IDEAS home Printed from https://ideas.repec.org/a/nbp/nbpbik/v42y2011i3p5-32.html
   My bibliography  Save this article

Business cycle synchronization according to wavelets – the case of Poland and the euro zone member countries

Author

Listed:
  • Joanna Bruzda

    () (Nicolaus Copernicus University, Department of Logistics)

Abstract

In the paper time-frequency analysis in the form of the maximal overlap discrete wavelet transform (MODWT) and its complex variant – the maximal overlap discrete Hilbert wavelet transform (MODHWT) is applied to study changing patterns of business cycle synchronization between Poland and 8 euro zone member countries (France, Germany, Greece, Ireland, Italy, the Netherlands, Portugal and Spain). We also touch upon the endogeneity hypothesis of the optimum currency area criteria and ask about the recent changes in business cycle variability and their influence on the level of synchronization. Wavelet analysis is a very convenient way of studying business cycles as it possesses good localization properties and is highly efficient in extracting time- -varying frequency content of time series. In the paper we make use of these properties and provide a detailed characterization of the degree of business cycle synchronization among the countries under study as well as of the changing amplitudes of business cycles which are measured here as the appropriate frequency components of industrial production indices. In the examination we apply wavelet analysis of variance, wavelet correlation and cross-correlation examination as well as wavelet coherence and wavelet phase angle analysis in their global and (or) local (short-term) versions. The empirical examination points at an increasing synchronization of the Polish business cycle with the euro zone cycles as well as a fairly stable level of business cycle synchronization among the euro zone countries themselves.

Suggested Citation

  • Joanna Bruzda, 2011. "Business cycle synchronization according to wavelets – the case of Poland and the euro zone member countries," Bank i Kredyt, Narodowy Bank Polski, vol. 42(3), pages 5-32.
  • Handle: RePEc:nbp:nbpbik:v:42:y:2011:i:3:p:5-32
    as

    Download full text from publisher

    File URL: http://www.bankikredyt.nbp.pl/content/2011/03/bik_03_2011_01_art.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Jakob de Haan & Robert Inklaar & Richard Jong-A-Pin, 2008. "Will Business Cycles In The Euro Area Converge? A Critical Survey Of Empirical Research," Journal of Economic Surveys, Wiley Blackwell, vol. 22(2), pages 234-273, April.
    2. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Staff Working Papers 02-3, Bank of Canada.
    3. Fidrmuc, Jarko & Korhonen, Iikka, 2006. "Meta-analysis of the business cycle correlation between the euro area and the CEECs," Journal of Comparative Economics, Elsevier, vol. 34(3), pages 518-537, September.
    4. Yogo, Motohiro, 2008. "Measuring business cycles: A wavelet analysis of economic time series," Economics Letters, Elsevier, vol. 100(2), pages 208-212, August.
    5. Zsolt Darvas & György Szapáry, 2008. "Business Cycle Synchronization in the Enlarged EU," Open Economies Review, Springer, vol. 19(1), pages 1-19, February.
    6. Vrowley, Patrick M. & Maraun, Douglas & Mayes, David, 2006. "How hard is the euro area core? : an evaluation of growth cycles using wavelet analysis," Research Discussion Papers 18/2006, Bank of Finland.
    7. 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.
    8. Ramsey, J.B., 2002. "Wavelets in Economics and Finance: Past and Future," Working Papers 02-02, C.V. Starr Center for Applied Economics, New York University.
    9. Bruzda, Joanna, 2011. "On some problems in discrete wavelet analysis of bivariate spectra with an application to business cycle synchronization in the euro zone," Economics Discussion Papers 2011-5, Kiel Institute for the World Economy (IfW).
    10. Christos S. Savva & Kyriakos C. Neanidis & Denise R. Osborn, 2010. "Business cycle synchronization of the euro area with the new and negotiating member countries," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 15(3), pages 288-306.
    11. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists ," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    12. Ramsey James B., 2002. "Wavelets in Economics and Finance: Past and Future," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-29, November.
    13. Andrew Hughes Hallett & Christian R. Richter, 2007. "Time Varying Cyclical Analysis for Economies in Transition," CASE Network Studies and Analyses 0334, CASE-Center for Social and Economic Research.
    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. Lubos Hanus & Lukas Vacha, 2015. "Business cycle synchronization of the Visegrad Four and the European Union," Working Papers IES 2015/19, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jul 2015.
    2. Aleksandra Parteka, 2013. "The evolving structure of Polish exports (1994−2010) – diversification of products and trade partners," Bank i Kredyt, Narodowy Bank Polski, vol. 44(5), pages 435-466.
    3. repec:wut:journl:v:1:y:2017:p:57-75:id:1269 is not listed on IDEAS
    4. Marta Skrzypczyńska, 2014. "Cyclical Processes in the Polish Economy," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 6(3), pages 153-192, September.
    5. Lubos Hanus & Lukas Vacha, 2015. "Business cycle synchronization within the European Union: A wavelet cohesion approach," Papers 1506.03106, arXiv.org, revised Feb 2016.
    6. Bruzda Joanna, 2015. "Amplitude and phase synchronization of European business cycles: a wavelet approach," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(5), pages 625-655, December.

    More about this item

    Keywords

    business cycle synchronization; euro zone; wavelet analysis; maximal overlap discrete wavelet transform; Hilbert wavelet pairs;

    JEL classification:

    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • O52 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - Europe

    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:nbp:nbpbik:v:42:y:2011:i:3:p:5-32. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Michał Wieloch). General contact details of provider: http://edirc.repec.org/data/nbpgvpl.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.