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Fractional Cointegration in US Term Spreads

  • Guglielmo Maria Caporale
  • Luis A. Gil-Alana

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.

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File URL: http://www.diw.de/documents/publikationen/73/diw_01.c.353194.de/dp981.pdf
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Paper provided by DIW Berlin, German Institute for Economic Research in its series Discussion Papers of DIW Berlin with number 981.

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Length: 8 p.
Date of creation: 2010
Date of revision:
Handle: RePEc:diw:diwwpp:dp981
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  1. Campbell, John & Shiller, Robert, 1987. "Cointegration and Tests of Present Value Models," Scholarly Articles 3122490, Harvard University Department of Economics.
  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. 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.
  4. 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 116-26, February.
  5. 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.
  6. 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.
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