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On Adjusting the HP-Filter for the Frequency of Observations

  • Morten O. Ravn
  • Harald Uhlig

This paper studies how the HP-Filter should be adjusted, when changing the frequency of observations. It complements the results of Baxter and King (1999) with an analytical analysis, demonstrating that the filter parameter should be adjusted by multiplying it with the fourth power of the observations frequency ratios. This yields an HP parameter value of 6.25 for annual data given a value of 1600 for quarterly data. The relevance of the suggestion is illustrated empirically.

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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 479.

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Date of creation: 2001
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Handle: RePEc:ces:ceswps:_479
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  1. Fiorito, Riccardo & Kollintzas, Tryphon, 1992. "Stylized Facts of Business Cycles in the G7 from a Real Business Cycles Perspective," CEPR Discussion Papers 681, C.E.P.R. Discussion Papers.
  2. David K. Backus & Patrick J. Kehoe, 1991. "International evidence on the historical properties of business cycles," Staff Report 145, Federal Reserve Bank of Minneapolis.
  3. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  4. Lawrence J. Christiano & Terry J. Fitzgerald, 1999. "The Band Pass Filter," NBER Working Papers 7257, National Bureau of Economic Research, Inc.
    • 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.
  5. Lawrence J. Christiano & Martin Eichenbaum, 1987. "Temporal aggregation and structural inference in macroeconomics," Working Papers 306, Federal Reserve Bank of Minneapolis.
  6. 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.
  7. Marianne Baxter & Robert G. King, 1999. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 575-593, November.
  8. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
  9. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-48, September.
  10. Canova, Fabio, 1994. "Detrending and turning points," European Economic Review, Elsevier, vol. 38(3-4), pages 614-623, April.
  11. Peter Brandner & Klaus Neusser, 1992. "Business cycles in open economies: Stylized facts for Austria and Germany," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 128(1), pages 67-87, March.
  12. 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.
  13. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  14. John Hassler & Petter Lundvik & Torsten Persson & Paul Soderlind, 1992. "The Swedish business cycle: stylized facts over 130 years," Discussion Paper / Institute for Empirical Macroeconomics 63, Federal Reserve Bank of Minneapolis.
  15. Uhlig, H.F.H.V.S. & Ravn, M., 1997. "On Adjusting the H-P Filter for the Frequency of Observations," Discussion Paper 1997-50, Tilburg University, Center for Economic Research.
  16. Cooley, T.F. & Ohanian, L.E., 1989. "The Cyclical Behavior Of Prices," RCER Working Papers 188, University of Rochester - Center for Economic Research (RCER).
  17. David K. Backus & Patrick J. Kehoe & Finn E. Kydland, 1991. "International real business cycles," Staff Report 146, Federal Reserve Bank of Minneapolis.
  18. 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.
  19. Canova, Fabio, 1993. "Detrending and Business Cycle Facts," CEPR Discussion Papers 782, C.E.P.R. Discussion Papers.
  20. King, R.G. & Rebelo, S.T., 1989. "Low Frequency Filtering And Real Business Cycles," RCER Working Papers 205, University of Rochester - Center for Economic Research (RCER).
  21. 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.
  22. Cogley, Timothy & Nason, James M., 1995. "Effects of the Hodrick-Prescott filter on trend and difference stationary time series Implications for business cycle research," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 253-278.
  23. Finn E. Kydland & Edward C. Prescott, 1990. "Business cycles: real facts and a monetary myth," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Spr, pages 3-18.
  24. Deaton, Angus, 1992. "Understanding Consumption," OUP Catalogue, Oxford University Press, number 9780198288244, December.
  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. Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-47, July-Sept.
  27. Blackburn, Keith & Ravn, Morten O, 1992. "Business Cycles in the United Kingdom: Facts and Fictions," Economica, London School of Economics and Political Science, vol. 59(236), pages 383-401, November.
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