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The Vasicek and CIR Models and the Expectation Hypothesis of the Interest Rate Term Structure


  • Patrick Georges


A good understanding of the theories of the interest rate term structure is important when elaborating a debt management strategy and, in particular, when choosing the maturity structure of the public debt. “Best practises” of debt management suggest the use of modern theories of the term structures based on the seminal papers by Vasicek (1977) and Cox, Ingersoll and Ross (1985). These models have been used to analyse the maturity structure of the public debt both at the Bank of Canada and at the Department of Finance, and in other countries [e.g., Danish Nationalbank (2001)]. This paper documents the Vasicek and CIR term structure of the interest rates that has been introduced into a macro-economic stochastic simulation model (SSM) developed at the Department of Finance. The final aim will be to use the SSM with alternative term structures of interest rates to gauge the robustness of our earlier results described in Georges (2003), which suggests that a shorter debt maturity structure is less expensive on average and also less risky from the point of view of the overall budget balance if demand shocks prevail over the business cycle. Une bonne connaissance des théories de la structure à terme des taux d’intérêts est une condition nécessaire à l’élaboration d’une stratégie de la gestion de la dette publique y comprit du choix de la maturité de cette dette. Les pratiques de rigueur en gestion de la dette utilisent les théories modernes de la gamme des taux basées sur les études de Vasicek (1977) et Cox, Ingersoll et Ross (1985). Ces modèles ont été utilisés à la Banque du Canada et au Ministère des Finances, ainsi que dans d’autres pays [e.g., Banque Nationale du Danemark (2001)] afin d’analyser la maturité de la dette publique. Ce papier documente les structures à terme des modèles de Vasicek et CIR introduits dans un modèle macro-économique de simulation stochastique (MSS) développé au Ministère des Finances. L’objectif ultime sera d’utiliser le MSS avec des structures à terme alternatives afin d’examiner la sensibilité de nos résultats antérieurs (Georges 2003) selon lesquels une structure de dette à plus court terme est moins coûteuse en moyenne et moins risquée du point de vue du solde budgétaire si les chocs de demande dominent au cours du cycle des affaires.

Suggested Citation

  • Patrick Georges, "undated". "The Vasicek and CIR Models and the Expectation Hypothesis of the Interest Rate Term Structure," Working Papers-Department of Finance Canada 2003-17, Department of Finance Canada.
  • Handle: RePEc:fca:wpfnca:2003-17

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    References listed on IDEAS

    1. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-577, Sept.-Oct.
    2. Pesaran, M. Hashem & Shin, Yongcheol & Smith, Richard J., 2000. "Structural analysis of vector error correction models with exogenous I(1) variables," Journal of Econometrics, Elsevier, vol. 97(2), pages 293-343, August.
    3. Ewing, Bradley T., 2001. "Cross-Effects of Fundamental State Variables," Journal of Macroeconomics, Elsevier, vol. 23(4), pages 633-645, October.
    4. B. Dahlby & L. S. Wilson, 1994. "Fiscal Capacity, Tax Effort, and Optimal Equalization Grants," Canadian Journal of Economics, Canadian Economics Association, vol. 27(3), pages 657-672, August.
    5. Anthony Garratt & Kevin Lee & M. Hashem Pesaran & Yongcheol Shin, 2003. "A Long run structural macroeconometric model of the UK," Economic Journal, Royal Economic Society, vol. 113(487), pages 412-455, April.
    6. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    7. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-472, August.
    8. Benkwitz, Alexander & L tkepohl, Helmut & Wolters, J rgen, 2001. "Comparison Of Bootstrap Confidence Intervals For Impulse Responses Of German Monetary Systems," Macroeconomic Dynamics, Cambridge University Press, vol. 5(01), pages 81-100, February.
    9. P.R. Agenor & J. Aizenman & A. Hoffmaister, 1998. "Contagion, Bank Lending Spreads and Output Fluctuations," NBER Working Papers 6850, National Bureau of Economic Research, Inc.
    10. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
    11. Thomas J. Courchene & David A. Beavis, 1973. "Federal-Provincial Tax Equalization: An Evaluation," Canadian Journal of Economics, Canadian Economics Association, vol. 6(4), pages 483-502, November.
    12. Pesaran, M. H. & Smith, Ron P., 1998. "Structural Analysis of Cointegrating VARs," Cambridge Working Papers in Economics 9811, Faculty of Economics, University of Cambridge.
    13. Pesaran, H. Hashem & Shin, Yongcheol, 1998. "Generalized impulse response analysis in linear multivariate models," Economics Letters, Elsevier, vol. 58(1), pages 17-29, January.
    14. M. Hashem Pesaran & Ron P. Smith, 1998. "Structural Analysis of Cointegrating VARs," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 471-505, December.
    15. Michael Bleaney & Norman Gemmell & Richard Kneller, 2001. "Testing the endogenous growth model: public expenditure, taxation, and growth over the long run," Canadian Journal of Economics, Canadian Economics Association, vol. 34(1), pages 36-57, February.
    16. Masayoshi Hayashi & Robin Boadway, 2001. "An empirical analysis of intergovernmental tax interaction: the case of business income taxes in Canada," Canadian Journal of Economics, Canadian Economics Association, vol. 34(2), pages 481-503, May.
    17. Anthony Garratt & Kevin Lee & Mohammad Hashem Pesaran & Yongcheol Shin, 1998. "A structural cointegrating VAR approach to macroeconometric modelling," ESE Discussion Papers 8, Edinburgh School of Economics, University of Edinburgh.
    18. Michael Smart, 1998. "Taxation and Deadweight Loss in a System of Intergovernmental Transfers," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 189-206, February.
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    1. Michael E. Cahill & Stefania D’Amico & Canlin Li & John S. Sears, 2013. "Duration risk versus local supply channel in Treasury yields: evidence from the Federal Reserve's asset purchase announcements," Finance and Economics Discussion Series 2013-35, Board of Governors of the Federal Reserve System (U.S.).

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