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The Dynamics of Credit Spreads and Ratings Migrations

Published online by Cambridge University Press:  06 April 2009

Heber Farnsworth  and
Tao Li
Heber Farnsworth
Affiliation:
[email protected], NISA Investment Advisors, LLC, 150 N. Meramec Ave., Suite 640, St. Louis, MO 63105
Tao Li
Affiliation:
[email protected], Chinese University of Hong Kong, Faculty of Business Administration, Department of Finance, Shatin, Hong Kong.
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Abstract

There is a large and growing literature on how to model the dynamics of the default-free term structure to fit the observed historical data. Much less is known about how best to model the dynamics of defaultable yield curves. This paper develops a class of defaultable term structure models that is tractable enough to be empirically implemented and flexible enough to capture some important behaviors of the credit spreads in the data. We compare two non-nested models within this class using a Bayesian estimation technique, which helps to solve the problem of latent state variables. The Bayesian approach also enables us to test the two non-nested models on the basis of the Bayes factor. The results strongly suggest that models with constant transition probabilities will not be able to fit the observed dynamics of inter-rating spreads.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 42 , Issue 3 , September 2007 , pp. 595 - 620
Copyright
Copyright © School of Business Administration, University of Washington 2007

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References

Ahn, D.-H.; Dittmar, R.; and Gallant, R.. “Quadratic Term Structure Models: Theory and Evidence.” Review of Financial Studies, 15 (2002), 243–288.CrossRefGoogle Scholar
Anderson, W.Continuous-Time Markov Chains: An Applications-Oriented Approach. New York, NY: Springer-Verlag (1991).CrossRefGoogle Scholar
Back, K. “Yield Curve Models: A Mathematical Review.” In Option Embedded Bonds, Lederman, J., Klein, R., and Nelkin, I., eds. Chicago, IL: Irwin Publishing (1996).Google Scholar
Chib, S., and Jeliazkov, I.. “Marginal Likelihood from the Metropolis-Hastings Output.” Journal of the American Statistical Association (2001), 270–281.CrossRefGoogle Scholar
Collin-Dufresne, P., and Goldstein, R. S.. “Do Credit Spreads Reflect Stationary Leverage Ratios?” Journal of Finance, 56 (2001), 1929–1957.CrossRefGoogle Scholar
Collin-Dufresne, P.; Goldstein, R. S.; and Martin, J. S.. “The Determinants of Credit Spread Changes.” Journal of Finance, 56 (2001), 2177–2207.CrossRefGoogle Scholar
Cox, J.; Ingersoll, J.; and Ross, S.. “A Theory of the Term Structure of Interest Rates.” Econometrica, 53 (1985), 385–407.CrossRefGoogle Scholar
Duffee, G. “The Relation between Treasury Yields and Corporate Bond Yield Spreads.” Journal of Finance, 53 (1998), 2225–2241.CrossRefGoogle Scholar
Duffee, G. “Estimating the Price of Default Risk.” Review of Financial Studies, 12 (1999), 197–226.CrossRefGoogle Scholar
Duffie, D., and Gârleanu, N.. “Risk and Valuation of Collateralized Debt Obligations.” Financial Analysts Journal, 57 (2001), 41–59.CrossRefGoogle Scholar
Duffie, D., and Kan, R.. “A Yield-Factor Model of Interest Rates.” Mathematical Finance, 6 (1996), 379–406.CrossRefGoogle Scholar
Duffie, D., and Singleton, K.. “Modeling Term Structures of Defaultable Bonds.” Review of Financial Studies, 12 (1999), 687–720.CrossRefGoogle Scholar
Fama, E. F., and French, K. R.. “Business Conditions and Expected Returns on Stocks and Bonds.” Journal of Financial Economics, 22 (1989), 3–25.CrossRefGoogle Scholar
Ferson, W., and Harvey, C. R.. “The Variation of Economic Risk Premiums.” Journal of Political Economy, 99 (1991), 385–415.CrossRefGoogle Scholar
Fons, J. “Using Default Rates toModel the Term Structure of Credit Risk.” Financial Analysts Journal (1994), 25–32.CrossRefGoogle Scholar
Gilks, W.; Roberts, G. O.; and George, E.. “Adaptive Direction Sampling.” The Statistician, 43 (1994), 179–189.CrossRefGoogle Scholar
Helwege, J., and Turner, C.. “The Slope of the Credit Yield Curve for Speculative-Grade Issuers.” Journal of Finance, 54 (1999), 1869–1884.CrossRefGoogle Scholar
Jarrow, R.; Lando, D.; and Turnbull, S.. “A Markov Model of the Term Structure of Credit Risk Spreads.” Review of Financial Studies, 10 (1997), 481–523.CrossRefGoogle Scholar
Karlin, S., and Taylor, H. M.. A Second Course in Stochastic Processes. San Diego, CA: Academic Press (1981).Google Scholar
Karoui, N.; Peng, S.; and Quenez, M.. “Backward Stochastic Differential Equations in Finance.” Mathematical Finance, 7 (1997), 1–71.CrossRefGoogle Scholar
Keim, D. B., and Stambaugh, R. F.. “Predicting Returns in the Stock and Bond Markets.” Journal of Financial Economics, 17 (1986), 357–390.CrossRefGoogle Scholar
Lamoureux, C. G., and Witte, D.. “Empirical Analysis of Yield Curve: The Information in the Data Viewed through the Window of Cox, Ingersoll, and Ross.” Journal of Finance, 57 (2002), 1479–1520.CrossRefGoogle Scholar
Lando, D. “On Cox Processes and Credit Risky Securities.” Review of Derivatives Research, 2 (1998), 99–120.CrossRefGoogle Scholar
Li, T. “Essays in Financial Economics.” Ph.D. Diss., Washington University in St. Louis (2000).Google Scholar
Longstaff, F. A., and Schwartz, E. S.. “A Simple Approach to Valuing Risky Fixed and Floating Rate Debt.” Journal of Finance, 50 (1995), 789–819.CrossRefGoogle Scholar
Merton, R. “On The Pricing of Corporate Debt: The Risk Structure of Interest Rates.” Journal of Finance, 29 (1974), 449–470.Google Scholar
Miu, P. “Performances of Alternative Reduced Form Models of Credit Risk: The Role of Fitting the Default-Free Term Structure.” Working Paper, University of Toronto (2001).Google Scholar
Sarig, O., and Warga, A.. “Some Empirical Estimates of the Risk Structure of Interest Rates.” Journal of Finance, 44 (1989), 1351–1360.CrossRefGoogle Scholar
Schultz, P. H. “Corporate Bond Trading Costs: A Peek Behind the Curtain.” Journal of Finance, 56 (2001), 677–698.CrossRefGoogle Scholar
Schwert, G. W. “Why Does Stock Market Volatility Change over Time?” Journal of Finance, 44 (1989), 1115–1153.CrossRefGoogle Scholar
Warga, A. D. “Corporate Bond Price Discrepancies in the Dealer and Exchange Markets.” Journal of Fixed Income, 1 (1991), 7–16.CrossRefGoogle Scholar
Warnes, G. R. “The Normal Kernel Coupler: An Adaptive Markov Chain Monte Carlo Method for Efficiently Sampling from Multi-Model Distributions.” Technical Report 395, University of Washington (2001).Google Scholar