Pricing defaultable bonds: a middle-way approach between structural and reduced-form models
In this paper we present a valuation model that combines features of both the structural and reduced-form approaches for modelling default risk. We maintain the cause and effect or 'structural' definition of default and assume that default is triggered when a state variable reaches a default boundary. However, in our model, the state variable is not interpreted as the assets of the firm, but as a latent variable signalling the credit quality of the firm. Default in our model can also occur according to a doubly stochastic hazard rate. The hazard rate is a linear function of the state variable and the interest rate. We use the Cox et al. (A theory of the term structure of interest rates. Econometrica, 1985, 53(2), 385-407) term structure model to preclude the possibility of negative probabilities of default. We also horse race the proposed valuation model against structural and reduced-form default risky bond pricing models and find that term structures of credit spreads generated using the middle-way approach are more in line with empirical observations.
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Volume (Year): 6 (2006)
Issue (Month): 3 ()
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- 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 351-367, May.
- Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985.
"A Theory of the Term Structure of Interest Rates,"
Econometric Society, vol. 53(2), pages 385-407, March.
- Duffie, Darrell & Lando, David, 2001. "Term Structures of Credit Spreads with Incomplete Accounting Information," Econometrica, Econometric Society, vol. 69(3), pages 633-664, May.
- Robert A. Jarrow & David Lando & Fan Yu, 2005.
"Default Risk And Diversification: Theory And Empirical Implications,"
Wiley Blackwell, vol. 15(1), pages 1-26.
- Robert A. Jarrow & David Lando & Fan Yu, 2008. "Default Risk And Diversification: Theory And Empirical Implications," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 19, pages 455-480 World Scientific Publishing Co. Pte. Ltd..
- 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.
- Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453 World Scientific Publishing Co. Pte. Ltd..
- Mella-Barral, Pierre & Perraudin, William, 1997.
" Strategic Debt Service,"
Journal of Finance,
American Finance Association, vol. 52(2), pages 531-556, June.
- John Y. Campbell & Glen B. Taksler, 2002.
"Equity Volatility and Corporate Bond Yields,"
Harvard Institute of Economic Research Working Papers
1945, Harvard - Institute of Economic Research.
- John Y. Campbell & Glen B. Taksler, 2002. "Equity Volatility and Corporate Bond Yields," NBER Working Papers 8961, National Bureau of Economic Research, Inc.
- Campbell, John & Taksler, Glen, 2003. "Equity Volatility and Corporate Bond Yields," Scholarly Articles 3153307, Harvard University Department of Economics.
- Hayne E. Leland and Klaus Bjerre Toft., 1995.
"Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads,"
Research Program in Finance Working Papers
RPF-259, University of California at Berkeley.
- Leland, Hayne E & Toft, Klaus Bjerre, 1996. " Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads," Journal of Finance, American Finance Association, vol. 51(3), pages 987-1019, July.
- Young Ho Eom, 2004. "Structural Models of Corporate Bond Pricing: An Empirical Analysis," Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 499-544.
- 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.
- Geske, Robert, 1977. "The Valuation of Corporate Liabilities as Compound Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 541-552, November.
- Edwin J. Elton, 2001. "Explaining the Rate Spread on Corporate Bonds," Journal of Finance, American Finance Association, vol. 56(1), pages 247-277, 02.
- Sarig, Oded & Warga, Arthur, 1989. " Some Empirical Estimates of the Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 44(5), pages 1351-1360, December.
- Pierre Collin-Dufresne, 2001. "The Determinants of Credit Spread Changes," Journal of Finance, American Finance Association, vol. 56(6), pages 2177-2207, December.
- Mascia Bedendo & Lara Cathcart & Lina El-Jahel, 2007. "The Slope Of The Term Structure Of Credit Spreads: An Empirical Investigation," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 30(2), pages 237-257.
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