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Copula-Based Default Dependence Modelling: Where Do We Stand?

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Author Info
Elisa Luciano ()

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Abstract

Copula functions have proven to be extremely useful in describing joint default and survival probabilities in credit risk applications. We overview the state of the art and point out some open modelling issues. We discuss first joint default modelling in diffusion based structural models, then in intensity based ones, focusing on the possibility - and the dynamic inconsistency - of re-mapping a model of the second type into one of the first. For both types of models, we discuss calibration issues under the risk neutral measure, using the factor copula device. The survey leads us to focus on a non-diffusive structural model, which can be re-mapped in a dynamic consistent intensity-based one, and which can be calibrated under a risk neutral measure without assuming equicorrelation.

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Publisher Info
Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 21-2007.

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Length: 24 pages
Date of creation: Mar 2007
Date of revision:
Handle: RePEc:icr:wpmath:21-2007

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Related research
Keywords: default dependence; copula functions; risk neutral versus historical dependence;

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Find related papers by JEL classification:
G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Capital and Ownership Structure
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Duffie, Darrell & Singleton, Kenneth J, 1997. " An Econometric Model of the Term Structure of Interest-Rate Swap Yields," Journal of Finance, American Finance Association, vol. 52(4), pages 1287-1321, September. [Downloadable!] (restricted)
  2. Longstaff, Francis A & Schwartz, Eduardo S, 1995. " A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July. [Downloadable!] (restricted)
  3. Elisa Luciano & Wim Schoutens, 2005. "A Multivariate Jump-Driven Financial Asset Model," ICER Working Papers - Applied Mathematics Series 6-2005, ICER - International Centre for Economic Research. [Downloadable!]
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  4. Filippo Fiorani & Elisa Luciano, 2006. "Credit risk in pure jump structural models," ICER Working Papers - Applied Mathematics Series 6-2006, ICER - International Centre for Economic Research. [Downloadable!]
  5. Filippo Fiorani & Elisa Luciano & Patrizia Semeraro, 2007. "Single and joint default in a structural model with purely discontinuous assets," Carlo Alberto Notebooks 41, Collegio Carlo Alberto. [Downloadable!]
  6. 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. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
    Other versions:
  8. Joshua V. Rosenberg, 2003. "Nonparametric pricing of multivariate contingent claims," Staff Reports 162, Federal Reserve Bank of New York. [Downloadable!]
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