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Filtres usuels et filtre fondé sur les ondelettes : étude comparative et application au cycle économique

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  • Ibrahim Ahamada
  • Philippe Jolivaldt

Abstract

We compare the performance of Hodrick-Prescott and Baxter-King filters with a filtering method based on the multi-resolution properties of wavelets. We show that the three methods remain broadly comparable if the theoretical cyclical component is defined in the usual waveband, ranging between six and thirty-two quarters. However the wavelet-based approach provides additional information on the business cycle, such as its time stability. We apply our method ? which is based on Monte Carlo simulation experiments ? to U. S. GDP. We find that the estimate of the business-cycle component using growth-rate data is superior to the estimate using the GDP level ; it also provides fuller information on the ?Great Moderation? period that began in the mid-1980s.

Suggested Citation

  • Ibrahim Ahamada & Philippe Jolivaldt, 2010. "Filtres usuels et filtre fondé sur les ondelettes : étude comparative et application au cycle économique," Economie & Prévision, La Documentation Française, vol. 0(4), pages 149-161.
    • Handle: RePEc:cai:ecoldc:ecop_195_0149
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