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The Meiselman forward interest rate revision regression as an Affine Term Structure Model

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  • Adam Golinski
  • Peter Spencer

Abstract

We adapt the Meiselman (1962) OLS forward rate revision framework to obtain the discrete time analogue of the Heath, Jarrow and Morton (1992) specification and use it for estimating and testing term structure models. Our framework is based upon the Wold representation of the factor dynamics and combines the flexibility of the ‘no arbitrage’ approach used by practitioners for pricing with the time series domain econometrics used in the ‘equilibrium approach’ by academic researchers. It allows us to estimate the no-arbitrage term structure under the risk-neutral measure without adopting any specific model of the factor dynamics. Using three different datasets we find that our discrete time Heath et al (1992) no-arbitrage model is not rejected against the unrestricted OLS model of Meiselman (1962). We then develop a dynamic term structure model by specifying a model of a risk premium to link the risk neutral dynamics of the cross section to the real-world factor dynamics. We analyse several different models of the dynamics from the ARFIMA class and find that the more flexible models allowing for long memory outperform short memory models and are not rejected against the Heath et al and Meiselman specifications.

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Bibliographic Info

Paper provided by Department of Economics, University of York in its series Discussion Papers with number 12/27.

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Date of creation: Oct 2012
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Handle: RePEc:yor:yorken:12/27

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Postal: Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom
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Keywords: term structure; Meiselman regression; forward rate revision; Wold representation; long memory.;

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  1. Farshid Jamshidian, 1997. "LIBOR and swap market models and measures (*)," Finance and Stochastics, Springer, vol. 1(4), pages 293-330.
  2. Tkacz Greg, 2001. "Estimating the Fractional Order of Integration of Interest Rates Using a Wavelet OLS Estimator," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-15, April.
  3. Joann Jasiak & Christian Gourieroux, 2006. "Autoregressive gamma processes," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 25(2), pages 129-152.
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  7. Duan, Jin-Chuan & Jacobs, Kris, 1996. "A simple long-memory equilibrium interest rate model," Economics Letters, Elsevier, vol. 53(3), pages 317-321, December.
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  12. Garcia, R. & Perron, P., 1990. "An Anlysis Of The Real Interest Rate Under Regime Shifts," Papers 353, Princeton, Department of Economics - Econometric Research Program.
  13. Jefferson Duarte, 2004. "Evaluating an Alternative Risk Preference in Affine Term Structure Models," Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 379-404.
  14. Sydeny C. Ludvigson & Serena Ng, 2005. "Macro Factors in Bond Risk Premia," NBER Working Papers 11703, National Bureau of Economic Research, Inc.
  15. Heath, David & Jarrow, Robert & Morton, Andrew, 1990. "Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(04), pages 419-440, December.
  16. Shea, Gary S, 1991. "Uncertainty and Implied Variance Bounds in Long-Memory Models of the Interest Rate Term Structure," Empirical Economics, Springer, vol. 16(3), pages 287-312.
  17. Hendry, David F., 1995. "Dynamic Econometrics," OUP Catalogue, Oxford University Press, number 9780198283164, September.
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