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A Simple Model of the Nominal Term Structure of Interest Rates

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  • Yougsoo Choi

    (Department of Mathematics, Hankuk University of Foreign Studies, Korea)

  • Tony S. Wirjanto

    (Department of Economics, University of Waterloo)

Abstract

This paper presents a simple two-factor model of nominal term structure of interest rates, in which the log-price kernel has an autoregressive drift process and a nonlinear GARCH volatility process. With these two state-variable processes, closed-form solutions are derived for zero-coupon bond prices as well as yield to maturity for a given time to maturity.

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Bibliographic Info

Paper provided by University of Waterloo, Department of Economics in its series Working Papers with number 08011.

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Date of creation: Dec 2008
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Handle: RePEc:wat:wpaper:08011

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  1. Chan, K C, et al, 1992. " An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-27, July.
  2. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  3. Brennan, Michael J. & Schwartz, Eduardo S., 1982. "An Equilibrium Model of Bond Pricing and a Test of Market Efficiency," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(03), pages 301-329, September.
  4. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-70, March.
  5. Sanford J. Grossman & Angelo Melino & Robert J. Shiller, 1985. "Estimating the Continuous Time Consumption Based Asset Pricing Model," NBER Working Papers 1643, National Bureau of Economic Research, Inc.
  6. Longstaff, Francis A., 1993. "The valuation of options on coupon bonds," Journal of Banking & Finance, Elsevier, vol. 17(1), pages 27-42, February.
  7. 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.
  8. Choi, Youngsoo & Wirjanto, Tony S., 2007. "An analytic approximation formula for pricing zero-coupon bonds," Finance Research Letters, Elsevier, vol. 4(2), pages 116-126, June.
  9. Longstaff, Francis A, 1990. " Time Varying Term Premia and Traditional Hypotheses about the Term Structure," Journal of Finance, American Finance Association, vol. 45(4), pages 1307-14, September.
  10. 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.
  11. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
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