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On Adjusting the H-P Filter for the Frequency of Observations

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  • Uhlig, H.F.H.V.S.
  • Ravn, M.

    (Tilburg University, Center for Economic Research)

Abstract

This paper studies how the HP-Filter should be adjusted, when changing the frequency of observations. The usual choices in the literature are to adjust the smoothing parameter by multiplying it with either the square of the observation frequency ratios or simply with the observation frequency. In contrast, the paper recommends to adjust the filter parameter by multiplying it with the fourth power of the observation frequency ratios. Based on this suggestion, some well-known comparisons of business cycles moments across countries and time periods are recomputed. In particular, we overturn a finding by Backus and Kehoe (1992) on the historical changes in output volatility and return instead to older conventional wisdom (Baily, 1978, Lucas, 1977): based on the new HP-Filter adjustment rule, output volatility turns out to have decreased after the Second World War.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1997-50.

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Date of creation: 1997
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Handle: RePEc:dgr:kubcen:199750

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Web page: http://center.uvt.nl

Related research

Keywords: HP-Filter; frequency of observation; real business cycles; output volatility; pre-war business cycles;

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  2. Peter Brandner & Klaus Neusser, 1992. "Business cycles in open economies: Stylized facts for Austria and Germany," Review of World Economics (Weltwirtschaftliches Archiv), Springer, vol. 128(1), pages 67-87, March.
  3. Baxter, Marianne, 1994. "Real exchange rates and real interest differentials: Have we missed the business-cycle relationship?," Journal of Monetary Economics, Elsevier, vol. 33(1), pages 5-37, February.
  4. Danthine, J.P. & Donaldson, J.B., 1991. "Methodological and Empirical Issues in Real Business Cycle Theory," Papers fb-_91-11, Columbia - Graduate School of Business.
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  7. Canova, Fabio, 1993. "Detrending and Business Cycle Facts," CEPR Discussion Papers 782, C.E.P.R. Discussion Papers.
  8. David K. Backus & Patrick J. Kehoe, 1991. "International evidence on the historical properties of business cycles," Staff Report 145, Federal Reserve Bank of Minneapolis.
  9. Lawrence J. Christiano & Terry J. Fitzgerald, 1999. "The Band pass filter," Working Paper 9906, Federal Reserve Bank of Cleveland.
    • Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, 05.
  10. Backus, David K & Kehoe, Patrick J & Kydland, Finn E, 1992. "International Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 745-75, August.
  11. Canova, Fabio, 1994. "Detrending and turning points," European Economic Review, Elsevier, vol. 38(3-4), pages 614-623, April.
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  13. Ravn, Morten O. & Uhlig, Harald, 2001. "On Adjusting the HP-Filter for the Frequency of Observations," CEPR Discussion Papers 2858, C.E.P.R. Discussion Papers.
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  18. Sichel, D.E., 1988. "Business Cycle Asymmetry: A Deeper Look," Papers 85, Princeton, Department of Economics - Financial Research Center.
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  22. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
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  25. Danthine, Jean-Pierre & Girardin, Michel, 1989. "Business cycles in Switzerland : A comparative study," European Economic Review, Elsevier, vol. 33(1), pages 31-50, January.
  26. Martin Neil Baily, 1978. "Stabilization Policy and Private Economic Behavior," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 9(1), pages 11-60.
  27. Ravn, Morten O. & Sola, Martin, 1995. "Stylized facts and regime changes: Are prices procyclical?," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 497-526, December.
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