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Estimating Term Structure Equations Using Macroeconomic Variables

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  • Ray Fair

Abstract

This paper begins with the expectations theory of the term structure of interest rates with constant term premia and then postulates how expectations of future short term interest rates are formed. Expectations depend in part on predictions from a set of VAR equations and in part on the current and two lagged values of the short term interest rate. The results suggest that there is relevant independent information in both the VAR equations' predictions and the current and two lagged values of the short rate. The model fits the long term interest rate data well, including the 2004-2006 period, which some have found a puzzle. The properties of the model are consistent with the response of the long term U.S. Treasury bond rate to surprise price and employment announcements. The overall results suggest that long term rates can be fairly well explained by modeling expectation formation of future short term rates.

Suggested Citation

  • Ray Fair, 2008. "Estimating Term Structure Equations Using Macroeconomic Variables," Yale School of Management Working Papers amz2387, Yale School of Management.
    • Handle: RePEc:ysm:wpaper:amz2387
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    File URL: https://repec.som.yale.edu/icfpub/publications/2387.pdf
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    References listed on IDEAS

    as
    1. Fair, Ray C & Taylor, John B, 1990. "Full Information Estimation and Stochastic Simulation of Models with Rational Expectations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(4), pages 381-392, Oct.-Dec..
    2. David K. Backus & Jonathan H. Wright, 2007. "Cracking the Conundrum," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 38(1), pages 293-329.
    3. Parke, William R, 1982. "An Algorithm for FIML and 3SLS Estimation of Large Nonlinear Models," Econometrica, Econometric Society, vol. 50(1), pages 81-95, January.
    4. Modigliani, Franco & Shiller, Robert J, 1973. "Inflation, Rational Expectations and the Term Structure of Interest Rates," Economica, London School of Economics and Political Science, vol. 40(157), pages 12-43, February.
    5. Kozicki, Sharon & Tinsley, P. A., 2001. "Shifting endpoints in the term structure of interest rates," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 613-652, June.
    6. Sargent, Thomas J., 1979. "A note on maximum likelihood estimation of the rational expectations model of the term structure," Journal of Monetary Economics, Elsevier, vol. 5(1), pages 133-143, January.
    7. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 495-514.
    8. Fair, Ray C., 2003. "Shock effects on stocks, bonds, and exchange rates," Journal of International Money and Finance, Elsevier, vol. 22(3), pages 307-341, June.
    9. Robert G. King & Andre Kurmann, 2002. "Expectations and the term structure of interest rates : evidence and implications," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 49-95.
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    Cited by:

    1. Elizondo Rocío, 2023. "The Three Intelligible Factors of the Yield Curve in Mexico," Working Papers 2023-13, Banco de México.

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