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A Simple Model of the Nominal Term Structure of Interest Rates


  • Yougsoo Choi

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

  • Tony S. Wirjanto

    (Department of Economics, University of Waterloo)


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.

Suggested Citation

  • Yougsoo Choi & Tony S. Wirjanto, 2008. "A Simple Model of the Nominal Term Structure of Interest Rates," Working Papers 08011, University of Waterloo, Department of Economics.
  • Handle: RePEc:wat:wpaper:08011

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    References listed on IDEAS

    1. 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.
    2. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    3. Grossman, S J & Melino, Angelo & Shiller, Robert J, 1987. "Estimating the Continuous-Time Consumption-Based Asset-Pricing Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(3), pages 315-327, July.
    4. Longstaff, Francis A., 1993. "The valuation of options on coupon bonds," Journal of Banking & Finance, Elsevier, vol. 17(1), pages 27-42, February.
    5. 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.
    6. 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 531-552.
    7. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    8. 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 1209-1227, July.
    9. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    10. 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.
    11. 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 1307-1314, September.
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