. R. , Crépey , S. , Jeanblanc , M. ( 2010 ). Up and down credit risk . Quantit. Fin. 10 ( 10 ): 1137 – 1151 .
  • Bielecki , T. R. , Crépey , S. , Jeanblanc , M. , Zargari , B. ( 2012 ). Valuation and Hedging of CDS counterparty exposure in a markov copula model . Int. J. Theoret. Appl. Fin. 15 ( 1 ): 1250004 .
  • Bielecki , T. R. , Jakubowski , J. , Niewe¸glowski , M. ( 2010 ). Dynamic modeling of dependence in finance via copulae between stochastic processes . Copula Theor. Applic . Lecture Notes in Statistics , 198 (Part 1 ): 33 – 76 .
  • Bielecki , T. R. , Vidozzi , A. , Vidozzi , L. (2008). A Markov copulae approach to pricing and hedging of credit index derivatives and ratings triggered step–up bonds, J. Credit Risk 4(1):47–76.
  • Brigo , D. , Alfonsi , A. ( 2005 ). Credit default swap calibration and derivatives pricing with the SSRD stochastic intensity model . Fin. Stochastics 9 ( 1 ): 29 – 42 .
  • Brigo , D. , El-Bachir , N. ( 2010 ). An exact formula for default swaptions’ pricing in the SSRJD stochastic intensity model . Mathemat. Fin. 20 ( 3 ): 365 – 382 .
  • Brigo D. , Morini M. , Pallavicini , A. ( 2013 ). Counterparty Credit Risk, Collateral and Funding with pricing cases for all asset classes . Chichester, UK : Wiley .
  • Brigo , D. , Pallavicini , A. , Papatheodorou , V. ( 2011 ). Arbitrage-free valuation of bilateral counterparty risk for interest-rate products: impact of volatilities and correlations . Int. J. Theoret. Appl. Fin. 14 ( 6 ): 773 – 802 .
  • Brigo , D. , Pallavicini , A. , Torresetti , R. ( 2010 ). Credit models and the crisis: default cluster dynamics and the generalized Poisson loss model , J. Credit Risk 6 ( 4 ): 39 – 81 .
  • Brigo , D. , Pallavicini , A. , Torresetti , R. ( 2007a ) Calibration of CDO Tranches with the dynamical Generalized-Poisson Loss model . Risk Mag . May: 70 – 75 .
  • Briyo , D. , Pallavicini , A. , Torresetti , R. ( 2007b ). Cluster-based extension of the generalized poisson loss dynamics and consistency with single names . Int. J. Theoret. Appl. Fin. 10 ( 4 ): 607 – 632 .
  • Crépey , S. , Bielecki , T. E. , Briyo , D. ( 2014 ). Counterparty Risk and Funding: A Tale of two Puzzels . Boca Raton : Chapman & Hall/CRC Financial Mathamatics Series .
  • Crépey , S. , Grbac , Z. , Nguyen , H. N. ( 2012 ). A multiple-curve HJM model of interbank risk . Math. Fin. Econ. 6 ( 6 ): 155 – 190 . 2012 .
  • Crépey , S. , Rahal , A. Simulation/regression pricing schemes for CVA computations on CDO tranches . Commun. Statist. – Theor. Meth. ( in press )
  • Duffie , D. , Gârleanu , N. ( 2001 ). Risk and the valuation of collateralized debt obligations , Fin. Anal. J. 57 : 41 – 62 .
  • Elouerkhaioui , Y. ( 2007 ). Pricing and hedging in a dynamic credit model . Int. J. Theoret. Appl. Fin. 10 ( 4 ): 703 – 731 .
  • Glasserman , P. ( 2004 ). Monte Carlo Methods in Financial Engineering . New York : Springer .
  • Herbertsson , A. ( 2008 ). Pricing synthetic CDO tranches in a model with Default Contagion using the Matrix-Analytic approach . J. Cred. Risk 4 ( 4 ): 3 – 35 .
  • Iscoe , I. , Jackson , K. , Kreinin , A. and Ma , X. ( 2010 ). An exponential approximation to the hockey stick function. Working Paper . Dep. Computer Science, University of Toronto .
  • Iscoe , I. , Jackson , K. , Kreinin , A. , Ma , X. ( 2013 ). Pricing synthetic CDOs based on exponential approximations to the payoff function . J. Computat. Fin. 16 ( 3 ): 127 – 150 .
  • Schlögl , E. , Schlögl , L. ( 1997 ). A tractable term structure model with endogenous interpolation and positive interest rates . Insur. Math. Econ. 20 ( 2 ): 55 – 156 .
  • Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/lsta.

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