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A Time-Frequency Analysis of the Coherences of the US Business Cycle and the European Business Cycle

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  • Hughes Hallett, Andrew
  • Richter, Christian

Abstract

The search for and dating of a possible european business cycle, has been inconclusive. At this stage, there is no consensus on the existence of such a cycle, or of its periodicity and amplitude, or of the relationship of individual member countries to that cycle. Yet cyclical convergence is the key consideration for countries which have to decide whether they wish to be members of a currency union such as the euro. The confusion over whether and to what degree the UK is converging on the cycles of its European partners, or whether its cycle is more in line with the US, is a classic example of the difficulties caused by this lack of consensus. We argue that different countries will vary in the components and characteristics that make up their output cycles, as well as vary in the state of their cycle at any point of time. We show how to decompose a business cycle in a time-frequency framework. This then allows us to decompose movements in output, both at the European level and in member countries, into their component cycles and allows those component cycles to vary in importance and cyclical characteristics over time. It also allows us to determine if the nonconclusive results so far have appeared because member countries have some cycles in common, but diverge (i.e. have nothing in common) at other frequencies.

Suggested Citation

  • Hughes Hallett, Andrew & Richter, Christian, 2004. "A Time-Frequency Analysis of the Coherences of the US Business Cycle and the European Business Cycle," CEPR Discussion Papers 4751, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:4751
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    Citations

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    Cited by:

    1. Jan Zápal, 2006. "Relation between Cyclically Adjusted Budget Balance and Growth Accounting Method of Deriving ‘Net Fiscal Effort’," Working Papers IES 2006/05, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Apr 2006.
    2. 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.
    3. Hasan Engin Duran, 2015. "Dynamics of Business Cycle Synchronization in Turkey," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 62(5), pages 581-606, December.
    4. Matthieu Lemoine, 2005. "A model of the stochastic convergence between business cycles," Documents de Travail de l'OFCE 2005-05, Observatoire Francais des Conjonctures Economiques (OFCE).

    More about this item

    Keywords

    business cycle; coherence; growth rates; time-frequency analysis;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C29 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Other
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other
    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies
    • O49 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Other

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