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

H.F.H.V.S. Uhlig, M. Ravn

Research output: Working paperDiscussion paperOther research output

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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.
Original languageEnglish
Place of PublicationTilburg
PublisherMacroeconomics
Number of pages26
Volume1997-50
Publication statusPublished - 1997

Publication series

NameCentER Discussion Paper
Volume1997-50

Fingerprint

HP filter
Output volatility
Business cycles
Smoothing
Wisdom
Filter

Keywords

  • HP-Filter
  • frequency of observation
  • real business cycles
  • output volatility
  • pre-war business cycles

Cite this

Uhlig, H. F. H. V. S., & Ravn, M. (1997). On Adjusting the H-P Filter for the Frequency of Observations. (CentER Discussion Paper; Vol. 1997-50). Tilburg: Macroeconomics.
Uhlig, H.F.H.V.S. ; Ravn, M. / On Adjusting the H-P Filter for the Frequency of Observations. Tilburg : Macroeconomics, 1997. (CentER Discussion Paper).
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Uhlig, HFHVS & Ravn, M 1997 'On Adjusting the H-P Filter for the Frequency of Observations' CentER Discussion Paper, vol. 1997-50, Macroeconomics, Tilburg.

On Adjusting the H-P Filter for the Frequency of Observations. / Uhlig, H.F.H.V.S.; Ravn, M.

Tilburg : Macroeconomics, 1997. (CentER Discussion Paper; Vol. 1997-50).

Research output: Working paperDiscussion paperOther research output

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N1 - Pagination: 26

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N2 - 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.

AB - 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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Uhlig HFHVS, Ravn M. On Adjusting the H-P Filter for the Frequency of Observations. Tilburg: Macroeconomics. 1997. (CentER Discussion Paper).