IDEAS home Printed from https://ideas.repec.org/p/ehu/biltok/5575.html
   My bibliography  Save this paper

Wavelet multiple correlation and cross-correlation: A multiscale analysis of euro zone stock markets

Author

Listed:
  • Fernández Macho, Francisco Javier

Abstract

Statistical studies that consider multiscale relationships among several variables use wavelet correlations and cross-correlations between pairs of variables. This procedure needs to calculate and compare a large number of wavelet statistics. The analysis can then be rather confusing and even frustrating since it may fail to indicate clearly the multiscale overall relationship that might exist among the variables. This paper presents two new statistical tools that help to determine the overall correlation for the whole multivariate set on a scale-by-scale basis. This is illustrated in the analysis of a multivariate set of daily Eurozone stock market returns during a recent period. Wavelet multiple correlation analysis reveals the existence of a nearly exact linear relationship for periods longer than the year, which can be interpreted as perfect integration of these Euro stock markets at the longest time scales. It also shows that small inconsistencies between Euro markets seem to be just short within-year discrepancies possibly due to the interaction of different agents with different trading horizons. On the other hand, multiple cross-correlation analysis shows that the French CAC40 may lead the rest of the Euro markets at those short time scales.

Suggested Citation

  • Fernández Macho, Francisco Javier, 2011. "Wavelet multiple correlation and cross-correlation: A multiscale analysis of euro zone stock markets," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
    • Handle: RePEc:ehu:biltok:5575
    as

    Download full text from publisher

    File URL: https://addi.ehu.es/handle/10810/5575
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jian Yang & Insik Min & Qi Li, 2003. "European Stock Market Integration: Does EMU Matter?," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 30(9‐10), pages 1253-1276, December.
    2. Fratzscher, Marcel, 2002. "Financial Market Integration in Europe: On the Effects of EMU on Stock Markets," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 7(3), pages 165-193, July.
    3. Gallegati, Marco, 2008. "Wavelet analysis of stock returns and aggregate economic activity," Computational Statistics & Data Analysis, Elsevier, vol. 52(6), pages 3061-3074, February.
    4. Dionisio, Andreia & Menezes, Rui & Mendes, Diana A., 2007. "On the integrated behaviour of non-stationary volatility in stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 58-65.
    5. Gikas A. Hardouvelis & Dimitrios Malliaropulos & Richard Priestley, 2006. "EMU and European Stock Market Integration," The Journal of Business, University of Chicago Press, vol. 79(1), pages 365-392, January.
    6. Aguiar-Conraria, Luís & Azevedo, Nuno & Soares, Maria Joana, 2008. "Using wavelets to decompose the time–frequency effects of monetary policy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2863-2878.
    7. Jussi Nikkinen & Seppo Pynnönen & Mikko Ranta & Sami Vähämaa, 2011. "Cross‐dynamics of exchange rate expectations: a wavelet analysis," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 16(3), pages 205-217, July.
    8. Jian Yang & Insik Min & Qi Li, 2003. "European Stock Market Integration: Does EMU Matter?," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 30(9‐10), pages 1253-1276, December.
    9. Gallegati Marco & Gallegati Mauro, 2007. "Wavelet Variance Analysis of Output in G-7 Countries," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(3), pages 1-25, September.
    10. Bartram, Sohnke M. & Taylor, Stephen J. & Wang, Yaw-Huei, 2007. "The Euro and European financial market dependence," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1461-1481, May.
    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. Zhu, Bangzhu & Ye, Shunxin & Han, Dong & Wang, Ping & He, Kaijian & Wei, Yi-Ming & Xie, Rui, 2019. "A multiscale analysis for carbon price drivers," Energy Economics, Elsevier, vol. 78(C), pages 202-216.
    2. Chaker Aloui & Rania Jammazi & Hela Ben Hamida, 2018. "Multivariate Co-movement Between Islamic Stock and Bond Markets Among the GCC: A Wavelet-Based View," Computational Economics, Springer;Society for Computational Economics, vol. 52(2), pages 603-626, August.
    3. Antonios K. Alexandridis & Mohammad S. Hasan, 2020. "Global financial crisis and multiscale systematic risk: Evidence from selected European stock markets," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 25(4), pages 518-546, October.
    4. Berger, Theo, 2015. "A wavelet based approach to measure and manage contagion at different time scales," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 338-350.
    5. Boubaker, Heni & Raza, Syed Ali, 2017. "A wavelet analysis of mean and volatility spillovers between oil and BRICS stock markets," Energy Economics, Elsevier, vol. 64(C), pages 105-117.
    6. Bošnjak Mile & Novak Ivan & Bašić Maja, 2021. "Capital Market Returns and Inflation Nexus in Croatia: Wavelet Coherence Analysis," Business Systems Research, Sciendo, vol. 12(2), pages 253-267, December.
    7. Gourène, Grakolet Arnold Zamereith & Mendy, Pierre, 2014. "Beginning an African Stock Markets Integration? A Wavelet Analysis," MPRA Paper 76048, University Library of Munich, Germany.
    8. Kaijian He & Rui Zha & Jun Wu & Kin Keung Lai, 2016. "Multivariate EMD-Based Modeling and Forecasting of Crude Oil Price," Sustainability, MDPI, vol. 8(4), pages 1-11, April.
    9. Huang, Shupei & An, Haizhong & Gao, Xiangyun & Huang, Xuan, 2015. "Identifying the multiscale impacts of crude oil price shocks on the stock market in China at the sector level," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 13-24.
    10. Benhmad, François, 2013. "Bull or bear markets: A wavelet dynamic correlation perspective," Economic Modelling, Elsevier, vol. 32(C), pages 576-591.
    11. Gandjon Fankem, Gislain Stéphane & Fouda Mbesa, Lucien Cédric, 2023. "Business cycle synchronization and African monetary union: A wavelet analysis," Journal of Macroeconomics, Elsevier, vol. 77(C).
    12. Umar, Zaghum & Trabelsi, Nader & Alqahtani, Faisal, 2021. "Connectedness between cryptocurrency and technology sectors: International evidence," International Review of Economics & Finance, Elsevier, vol. 71(C), pages 910-922.
    13. Avishek BHANDARI, 2017. "Wavelets based multiscale analysis of select global equity returns," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania / Editura Economica, vol. 0(4(613), W), pages 75-88, Winter.
    14. Chakrabarty, Anindya & De, Anupam & Gunasekaran, Angappa & Dubey, Rameshwar, 2015. "Investment horizon heterogeneity and wavelet: Overview and further research directions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 45-61.
    15. Fousekis, Panos & Grigoriadis, Vasilis, 2016. "Spatial price dependence by time scale: Empirical evidence from the international butter markets," Economic Modelling, Elsevier, vol. 54(C), pages 195-204.
    16. Dilip M. Nachane & Amlendu Dubey, 2021. "The Spectral Envelope: An Application to the Decoupling Problem in Economics," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(1), pages 287-308, December.
    17. Boako, Gideon & Alagidede, Imhotep Paul & Sjo, Bo & Uddin, Gazi Salah, 2020. "Commodities price cycles and their interdependence with equity markets," Energy Economics, Elsevier, vol. 91(C).
    18. Mensi, Walid & Rehman, Mobeen Ur & Vo, Xuan Vinh & Kang, Sang Hoon, 2024. "Spillovers and multiscale relationships among cryptocurrencies: A portfolio implication using high frequency data," Economic Analysis and Policy, Elsevier, vol. 82(C), pages 449-479.
    19. Samia Nasreen & Syed Asif Ali Naqvi & Aviral Kumar Tiwari & Shawkat Hammoudeh & Syed Ale Raza Shah, 2020. "A Wavelet-Based Analysis of the Co-Movement between Sukuk Bonds and Shariah Stock Indices in the GCC Region: Implications for Risk Diversification," JRFM, MDPI, vol. 13(4), pages 1-21, March.

    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. Polanco-Martínez, J.M. & Fernández-Macho, J. & Neumann, M.B. & Faria, S.H., 2018. "A pre-crisis vs. crisis analysis of peripheral EU stock markets by means of wavelet transform and a nonlinear causality test," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1211-1227.
    2. Pereira, Hernane Borges de Barros & Rosário, Raphael Silva do & Pereira, Eder Johnson de Area Leão & Moreira, Davidson Martins & Ferreira, Paulo & Miranda, José Garcia Vivas, 2022. "Network dynamic and stability on European Union," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    3. Mylonidis, Nikolaos & Kollias, Christos, 2010. "Dynamic European stock market convergence: Evidence from rolling cointegration analysis in the first euro-decade," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2056-2064, September.
    4. Gębka, Bartosz & Karoglou, Michail, 2013. "Have the GIPSI settled down? Breaks and multivariate stochastic volatility models for, and not against, the European financial integration," Journal of Banking & Finance, Elsevier, vol. 37(9), pages 3639-3653.
    5. Apergis, Nicholas & Christou, Christina & Miller, Stephen M., 2014. "Country and industry convergence of equity markets: International evidence from club convergence and clustering," The North American Journal of Economics and Finance, Elsevier, vol. 29(C), pages 36-58.
    6. Dimitriou, Dimitrios & Simos, Theodore, 2011. "Monetary Union effects on European stock market integration: An international CAPM approach with currency risk," MPRA Paper 37477, University Library of Munich, Germany.
    7. Suk-Joong Kim & Fari Moshirian & Eliza Wu, 2018. "Dynamic Stock Market Integration Driven by the European Monetary Union: An Empirical Analysis," World Scientific Book Chapters, in: Information Spillovers and Market Integration in International Finance Empirical Analyses, chapter 10, pages 305-368, World Scientific Publishing Co. Pte. Ltd..
    8. Chen, Peng, 2018. "Understanding international stock market comovements: A comparison of developed and emerging markets," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 451-464.
    9. Bley, Jorg, 2009. "European stock market integration: Fact or fiction?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 19(5), pages 759-776, December.
    10. Maela Giofré, 2012. "Convergence of EMU Equity Portfolios," Open Economies Review, Springer, vol. 23(2), pages 381-419, April.
    11. Giofré, Maela/M., 2008. "EMU Effects on Stock Markets: From Home Bias to Euro Bias," MPRA Paper 13926, University Library of Munich, Germany.
    12. Luís Aguiar-Conraria & Maria Joana Soares, 2014. "The Continuous Wavelet Transform: Moving Beyond Uni- And Bivariate Analysis," Journal of Economic Surveys, Wiley Blackwell, vol. 28(2), pages 344-375, April.
    13. Abid, Fathi & Kaffel, Bilel, 2018. "Time–frequency wavelet analysis of the interrelationship between the global macro assets and the fear indexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1028-1045.
    14. Luís Aguiar-Conraria & Maria Soares, 2011. "Oil and the macroeconomy: using wavelets to analyze old issues," Empirical Economics, Springer, vol. 40(3), pages 645-655, May.
    15. Aslanidis, Nektarios & Dungey, Mardi & Savva, Christos S., 2008. "Progress Towards to Equity Market Integration in Eastern Europe," Working Papers 2072/13265, Universitat Rovira i Virgili, Department of Economics.
    16. Dias, José G. & Ramos, Sofia B., 2013. "A core–periphery framework in stock markets of the euro zone," Economic Modelling, Elsevier, vol. 35(C), pages 320-329.
    17. Syriopoulos, Theodore, 2006. "Risk and return implications from investing in emerging European stock markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(3), pages 283-299, July.
    18. Chien, Mei-Se & Lee, Chien-Chiang & Hu, Te-Chung & Hu, Hui-Ting, 2015. "Dynamic Asian stock market convergence: Evidence from dynamic cointegration analysis among China and ASEAN-5," Economic Modelling, Elsevier, vol. 51(C), pages 84-98.
    19. Mevlud Islami & Paul Welfens, 2013. "Financial market integration, stock markets and exchange rate dynamics in Eastern Europe," International Economics and Economic Policy, Springer, vol. 10(1), pages 47-79, March.

    More about this item

    Keywords

    Euro zone; MODWT; multiscale analysis; multivariate analysis; stock markets; returns; wavelet transform;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    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:ehu:biltok:5575. 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: Alcira Macías (email available below). General contact details of provider: https://edirc.repec.org/data/deehues.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.