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Cointegration in Frequency Domain

  • Daniel Levy

    ()

    (Department of Economics, Bar Ilan University)

Existence of a cointegration relationship between two time series in the time domain imposes restrictions on the series zero-frequency behaviour in terms of their squared coherence, phase, and gain, in the frequency domain. I derive these restrictions by studying cross-spectral properties of a cointegrated bivariate system. Specifically, I demonstrate that if two difference stationary series, X and Yt- b] and thus share a common stochastic trend, then at the zero frequency, the squared coherence of (1 - L) Xt and (1 - L) Yt will equal one, their phase will equal zero, and their gain will equal |b|.

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File URL: http://www.biu.ac.il/soc/ec/wp/12-02/12-02.pdf
File Function: Working paper
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Paper provided by Bar-Ilan University, Department of Economics in its series Working Papers with number 2002-12.

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Date of creation: May 2002
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Handle: RePEc:biu:wpaper:2002-12
Contact details of provider: Postal: Faculty of Social Sciences, Bar Ilan University 52900 Ramat-Gan
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Web page: http://www.biu.ac.il/soc/ec
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  1. Daniel Levy, 2005. "Investment-Saving Comovement and Capital Mobility: Evidence from Century Long U.S. Time Series," International Finance 0505006, EconWPA, revised 16 May 2005.
  2. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
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