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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," Post-Print halshs-00550460, HAL.
    • Handle: RePEc:hal:journl:halshs-00550460
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00550460
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    References listed on IDEAS

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    Cited by:

    1. Zied Ftiti & Aviral Tiwari & Amél Belanès, 2014. "Tests of Financial Market Contagion: Evolutionary Cospectral Analysis V.S. Wavelet Analysis," Working Papers 2014-62, Department of Research, Ipag Business School.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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).
    7. 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.
    8. 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.
    9. 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), pages 351-365.
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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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