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Fractional Cointegration in US Term Spreads

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  • Guglielmo Maria Caporale
  • Luis A. Gil-Alana

Abstract

This note examines the stochastic properties of US term spreads with parametric and semi-parametric fractional integration techniques. Since the observed data (rather than the estimated residuals from a cointegrating regression) are used for the analysis, standard methods can be applied. The results indicate that US Treasury maturity rates are I(1) in most cases, although the order of integration decreases with maturity. Further, mean reversion occurs for the 5, 7 and 10 year rates as well as for several term spreads, suggesting that the expectation hypothesis of the term structure is satisfied empirically.

Suggested Citation

  • Guglielmo Maria Caporale & Luis A. Gil-Alana, 2010. "Fractional Cointegration in US Term Spreads," Discussion Papers of DIW Berlin 981, DIW Berlin, German Institute for Economic Research.
  • Handle: RePEc:diw:diwwpp:dp981
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    References listed on IDEAS

    as
    1. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
    2. N. Gregory Mankiw & Lawrence H. Summers, 1984. "Do Long-Term Interest Rates Overreact to Short-Term Interest Rates?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 15(1), pages 223-248.
    3. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    4. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2004. "Fractional cointegration and tests of present value models," Review of Financial Economics, Elsevier, vol. 13(3), pages 245-258.
    5. Marco R Barassi & Dayong Zhang, 2009. "Fractional Integration and Cointegration: Testing the Term Structure of Interest Rates," Discussion Papers 09-17, Department of Economics, University of Birmingham.
    6. Hall, Anthony D & Anderson, Heather M & Granger, Clive W J, 1992. "A Cointegration Analysis of Treasury Bill Yields," The Review of Economics and Statistics, MIT Press, vol. 74(1), pages 116-126, February.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Term structure; Long memory; Fractional integration; Fractional cointegration;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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