Pricing Default Events : Surprise, Exogeneity and Contagion
In order to derive closed-form expressions of the prices of credit derivatives, the standard models for credit risk usually price the default intensities but not the default events themselves. The default indicator is replaced by an appropriate prediction and the prediction error, that is the default-event surprise, is neglected. Our paper develops an approach to get closed-form expressions for the prices of credit derivatives written on multiple names without neglecting default-event surprises. The approach differs from the standard one, since the default counts cause the factor process under the risk-neutral probability Q, even if this is not the case under the historical probability. This implies that the default intensities under Q do not exist. A numerical illustration shows the potential magnitude of the mispricing when the surprise on credit events is neglected. We also illustrate the effect of the propagation of defaults on the prices of credit derivatives.
|Date of creation:||Jan 2013|
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- Joann Jasiak & Christian Gourieroux, 2006. "Autoregressive gamma processes," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 25(2), pages 129-152.
- Merton, Robert C., 1973.
"On the pricing of corporate debt: the risk structure of interest rates,"
684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- 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.
- C. Gourieroux & A. Monfort & V. Polimenis, 2006.
"Affine Models for Credit Risk Analysis,"
Journal of Financial Econometrics,
Society for Financial Econometrics, vol. 4(3), pages 494-530.
- Altman, Edward I, 1989. " Measuring Corporate Bond Mortality and Performance," Journal of Finance, American Finance Association, vol. 44(4), pages 909-22, September.
- Liuren Wu & Frank Xiaoling Zhang, 2008. "A No-Arbitrage Analysis of Macroeconomic Determinants of the Credit Spread Term Structure," Management Science, INFORMS, vol. 54(6), pages 1160-1175, June.
- Maurizio Luisi & Jeffery D. Amato, 2006. "Macro factors in the term structure of credit spreads," BIS Working Papers 203, Bank for International Settlements.
- 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.
- Edwin J. Elton, 2001. "Explaining the Rate Spread on Corporate Bonds," Journal of Finance, American Finance Association, vol. 56(1), pages 247-277, 02.
- Jennie Bai & Pierre Collin-Dufresne & Robert S. Goldstein & Jean Helwege, 2012. "On bounding credit event risk premia," Staff Reports 577, Federal Reserve Bank of New York.
- Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
- Florens, J P & Mouchart, M, 1982. "A Note on Noncausality," Econometrica, Econometric Society, vol. 50(3), pages 583-91, May.
- Darrell Duffie & Andreas Eckner & Guillaume Horel & Leandro Saita, 2009.
"Frailty Correlated Default,"
Journal of Finance,
American Finance Association, vol. 64(5), pages 2089-2123, October.
- Gagliardini, Patrick & Gouriéroux, Christian, 2013.
"Correlated risks vs contagion in stochastic transition models,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 37(11), pages 2241-2269.
- Patrick Gagliardini & Christian Gouriéroux, 2012. "Correlated Risks vs Contagion in Stochastic Transition Models," Working Papers 2012-07, Centre de Recherche en Economie et Statistique.
- Alain Monfort & Jean-Paul Renne, 2013.
"Default, Liquidity, and Crises: an Econometric Framework,"
Journal of Financial Econometrics,
Society for Financial Econometrics, vol. 11(2), pages 221-262, March.
- Monfort, A. & Renne, J-P., 2011. "Default, liquidity and crises: an econometric framework," Working papers 340, Banque de France.
- Alain Monfort & Jean-Paul Renne, 2010. "Default, Liquidity and Crises : An Econometric Framework," Working Papers 2010-46, Centre de Recherche en Economie et Statistique.
- Gregory R. Duffee, 1996.
"Estimating the price of default risk,"
Finance and Economics Discussion Series
96-29, Board of Governors of the Federal Reserve System (U.S.).
- Jeffery D Amato & Eli M Remolona, 2003. "The credit spread puzzle," BIS Quarterly Review, Bank for International Settlements, December.
- Serge Darolles & Christian Gourieroux & Joann Jasiak, 2006. "Structural Laplace Transform and Compound Autoregressive Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(4), pages 477-503, 07.
- Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
- 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.
- 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.
- 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.
- Kris Jacobs & Xiaofei Li, 2008. "Modeling the Dynamics of Credit Spreads with Stochastic Volatility," Management Science, INFORMS, vol. 54(6), pages 1176-1188, June.
- Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
- Philippe Jorion & Gaiyan Zhang, 2009. "Credit Contagion from Counterparty Risk," Journal of Finance, American Finance Association, vol. 64(5), pages 2053-2087, October.
- Sims, Christopher A, 1972. "Money, Income, and Causality," American Economic Review, American Economic Association, vol. 62(4), pages 540-52, September.
- Duffie, Darrell & Lando, David, 2001. "Term Structures of Credit Spreads with Incomplete Accounting Information," Econometrica, Econometric Society, vol. 69(3), pages 633-64, May.
- Lando, David & Nielsen, Mads Stenbo, 2010. "Correlation in corporate defaults: Contagion or conditional independence?," Journal of Financial Intermediation, Elsevier, vol. 19(3), pages 355-372, July.
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