Credit Risk Models I: Default Correlation In Intensity Models
AbstractThis report analyzes reduced-from credit risk models, and reviews the three main approaches to incorporate credit risk correlation among firms within the framework of reduced models. The first approach, conditionally independent defaults (CID) models, introduces credit risk dependence of the firms' default intensity processes on a common set of state variables. Contagion models extend the CID approach to account for default clustering (periods in which the firms's credit risk is increased and in which the majority of the defaults take place). Finally, default dependecies can also be accounted for using copula functions. The copula approach takes as given the marginal default probabilities of the different firms and plugs them into a copula function, which provides the model with the default dependece structure. After a description of copulas, we present two different approaches of using copula functions in intensity models, and discuss the choice and calibration of the copula function.
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Bibliographic InfoPaper provided by CEMFI in its series Working Papers with number wp2006_0605.
Date of creation: Apr 2006
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-10-07 (All new papers)
- NEP-FMK-2006-10-07 (Financial Markets)
- NEP-RMG-2006-10-07 (Risk Management)
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- repec:wop:humbsf:2002-52 is not listed on IDEAS
- N. H. Bingham & Rudiger Kiesel, 2002. "Semi-parametric modelling in finance: theoretical foundations," Quantitative Finance, Taylor and Francis Journals, vol. 2(4), pages 241-250.
- Darrell Duffie & Jun Pan & Kenneth Singleton, 2000.
"Transform Analysis and Asset Pricing for Affine Jump-Diffusions,"
Econometric Society, vol. 68(6), pages 1343-1376, November.
- Darrell Duffie & Jun Pan & Kenneth Singleton, 1999. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," NBER Working Papers 7105, National Bureau of Economic Research, Inc.
- Giesecke, Kay, 2002. "An exponential model for dependent defaults," SFB 373 Discussion Papers 2002,52, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- 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 449-70, May.
- Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Jarrow, Robert A & Turnbull, Stuart M, 1995. " Pricing Derivatives on Financial Securities Subject to Credit Risk," Journal of Finance, American Finance Association, vol. 50(1), pages 53-85, March.
- 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.
- Joost Driessen, 2005. "Is Default Event Risk Priced in Corporate Bonds?," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 165-195.
- Darrell Duffie & Lasse Heje Pedersen & Kenneth J. Singleton, 2003. "Modeling Sovereign Yield Spreads: A Case Study of Russian Debt," Journal of Finance, American Finance Association, vol. 58(1), pages 119-159, 02.
- Gregory R. Duffee, 1998. "The Relation Between Treasury Yields and Corporate Bond Yield Spreads," Journal of Finance, American Finance Association, vol. 53(6), pages 2225-2241, December.
- Duffee, Gregory R, 1999.
"Estimating the Price of Default Risk,"
Review of Financial Studies,
Society for Financial Studies, vol. 12(1), pages 197-226.
- Bouye, Eric & Durlleman, Valdo & Nikeghbali, Ashkan & Riboulet, Gaël & Roncalli, Thierry, 2000. "Copulas for finance," MPRA Paper 37359, University Library of Munich, Germany.
- Robert A. Jarrow & David Lando & Fan Yu, 2005. "Default Risk And Diversification: Theory And Empirical Implications," Mathematical Finance, Wiley Blackwell, vol. 15(1), pages 1-26.
- Jean-David FERMANIAN & Olivier SCAILLET, 2004. "Some Statistical Pitfalls In Copula Modeling For Financial Applications," FAME Research Paper Series rp108, International Center for Financial Asset Management and Engineering.
- D. Duffie & D. Filipovic & W. Schachermayer, 2002. "Affine Processes and Application in Finance," NBER Technical Working Papers 0281, National Bureau of Economic Research, Inc.
- Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
- Jarrow, Robert A & Lando, David & Turnbull, Stuart M, 1997. "A Markov Model for the Term Structure of Credit Risk Spreads," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 481-523.
- Houweling, P. & Vorst, A.C.F., 2002.
"An Empirical Comparison of Default Swap Pricing Models,"
ERS-2002-23-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
- Patrick Houweling & Ton Vorst, 2001. "An Empirical Comparison of Default Swap Pricing Models," Finance 0112003, EconWPA.
- Patrick Houweling & Ton Vorst, 2002. "An Empirical Comparison of Default Swap Pricing Models," Tinbergen Institute Discussion Papers 02-004/2, Tinbergen Institute.
- M. Davis & V. Lo, 2001. "Infectious defaults," Quantitative Finance, Taylor and Francis Journals, vol. 1(4), pages 382-387.
- Pierre Collin-Dufresne, 2001. "The Determinants of Credit Spread Changes," Journal of Finance, American Finance Association, vol. 56(6), pages 2177-2207, December.
- Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-67, May.
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