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

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  • 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
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    References listed on IDEAS

    as
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    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. Lubos Hanus & Lukas Vacha, 2015. "Business cycle synchronization within the European Union: A wavelet cohesion approach," Papers 1506.03106, arXiv.org, revised Feb 2016.
    4. Luboš Hanus & Lukáš Vácha, 2020. "Growth cycle synchronization of the Visegrad Four and the European Union," Empirical Economics, Springer, vol. 58(4), pages 1779-1795, April.
    5. Saulius Jokubaitis & Dmitrij Celov, 2022. "Business Cycle Synchronization in the EU: A Regional-Sectoral Look through Soft-Clustering and Wavelet Decomposition," Papers 2206.14128, arXiv.org.
    6. Arkadiusz Kijek, 2017. "Spectral analysis of business cycles in Poland and its major trading partners," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(1), pages 57-75.
    7. Marta Skrzypczyńska, 2014. "Cyclical Processes in the Polish Economy," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 6(3), pages 153-192, September.
    8. 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.

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    More about this item

    Keywords

    business cycle synchronization; euro zone; wavelet analysis; maximal overlap discrete wavelet transform; Hilbert wavelet pairs;
    All these keywords.

    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

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