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Application Of The Kalman Filter For Estimating Continuous Time Term Structure Models: Evidence From The Uk And Germany

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Author Info
Rana Chatterjee
Abstract

In this paper a state-space representation for the single-factor Cox, Ingersoll and Ross (1985) model is employed to analyse the intertemporal dynamics of the term structure for UK Gilts and Euro-denominated German Treasury bonds. Closed form solutions for the prices of discount bonds are derived such that they are a function of the unobserved instantaneous spot rate and the model's parameters. Quasi-maximum likelihood estimates of the model parameters are obtained by using the Kalman filter algorithm to calculate the likelihood function. Empirical results show that a one-factor CIR model provides an adequate description of the dynamics of the UK term structure of interest rates for the period 1999-2003. But it is unable to provide such a good description of the German term structure owing to its inability to account for the market price of risk

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2004 with number 346.

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Date of creation: 11 Aug 2004
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Handle: RePEc:sce:scecf4:346

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Related research
Keywords: Kalman filtering; term structure;

Find related papers by JEL classification:
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates
C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General

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  1. Richard, Scott F., 1978. "An arbitrage model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 33-57, March. [Downloadable!] (restricted)
  2. Duan, Jin-Chuan & Simonato, Jean-Guy, 1999. " Estimating and Testing Exponential-Affine Term Structure Models by Kalman Filter," Review of Quantitative Finance and Accounting, Springer, vol. 13(2), pages 111-35, September. [Downloadable!] (restricted)
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  1. Christian Bauer & Sebastian Horlemann, . "Modeling the Term Structure of Exchange Rate Expectations," Macroeconomics, Department of Economics, Economics I, Bayreuth University. [Downloadable!]
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