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Kalman Filtering of Generalized Vasicek Term Structure Models

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Author Info
Babbs, Simon H.
Nowman, K. Ben
Abstract

We present a subclass of Langetieg's (1980).linear Gaussian models of the term structure. The bond price is derived in terms of a finite set of state variables with correlated innovations. The subclass contains a reformulation of the double-decay model of Beaglehole and Tenney (1991), enabling us to clarify interpretation of their parameters. We apply Kalman filtering to a state space formulation of the model, allowing measurement errors in the data. One-, two-, and three-factor models are estimated on U.S. data from 1987 1996 and the results indicate the subclass of models can fit the U.S. term structure.

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Publisher Info
Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 34 (1999)
Issue (Month): 01 (March)
Pages: 115-130
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Handle: RePEc:cup:jfinqa:v:34:y:1999:i:01:p:115-130_00

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  1. Delphine Lautier & Alain Galli, 2004. "Simple and extended Kalman filters: an application to term structures of commodity prices," Applied Financial Economics, Taylor and Francis Journals, vol. 14(13), pages 963-973, September. [Downloadable!] (restricted)
  2. J.Marcelo Ochoa, 2006. "An interpretation of an affine term structure model of Chile," Estudios de Economia, University of Chile, Department of Economics, vol. 33(2 Year 20), pages 155-184, December. [Downloadable!]
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  3. Fendel, Ralf, 2008. "A Joint Characterization of German Monetary Policy and the Dynamics of the German Term Structure of Interest Rates," Review of Applied Economics, Review of Applied Economics, vol. 4(1-2). [Downloadable!]
  4. Ait-Sahalia, Yacine & Kimmel, Robert L., 2008. "Estimating Affine Multifactor Term Structure Models Using Closed-Form Likelihood Expansions," Working Paper Series 2008-19, Ohio State University, Charles A. Dice Center for Research in Financial Economics. [Downloadable!]
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  5. Andrew D. Sanford & Gael M. Martin, 2003. "Simulation-Based Bayesian Estimation of Affine Term Structure Models," Monash Econometrics and Business Statistics Working Papers 15/03, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  6. Driessen, J. & Klaassen, P. & Melenberg, B., 2000. "The performance of multi-factor term structure models for pricing and hedging caps and swaptions," Discussion Paper 93, Tilburg University, Center for Economic Research. [Downloadable!]
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  7. Jun Yu & Peter C.B. Phillips, 2001. "Gaussian Estimation of Continuous Time Models of the Short Term Interest Rate," Cowles Foundation Discussion Papers 1309, Cowles Foundation, Yale University. [Downloadable!]
  8. Gonzalo Cortazar & Eduardo S. Schwartz & Lorenzo F. Naranjo, 2007. "Term-structure estimation in markets with infrequent trading," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 12(4), pages 353-369. [Downloadable!]
  9. Jury Falini, 2009. "Pricing caps with HJM models: the benefits of humped volatility," Department of Economics University of Siena 563, Department of Economics, University of Siena. [Downloadable!]
  10. Antulio N. Bomfim, 2003. "Interest rates as options: assessing the markets' view of the liquidity trap," Finance and Economics Discussion Series 2003-45, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  11. Joost Driessen & Bertrand Melenberg & Theo Nijman, 2000. "Testing Affine Term Structure Models in Case of Transaction Costs," Econometric Society World Congress 2000 Contributed Papers 0553, Econometric Society. [Downloadable!]
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  12. Markus Junker & Alexander Szimayer & Niklas Wagner, 2004. "Nonlinear Term Structure Dependence: Copula Functions, Empirics, and Risk Implications," Econometrics 0401007, EconWPA. [Downloadable!]
  13. Wolfram J. Horneff & Raimond Maurer & Olivia S. Mitchell & Ivica Dus, 2006. "Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion," NBER Working Papers 12392, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  14. Fendel, Ralf, 2004. "Towards a Joint Characterization of Monetary Policy and the Dynamics of the Term Structure of Interest Rates," Discussion Paper Series 1: Economic Studies 2004,24, Deutsche Bundesbank, Research Centre. [Downloadable!]
  15. Michael Brennan & Ashley Wang & Yihong Xia, 2003. "Estimation and Test of a Simple Model of Intertemporal Capital Asset Pricing," University of California at Los Angeles, Anderson Graduate School of Management 1011, Anderson Graduate School of Management, UCLA. [Downloadable!]
  16. Antulio N. Bomfim, 2003. "Monetary policy and the yield curve," Finance and Economics Discussion Series 2003-15, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  17. Gonzalo Cortazar & Eduardo Schwartz & Lorezo Naranjo, 2003. "Term Structure Estimation in Low-Frequency Transaction Markets: A Kalman Filter Approach with Incomplete Panel-Data," University of California at Los Angeles, Anderson Graduate School of Management 1109, Anderson Graduate School of Management, UCLA. [Downloadable!]
  18. Eckhard Platen & Wolfgang Runggaldier, 2007. "A Benchmark Approach to Portfolio Optimization under Partial Information," Research Paper Series 191, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
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  19. Antulio N. Bomfim, 2003. "Counterparty credit risk in interest rate swaps during times of market stress," Finance and Economics Discussion Series 2003-09, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  20. Marcelo Ochoa, 2006. "Interpreting an Affine Term Structure Model for Chile," Working Papers Central Bank of Chile 380, Central Bank of Chile. [Downloadable!]
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