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Threshold Dynamics of Short-term Interest Rates: Empirical Evidence and Implications for the Term Structure

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  • Theofanis Archontakis
  • Wolfgang Lemke

Abstract

This paper studies a nonlinear one-factor term structure model in discrete time. The short-term interest rate follows a self-exciting threshold autoregressive (SETAR) process that allows for shifts in the intercept and the variance. In comparison with a linear model, we find empirical evidence in favour of the threshold model for Germany and the US. Based on the estimated short-rate dynamics we derive the implied arbitrage-free term structure of interest rates. Since analytical solutions are not feasible, bond prices are computed by means of Monte Carlo integration. The resulting term structure captures stylized facts of the data. In particular, it implies a nonlinear relation between long rates and the short rate. Copyright 2008 The Authors Journal compilation 2008 Banca Monte dei Paschi di Siena SpA.

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Article provided by Banca Monte dei Paschi di Siena SpA in its journal Economic Notes.

Volume (Year): 37 (2008)
Issue (Month): 1 (02)
Pages: 75-117

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Handle: RePEc:bla:ecnote:v:37:y:2008:i:1:p:75-117

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  1. M. Hashem Pesaran & Davide Pettenuzzo & Allan Timmermann, 2006. "Learning, structural instability and present value calculations," Computing in Economics and Finance 2006, Society for Computational Economics 529, Society for Computational Economics.
  2. Lanne, Markku & Saikkonen, Pentti, 2002. "Threshold Autoregressions for Strongly Autocorrelated Time Series," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 20(2), pages 282-89, April.
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