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

Author

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  • 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)

  • Essahbi Essaadi

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

Abstract
In this paper, we suggest a different dynamic measure of comovement which is unlike previous studies allowing to test instability in comovement between two non stationary economic time series. We use the frequency approach, which is based on evolutionary spectral analysis, to estimate the Time-Varying Coherence Function (TVCF). Then we test stability in both cross-spectra and TVCF by detecting endogenously various break points in each function. Applying this new methodology to the GDP growth rate of the US and UK, we get an interesting result about period of business cycle convergence and divergence for these economies.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Mohamed Boutahar & Essahbi Essaadi, 2010. "A Measure of Variability in Comovement for Economic Variables: a Time-Varying Coherence Function Approach," Post-Print halshs-00566026, HAL.
    • Handle: RePEc:hal:journl:halshs-00566026
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    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.
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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

    Time-Varying Coherence Function Approach; comovement estimation;

    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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