IDEAS home Printed from https://ideas.repec.org/p/gat/wpaper/0827.html
   My bibliography  Save this paper

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

Author

Listed:
  • Essahbi Essaadi

    (GATE, University of Lyon, CNRS, ENS-LSH, Centre Léon Bérard, France)

  • Mohamed Boutahar

    (GREQAM, Université de la Méditerranée, Centre de la Vieille Charité, France)

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 0827, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    • Handle: RePEc:gat:wpaper:0827
    as

    Download full text from publisher

    File URL: ftp://ftp.gate.cnrs.fr/RePEc/2008/0827.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).
    8. repec:ipg:wpaper:2014-062 is not listed on IDEAS
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hal:journl:halshs-00333582 is not listed on IDEAS
    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), pages 351-365.
    3. Jouini, Jamel & Boutahar, Mohamed, 2005. "Evidence on structural changes in U.S. time series," Economic Modelling, Elsevier, vol. 22(3), pages 391-422, May.
    4. Ibrahim Ahamada & Jamel Jouini & Mohamed Boutahar, 2004. "Detecting multiple breaks in time series covariance structure: a non-parametric approach based on the evolutionary spectral density," Applied Economics, Taylor & Francis Journals, vol. 36(10), pages 1095-1101.
    5. 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.
    6. Ibrahim Ahamada & Jamel Jouini & Mohamed Boutahar, 2004. "Detecting multiple breaks in time series covariance structure: a non-parametric approach based on the evolutionary spectral density," Applied Economics, Taylor & Francis Journals, vol. 36(10), pages 1095-1101.
    7. Jamel Jouini, 2009. "Analysis of structural break models based on the evolutionary spectrum: Monte Carlo study and application," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(1), pages 91-110.
    8. 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.
    9. 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.
    10. Ftiti, Zied & Hichri, Walid, 2014. "The price stability under inflation targeting regime: An analysis with a new intermediate approach," Economic Modelling, Elsevier, vol. 38(C), pages 23-32.
    11. Jeddy, Mohamed & Larue, Bruno, 2012. "Mergers, concurrent marketing mechanisms and the performance of sequential auctions," Working Papers 126945, Structure and Performance of Agriculture and Agri-products Industry (SPAA).
    12. Strikholm, Birgit, 2006. "Determining the number of breaks in a piecewise linear regression model," SSE/EFI Working Paper Series in Economics and Finance 648, Stockholm School of Economics.
    13. 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.
    14. Chia-Hsun Hsieh & Shian-Chang Huang, 2012. "Time-Varying Dependency and Structural Changes in Currency Markets," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 48(2), pages 94-127, March.
    15. Devi, P. Indira & Shanmugam, K.R. & Jayasree, M.G., 2012. "Compensating Wages for Occupational Risks of Farm Workers in India," Indian Journal of Agricultural Economics, Indian Society of Agricultural Economics, vol. 67(2), pages 1-12.
    16. Altansukh, Gantungalag & Becker, Ralf & Bratsiotis, George J. & Osborn, Denise R., 2017. "What is the Globalisation of Inflation?," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 74, pages 1-27.
    17. Mohitosh Kejriwal, 2020. "A Robust Sequential Procedure for Estimating the Number of Structural Changes in Persistence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(3), pages 669-685, June.
    18. Mohamed Boutahar & Jamel Jouini, 2007. "A Methodology For Detecting Breaks In The Mean And Covariance Structure Of Time Series," Working Papers halshs-00354249, HAL.
    19. Bajo-Rubio, Oscar & Diaz-Roldan, Carmen & Esteve, Vicente, 2007. "Change of regime and Phillips curve stability: The case of Spain, 1964-2002," Journal of Policy Modeling, Elsevier, vol. 29(3), pages 453-462.
    20. Davide De Gaetano, 2016. "Forecast Combinations For Realized Volatility In Presence Of Structural Breaks," Departmental Working Papers of Economics - University 'Roma Tre' 0208, Department of Economics - University Roma Tre.
    21. Francis Declerck & Jean-Pierre Indjehagopian & Frédéric Lantz, 2020. "Dynamics of biofuel prices on the European market: Impact of the EU environmental policy on the resources markets," Working Papers hal-02487491, HAL.

    More about this item

    Keywords

    Comovement; Spectral Analysis; Time-Varying Coherence Function; Structural Change.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gat:wpaper:0827. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Nelly Wirth (email available below). General contact details of provider: https://edirc.repec.org/data/gateefr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.