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Bond pricing when the short term interest rate follows a threshold process


  • Lemke, Wolfgang
  • Archontakis, Theofanis


Using a stochastic discount factor approach, we derive the exact solution for arbitrage-free bond yields for the case that the short-term interest rate follows a threshold process with the intercept switching endogenously. The yield functions, mapping the one-month rate into n-period yields, respectively. This is in contrast to linear short-rate process which imply an affine yield function. The intervals for which convexity or concavity prevails increase with time to maturity.

Suggested Citation

  • Lemke, Wolfgang & Archontakis, Theofanis, 2006. "Bond pricing when the short term interest rate follows a threshold process," Discussion Paper Series 1: Economic Studies 2006,06, Deutsche Bundesbank.
  • Handle: RePEc:zbw:bubdp1:4243

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    References listed on IDEAS

    1. Nathalie Girouard & Christophe André, 2005. "Measuring Cyclically-adjusted Budget Balances for OECD Countries," OECD Economics Department Working Papers 434, OECD Publishing.
    2. Vincent Koen & Paul van den Noord, 2005. "Fiscal Gimmickry in Europe: One-Off Measures and Creative Accounting," OECD Economics Department Working Papers 417, OECD Publishing.
    3. Bouthevillain, C. & Van Den Dool, G. & Langenus, G. & Mohr, M. & Momigliano, S. & Tujula, M. & De Cos, P.H. & Cour-Thimann, Philippine, 2001. "Cyclically Adjusted Budget Balances: an Alternative Approach," Papers 77, Quebec a Montreal - Recherche en gestion.
    4. Nathalie Girouard & Robert W. R. Price, 2004. "Asset Price Cycles, “One-Off” Factors and Structural Budget Balances," OECD Economics Department Working Papers 391, OECD Publishing.
    5. Eschenbach, Felix & Schuknecht, Ludger, 2002. "Asset prices and fiscal balances," Working Paper Series 0141, European Central Bank.
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    Cited by:

    1. Renne Jean-Paul, 2017. "A model of the euro-area yield curve with discrete policy rates," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 21(1), pages 99-116, February.

    More about this item


    Threshold process; term structure of interest rates; nonlinear yield function;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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