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Fractional Cointegration in US Term Spreads

Author

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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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    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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