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Discrete-Time Models of Bond Pricing

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Author Info
David Backus
Silverio Foresi
Chris Telmer

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Abstract

We explore a variety of models and approaches to bond pricing, including those associated with Vasicek, Cox-Ingersoll-Ross, Ho and Lee, and Heath-Jarrow-Morton, as well as models with jumps, multiple factors, and stochastic volatility. We describe each model in a common theoretical framework and explain the reasoning underlying the choice of parameter values. Our framework has continuous state variables but discrete time, which we regard as a convenient middle ground between the stochastic calculus of high theory and the binomial models of classroom fame. In this setting, most of the models we examine are easily implemented on a spreadsheet.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 6736.

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Date of creation: Sep 1998
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Handle: RePEc:nbr:nberwo:6736

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Find related papers by JEL classification:
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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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. Qiang Dai & Kenneth J. Singleton, 1997. "Specification Analysis of Affine Term Structure Models," NBER Working Papers 6128, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Turnbull, Stuart M & Milne, Frank, 1991. "A Simple Approach to Interest-Rate Option Pricing," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 4(1), pages 87-120. [Downloadable!] (restricted)
  4. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November. [Downloadable!] (restricted)
  5. David Backus & Silverio Foresi & Abon Mozumdar & Liuren Wu, 1998. "Predictable Changes in Yields and Forward Rates," NBER Working Papers 6379, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Backus, D.K. & Foresi, S. & Zin, S.E., 1994. "Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing," Papers 95-02, Columbia - Graduate School of Business.
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  7. Pearson, Neil D & Sun, Tong-Sheng, 1994. " Exploiting the Conditional Density in Estimating the Term Structure: An Application to the Cox, Ingersoll, and Ross Model," Journal of Finance, American Finance Association, vol. 49(4), pages 1279-1304, September. [Downloadable!] (restricted)
  8. David Backus & Silverio Foresi & Chris Telmer, 1996. "Affine Models of Currency Pricing," New York University, Leonard N. Stern School Finance Department Working Paper Seires 96-9, New York University, Leonard N. Stern School of Business-.
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  9. Brennan, Michael J. & Schwartz, Eduardo S., 1979. "A continuous time approach to the pricing of bonds," Journal of Banking & Finance, Elsevier, vol. 3(2), pages 133-155, July. [Downloadable!] (restricted)
  10. Michael J. Brennan and Eduardo S. Schwartz., 1979. "A Continuous-Time Approach to the Pricing of Bonds," Research Program in Finance Working Papers 85, University of California at Berkeley.
  11. David Backus & Silverio Foresi & Liuren Wu, 2002. "Accouting for Biases in Black-Scholes," Finance 0207008, EconWPA. [Downloadable!]
  12. 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. [Downloadable!] (restricted)
  13. Gibbons, Michael R & Ramaswamy, Krishna, 1993. "A Test of the Cox, Ingersoll, and Ross Model of the Term Structure," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(3), pages 619-58. [Downloadable!] (restricted)
  14. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 3(4), pages 573-92. [Downloadable!] (restricted)
  15. Pierluigi Balduzzi & Sanjiv Ranjan Das & Silverio Foresi, 1998. "The Central Tendency: A Second Factor In Bond Yields," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 62-72, February. [Downloadable!] (restricted)
    Other versions:
  16. Sun, Tong-sheng, 1992. "Real and Nominal Interest Rates: A Discrete-Time Model and Its Continuous-Time Limit," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 5(4), pages 581-611. [Downloadable!] (restricted)
  17. Longstaff, Francis A & Schwartz, Eduardo S, 1992. " Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model," Journal of Finance, American Finance Association, vol. 47(4), pages 1259-82, September. [Downloadable!] (restricted)
  18. Ho, Thomas S Y & Lee, Sang-bin, 1986. " Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-29, December. [Downloadable!] (restricted)
  19. Hull, John & White, Alan, 1993. "One-Factor Interest-Rate Models and the Valuation of Interest-Rate Derivative Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(02), pages 235-254, June. [Downloadable!]
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