Extended-Gaussian Term Structure Models and Credit Risk Applications
This paper presents three factor "Extended Gaussian" term struc- ture models (EGM) to price default-free and defaultable bonds. To price default-free bonds EGM assume that the instantaneous interest rate is a possibly non-linear but monotonic function of three latent factors that follow correlated Gaussian processes. The bond pricing equation can be solved conveniently through separation of variables and finite difference methods. The merits of EGM are hetero-schedastic yields, unrestricted correlation between factors and the absence of the admissibility restric- tions that affect canonical affine models. Unlike quadratic term structure models, EGM are amenable to maximum likelihood estimation, since ob- served yields are sufficient statistics to infer the latent factors. Empirical evidence from US Treasury yields shows that EGM fit observed yields quite well and are estimable. EGM are of even greater interest to price fixed and floating rate defaultable bonds. A reduced form, a credit rating based and a structural credit risk valuation model are presented: these credit risk models are EGM and their common merit is that bond pricing remains tractable through separation of variables even if interest rate risk and credit risk are arbitrarily correlated
|Date of creation:||Sep 2007|
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- Leippold, Markus & Wu, Liuren, 2002.
"Asset Pricing under the Quadratic Class,"
Journal of Financial and Quantitative Analysis,
Cambridge University Press, vol. 37(02), pages 271-295, June.
- Li Chen & Damir Filipović & H. Vincent Poor, 2004. "Quadratic Term Structure Models For Risk-Free And Defaultable Rates," Mathematical Finance, Wiley Blackwell, vol. 14(4), pages 515-536.
- 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.).
- Langetieg, Terence C, 1980. " A Multivariate Model of the Term Structure," Journal of Finance, American Finance Association, vol. 35(1), pages 71-97, March.
- Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2004.
"Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit-Default Swap Market,"
NBER Working Papers
10418, National Bureau of Economic Research, Inc.
- Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
- Qiang Dai & Kenneth Singleton, 2003. "Term Structure Dynamics in Theory and Reality," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 631-678, July.
- Michael Johannes, 2004. "The Statistical and Economic Role of Jumps in Continuous-Time Interest Rate Models," Journal of Finance, American Finance Association, vol. 59(1), pages 227-260, 02.
- 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.
- Ang, Andrew & Bekaert, Geert, 2002. "Short rate nonlinearities and regime switches," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1243-1274, July.
- Christian Gourieroux & Alain Monfort & Vassilis Polimenis, 2002. "Affine Term Structure Models," Working Papers 2002-49, Centre de Recherche en Economie et Statistique.
- Markus Leippold & Liuren Wu, 2002. "Design and Estimation of Quadratic Term Structure Models," Finance 0207014, EconWPA.
- 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.
- Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 243-288, March.
- Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
- Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-92.
- Babbs, Simon H. & Nowman, K. Ben, 1999. "Kalman Filtering of Generalized Vasicek Term Structure Models," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(01), pages 115-130, March.
- 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.
- Constantinides, George M, 1992. "A Theory of the Nominal Term Structure of Interest Rates," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 531-52.
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