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

  • Joanna Bruzda

    ()

    (Nicolaus Copernicus University, Department of Logistics)

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.

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File URL: http://www.bankikredyt.nbp.pl/content/2011/03/bik_03_2011_01_art.pdf
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Article provided by National Bank of Poland, Economic Institute in its journal Bank i Kredyt.

Volume (Year): 42 (2011)
Issue (Month): 3 ()
Pages: 5-32

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Handle: RePEc:nbp:nbpbik:v:42:y:2011:i:3:p:5-32
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  1. 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.
  2. 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.
  3. 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, 04.
  4. 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.
  5. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists ," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, 04.
  6. Darvas, Zsolt & Szapáry, György, 2005. "Business Cycle Sychronization in the Enlarged EU," CEPR Discussion Papers 5179, C.E.P.R. Discussion Papers.
  7. Jarko Fidrmuc & Iikka Korhonen, 2006. "Meta-Analysis of the Business Cycle Correlation between the Euro Area and the CEECs," CESifo Working Paper Series 1693, CESifo Group Munich.
  8. 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).
  9. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Staff Working Papers 02-3, Bank of Canada.
  10. Yogo, Motohiro, 2008. "Measuring business cycles: A wavelet analysis of economic time series," Economics Letters, Elsevier, vol. 100(2), pages 208-212, August.
  11. 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.
  12. 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.
  13. 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.
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