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A Measure of Variability in Comovement for Economic Variables : a Time-Varying Coherence Function Approach

  • Essahbi Essaadi

    (GATE - Groupe d'analyse et de théorie économique - CNRS : UMR5824 - Université Lumière - Lyon II - Ecole Normale Supérieure Lettres et Sciences Humaines)

  • Mohamed Boutahar

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - CNRS : UMR6579)

In this paper, we test the instability of comovement, in time and frequency domain, for the GDP growth rate of the US and the UK. We use the frequency approach, which is based on evolutionary spectral analysis (Priestley, 1965-1996). The graphical analysis of the Time-Varying Coherence Function (TVCF) reports the existence of variability in correlation between the two series. Our goal is to estimate first the TVCF of the two series, then to test stability in both the cross-spectra density and in TVCF by detecting various breakpoints in each function.

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Paper provided by HAL in its series Post-Print with number halshs-00333582.

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Date of creation: 2008
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Handle: RePEc:hal:journl:halshs-00333582
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  1. Buiter, Willem H. & Corsetti, Giancarlo & Pesenti, Paolo, 1996. "Interpreting the ERM Crisis: Country-Specific and Systemic Issues," CEPR Discussion Papers 1466, C.E.P.R. Discussion Papers.
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  4. McCullough, B D, 1995. "A Spectral Analysis of Transactions Stock Market Data," The Financial Review, Eastern Finance Association, vol. 30(4), pages 823-42, November.
  5. Essahbi Essaadi & Jamel Jouini & Walih Khallouli, 2007. "The Asian Crisis Contagion: A Dynamic Correlation Approach Analysis," Working Papers 0725, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
  6. Richter Christian & Hallet Andrew Hughes, . "Are Capital Markets Efficient? Evidence from the Term Structure of Interest Rates in Europe," EcoMod2002 330800057, EcoMod.
  7. Essahbi Essaadi & Jamel Jouini & Wajih Khallouli, 2009. "The Asian Crisis Contagion: A Dynamic Correlation Approach Analysis," Post-Print halshs-00404386, HAL.
  8. Mohamed Safouane Ben Aissa & Mohamed Boutahar & Jamel Jouini, 2004. "Bai and Perron's and spectral density methods for structural change detection in the US inflation process," Applied Economics Letters, Taylor & Francis Journals, vol. 11(2), pages 109-115.
  9. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Universite de Montreal, Departement de sciences economiques.
  10. Christophe Croux & Mario Forni & Lucrezia Reichlin, 2001. "A measure of co-movement for economic variables: theory and empirics," ULB Institutional Repository 2013/10139, ULB -- Universite Libre de Bruxelles.
  11. Ploberger, Werner & Kramer, Walter, 1992. "The CUSUM Test with OLS Residuals," Econometrica, Econometric Society, vol. 60(2), pages 271-85, March.
  12. J. Jouini & M. Boutahar, 2003. "Structural breaks in the U.S. inflation process: a further investigation," Applied Economics Letters, Taylor & Francis Journals, vol. 10(15), pages 985-988.
  13. Artis, Michael J & Kontolemis, Zenon G & Osborn, Denise R, 1997. "Business Cycles for G7 and European Countries," The Journal of Business, University of Chicago Press, vol. 70(2), pages 249-79, April.
  14. Ahamada, Ibrahim, 2002. "Tests for covariance stationarity and white noise, with an application to Euro/US dollar exchange rate: An approach based on the evolutionary spectral density," Economics Letters, Elsevier, vol. 77(2), pages 177-186, October.
  15. Andrew Hughes Hallett & Christian R. Richter, 2004. "Spectral Analysis as a Tool for Financial Policy: An Analysis of the Short-End of the British Term Structure," Computational Economics, Society for Computational Economics, vol. 23(3), pages 271-288, 04.
  16. Andrew Hughes Hallett & Christian Richter, 2008. "Have the Eurozone economies converged on a common European cycle?," International Economics and Economic Policy, Springer, vol. 5(1), pages 71-101, July.
  17. Andrew Hallett & Christian Richter, 2006. "Measuring the Degree of Convergence among European Business Cycles," Computational Economics, Society for Computational Economics, vol. 27(2), pages 229-259, May.
  18. Yao, Yi-Ching, 1988. "Estimating the number of change-points via Schwarz' criterion," Statistics & Probability Letters, Elsevier, vol. 6(3), pages 181-189, February.
  19. Duarte, Agustin & Holden, Ken, 2003. "The business cycle in the G-7 economies," International Journal of Forecasting, Elsevier, vol. 19(4), pages 685-700.
  20. Essahbi Essaadi & Jamel Jouini & Wajih Khallouli, 2004. "The Asian Crisis Contagion: A Dynamic Correlation Approach Analysis," Post-Print halshs-00201220, HAL.
  21. Mohamed Safouane Ben Aissa & Jamel Jouini, 2003. "Structural breaks in the US inflation process," Applied Economics Letters, Taylor & Francis Journals, vol. 10(10), pages 633-636.
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