IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/2858.html
   My bibliography  Save this paper

On Adjusting the HP-Filter for the Frequency of Observations

Author

Listed:
  • Ravn, Morten
  • Uhlig, Harald

Abstract

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 observation 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.

Suggested Citation

  • Ravn, Morten & Uhlig, Harald, 2001. "On Adjusting the HP-Filter for the Frequency of Observations," CEPR Discussion Papers 2858, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:2858
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP2858
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at [email protected]
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Christiano, Lawrence J. & Eichenbaum, Martin, 1987. "Temporal aggregation and structural inference in macroeconomics," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 26(1), pages 63-130, January.
    2. Danthine, Jean-Pierre & Girardin, Michel, 1989. "Business cycles in Switzerland : A comparative study," European Economic Review, Elsevier, vol. 33(1), pages 31-50, January.
    3. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    4. 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.
    5. Canova, Fabio, 1998. "Detrending and business cycle facts," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 475-512, May.
    6. 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.
    7. 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.
    8. Correia, Isabel H. & Neves, Joao L. & Rebelo, Sergio, 1992. "Business cycles from 1850 to 1950 : New facts about old data," European Economic Review, Elsevier, vol. 36(2-3), pages 459-467, April.
    9. Backus, David K & Kehoe, Patrick J, 1992. "International Evidence of the Historical Properties of Business Cycles," American Economic Review, American Economic Association, vol. 82(4), pages 864-888, September.
    10. 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 733-748, September.
    11. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    12. repec:bla:econom:v:59:y:1992:i:236:p:383-401 is not listed on IDEAS
    13. 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 231-247, July-Sept.
    14. 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.
    15. Cooley, Thomas F. & Ohanian, Lee E., 1991. "The cyclical behavior of prices," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 25-60, August.
    16. 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, May.
    17. Canova, Fabio, 1994. "Detrending and turning points," European Economic Review, Elsevier, vol. 38(3-4), pages 614-623, April.
    18. Rotemberg, Julio J & Woodford, Michael, 1996. "Real-Business-Cycle Models and the Forecastable Movements in Output, Hours, and Consumption," American Economic Review, American Economic Association, vol. 86(1), pages 71-89, March.
    19. Pierre Danthine, Jean & Donaldson, John B., 1993. "Methodological and empirical issues in real business cycle theory," European Economic Review, Elsevier, vol. 37(1), pages 1-35, January.
    20. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
    21. 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 745-775, August.
    22. 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.
    23. King, Robert G. & Rebelo, Sergio T., 1993. "Low frequency filtering and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 207-231.
    24. 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.
    25. 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.
    26. Deaton, Angus, 1992. "Understanding Consumption," OUP Catalogue, Oxford University Press, number 9780198288244.
    27. Fiorito, Riccardo & Kollintzas, Tryphon, 1994. "Stylized facts of business cycles in the G7 from a real business cycles perspective," European Economic Review, Elsevier, vol. 38(2), pages 235-269, February.
    28. Finn E. Kydland & Edward C. Prescott, 1990. "Business cycles: real facts and a monetary myth," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 14(Spr), pages 3-18.
    29. 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.
    30. Soderlind, Paul, 1994. "Cyclical Properties of a Real Business Cycle Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(S), pages 113-122, Suppl. De.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tawadros, George B., 2011. "The stylised facts of Australia's business cycle," Economic Modelling, Elsevier, vol. 28(1), pages 549-556.
    2. Michaelides, Panayotis G. & Papageorgiou, Theofanis, 2012. "On the transmission of economic fluctuations from the USA to EU-15 (1960–2011)," Journal of Economics and Business, Elsevier, vol. 64(6), pages 427-438.
    3. Michaelides, Panayotis G. & Papageorgiou, Theofanis & Vouldis, Angelos T., 2013. "Business cycles and economic crisis in Greece (1960–2011): A long run equilibrium analysis in the Eurozone," Economic Modelling, Elsevier, vol. 31(C), pages 804-816.
    4. Korap, Levent, 2010. "A small scaled business-cycle analysis of the Turkish economy: some counter-cyclical evidence using new income series," MPRA Paper 28647, University Library of Munich, Germany.
    5. Levent, Korap, 2006. "An essay upon the business cycle facts: the Turkish case," MPRA Paper 21717, University Library of Munich, Germany.
    6. Angelos VOULDIS & Panayotis MICHAELIDES & John MILIOS, 2008. "Do Technology Shocks affect Output and Profitability over the Business Cycle in Greece (1960-2008)?," EcoMod2008 23800152, EcoMod.
    7. Schlitzer, Giuseppe, 1996. "Business cycles in Italy: A statistical investigation," European Journal of Political Economy, Elsevier, vol. 11(4), pages 683-698, April.
    8. Royuela, Vicente, 2000. "International Real Business Cycles: Can A Two Countries Two Sectors Model Solve The Quantity Anomaly?," ERSA conference papers ersa00p203, European Regional Science Association.
    9. Luis Eduardo Arango & Mauricio castillo, 1999. "¿ Son Estilizadas las Regularidades del Ciclo Económico? Una Breve Revisión de la literatura," Borradores de Economia 115, Banco de la Republica de Colombia.
    10. Papageorgiou, Theofanis & Michaelides, Panayotis G. & Milios, John G., 2010. "Business cycles synchronization and clustering in Europe (1960-2009)," Journal of Economics and Business, Elsevier, vol. 62(5), pages 419-470, September.
    11. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007, Elsevier.
    12. Canova, Fabio, 1998. "Detrending and business cycle facts," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 475-512, May.
    13. J. J. Reeves & C. A. Blyth & C. M. Triggs & J. P. Small, "undated". "The Hodrick-Prescott Filter, a Generalisation, and a New Procedure for Extracting an Empirical Cycle from a Series," Reports 9602, University of Auckland, Department of Economics.
    14. Papageorgiou, Theofanis & Michaelides, Panayotis G. & Milios, John, 2009. "Economic Fluctuations, Cyclical Regularities and Technological Change: The U.S. Food Sector (1958–2006)," MPRA Paper 67115, University Library of Munich, Germany.
    15. P J Pérez, 2001. "Cyclical Properties in the Main Western Economies," Centre for Growth and Business Cycle Research Discussion Paper Series 33, Economics, The University of Manchester.
    16. Anelí Bongers & José L. Torres & Jesús Rodríguez, 2010. "Caracterización del ciclo económico en Andalucía 1980 - 2008," Economic Working Papers at Centro de Estudios Andaluces E2010/08, Centro de Estudios Andaluces.
    17. Ioanna Konstantakopoulou & Eftymios Tsionas & Tryphon Kollintzas, 2009. "Stylized Facts of Prices and Interest Rates over the Business Cycle," Economics Bulletin, AccessEcon, vol. 29(4), pages 2613-2627.
    18. Albert Marcet & Morte O. Ravn, "undated". "The HP-Filter in Cross-Country Comparisons," Studies on the Spanish Economy 100, FEDEA.
    19. Christian Zimmermann, 1995. "International Trade over the Business Cycle: Stylized Facts and Remaining Puzzles," Cahiers de recherche CREFE / CREFE Working Papers 37, CREFE, Université du Québec à Montréal, revised Aug 1997.
    20. Theofanis Papageorgiou & Panayotis G. Michaelides & John G. Milios, 2011. "Technology and economic fluctuations in the US food sector (1958‐2006)," International Journal of Social Economics, Emerald Group Publishing Limited, vol. 38(2), pages 140-164, January.

    More about this item

    Keywords

    Business cycles; Trends; Hp-filter; Temporal aggregation; Historical business cycle properties;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:2858. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.