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

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  • Essahbi Essaadi

    (GATE - Groupe d'analyse et de théorie économique - UL2 - Université Lumière - Lyon 2 - ENS LSH - Ecole Normale Supérieure Lettres et Sciences Humaines - CNRS - Centre National de la Recherche Scientifique)

  • Mohamed Boutahar

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

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.

Suggested Citation

  • Essahbi Essaadi & Mohamed Boutahar, 2008. "A Measure of Variability in Comovement for Economic Variables : a Time-Varying Coherence Function Approach," Working Papers halshs-00333582, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00333582
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00333582
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    References listed on IDEAS

    as
    1. Essahbi Essaadi & Jamel Jouini & Wajih Khallouli, 2009. "The Asian Crisis Contagion: A Dynamic Correlation Approach Analysis," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 56(2), pages 241-260.
    2. 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, Springer;Society for Computational Economics, vol. 23(3), pages 271-288, April.
    3. 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.
    4. Marcelle Chauvet & Simon Potter, 2001. "Recent Changes in the US Business Cycle," Manchester School, University of Manchester, vol. 69(5), pages 481-508, October.
    5. Pagan, Adrian R. & Schwert, G. William, 1990. "Alternative models for conditional stock volatility," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 267-290.
    6. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    7. McCullough, B D, 1995. "A Spectral Analysis of Transactions Stock Market Data," The Financial Review, Eastern Finance Association, vol. 30(4), pages 823-842, November.
    8. Yao, Yi-Ching, 1988. "Estimating the number of change-points via Schwarz' criterion," Statistics & Probability Letters, Elsevier, vol. 6(3), pages 181-189, February.
    9. Ploberger, Werner & Kramer, Walter, 1992. "The CUSUM Test with OLS Residuals," Econometrica, Econometric Society, vol. 60(2), pages 271-285, March.
    10. Douglas Curtis, 2005. "Monetary Policy and Economic Activity in Canada in the 1990s," Canadian Public Policy, University of Toronto Press, vol. 31(1), pages 59-78, March.
    11. 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.
    12. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    13. 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.
    14. M. B. Priestley, 1965. "The Role of Bandwidth in Spectral Analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 14(1), pages 33-47, March.
    15. Christophe Croux & Mario Forni & Lucrezia Reichlin, 2001. "A Measure Of Comovement For Economic Variables: Theory And Empirics," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 232-241, May.
    16. Artis, Michael J & Bladen-Hovell, Robin & Nachane, Dilip M, 1992. "Instability of the Velocity of Money: A New Approach Based on the Evolutionary Spectrum," CEPR Discussion Papers 735, C.E.P.R. Discussion Papers.
    17. Andrew Hallett & Christian Richter, 2006. "Measuring the Degree of Convergence among European Business Cycles," Computational Economics, Springer;Society for Computational Economics, vol. 27(2), pages 229-259, May.
    18. Andrew Hughes Hallett & Christian R. Richter, 2002. "Are Capital Markets Efficient? Evidence from the Term Structure of Interest Rates in Europe," The Economic and Social Review, Economic and Social Studies, vol. 33(3), pages 333-356.
    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. 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 249-279, April.
    21. Jushan Bai & Pierre Perron, 2003. "Critical values for multiple structural change tests," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 72-78, June.
    22. 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.
    23. Essahbi Essaadi & Jamel Jouini & Wajih Khallouli, 2009. "The Asian Crisis Contagion: A Dynamic Correlation Approach Analysis," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 56(2), pages 241-260, June.
    24. 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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    Cited by:

    1. Zied Ftiti & Aviral Tiwari & Amél Belanès & Khaled Guesmi, 2014. "Tests of Financial Market Contagion: Evolutionary Cospectral Analysis V.S. Wavelet Analysis," Working Papers 2014-577, Department of Research, Ipag Business School.
    2. Allegret, Jean-Pierre & Essaadi, Essahbi, 2011. "Business cycles synchronization in East Asian economy: Evidences from time-varying coherence study," Economic Modelling, Elsevier, vol. 28(1-2), pages 351-365, January.
    3. Zied Ftiti & Aviral Tiwari & Amél Belanès & Khaled Guesmi, 2015. "Tests of Financial Market Contagion: Evolutionary Cospectral Analysis Versus Wavelet Analysis," Computational Economics, Springer;Society for Computational Economics, vol. 46(4), pages 575-611, December.
    4. Essahbi Essaadi, 2017. "The feasibility of currency union in Gulf Cooperation Council countries: A business cycle synchronisation view," The World Economy, Wiley Blackwell, vol. 40(10), pages 2153-2171, October.
    5. Ftiti, Zied, 2010. "The macroeconomic performance of the inflation targeting policy: An approach based on the evolutionary co-spectral analysis (extension for the case of a multivariate process)," Economic Modelling, Elsevier, vol. 27(1), pages 468-476, January.
    6. Creti, Anna & Ftiti, Zied & Guesmi, Khaled, 2014. "Oil price and financial markets: Multivariate dynamic frequency analysis," Energy Policy, Elsevier, vol. 73(C), pages 245-258.
    7. Yu, Yang & Guo, SongLin & Chang, XiaoChen, 2022. "Oil prices volatility and economic performance during COVID-19 and financial crises of 2007–2008," Resources Policy, Elsevier, vol. 75(C).
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    9. Linyue Li & Nan Zhang & Thomas D. Willett, 2012. "Measuring macroeconomic and financial market interdependence: a critical survey," Journal of Financial Economic Policy, Emerald Group Publishing Limited, vol. 4(2), pages 128-145, May.
    10. Awatef Ourir & Elie Bouri & Essahbi Essaadi, 2023. "Hedging the Risks of MENA Stock Markets with Gold: Evidence from the Spectral Approach," Computational Economics, Springer;Society for Computational Economics, vol. 61(1), pages 197-231, January.

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    More about this item

    Keywords

    comovement; spectral analysis; time-varying coherence function; structural change;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles

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