IDEAS home Printed from https://ideas.repec.org/p/ecb/ecbwps/2005499.html
   My bibliography  Save this paper

A trend-cycle(-season) filter

Author

Listed:
  • Mohr, Matthias

Abstract

This paper proposes a new univariate method to decompose a time series into a trend, a cyclical and a seasonal component: the Trend-Cycle filter (TC filter) and its extension, the Trend-Cycle-Season filter (TCS filter). They can be regarded as extensions of the Hodrick-Prescott filter (HP filter). In particular, the stochastic model of the HP filter is extended by explicit models for the cyclical and the seasonal component. The introduction of a stochastic cycle improves the filter in three respects: first, trend and cyclical components are more consistent with the underlying theoretical model of the filter. Second, the end-of sample reliability of the trend estimates and the cyclical component is improved compared to the HP filter since the pro-cyclical bias in end-of-sample trend estimates is virtually removed. Finally, structural breaks in the original time series can be easily accounted for. JEL Classification: C13, C22, E32

Suggested Citation

  • Mohr, Matthias, 2005. "A trend-cycle(-season) filter," Working Paper Series 499, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:2005499
    as

    Download full text from publisher

    File URL: https://www.ecb.europa.eu/pub/pdf/scpwps/ecbwp499.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Cécile Denis & Kieran Mc Morrow & Werner Röger, 2002. "Production function approach to calculating potential growth and output gaps - estimates for the EU Member States and the US," European Economy - Economic Papers 2008 - 2015 176, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    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. Bouthevillain, C. & Van Den Dool, G. & Langenus, G. & Mohr, M. & Momigliano, S. & Tujula, M. & De Cos, P.H. & Cour-Thimann, Philippine, 2001. "Cyclically Adjusted Budget Balances: an Alternative Approach," Papers 77, Quebec a Montreal - Recherche en gestion.
    4. David Gruen & Tim Robinson & Andrew Stone, 2002. "Output Gaps in Real Time: Are They Reliable Enough to Use for Monetary Policy?," RBA Research Discussion Papers rdp2002-06, Reserve Bank of Australia.
    5. 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.
    6. Döpke, Jörg, 2004. "Real-time data and business cycle analysis in Germany," Discussion Paper Series 1: Economic Studies 2004,11, Deutsche Bundesbank.
    7. 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.
    8. Chantal Dupasquier & Alain Guay & Pierre St-Amant, 1997. "A Comparison of Alternative Methodologies for Estimating Potential Output and the Output Gap," Staff Working Papers 97-5, Bank of Canada.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Comunale, Mariarosaria, 2017. "Dutch disease, real effective exchange rate misalignments and their effect on GDP growth in EU," Journal of International Money and Finance, Elsevier, vol. 73(PB), pages 350-370.
    2. Destefanis, Sergio & Mastromatteo, Giuseppe, 2012. "Assessing the reassessment: A panel analysis of the Lisbon Strategy," Economics Letters, Elsevier, vol. 115(2), pages 148-151.
    3. Anusha, "undated". "Evaluating reliability of some symmetric and asymmetric univariate filters," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2015-030, Indira Gandhi Institute of Development Research, Mumbai, India.
    4. William Gatt & Owen Grech, "undated". "An assessment of the Maltese housing market," CBM Policy Papers PP/02/2016, Central Bank of Malta.

    More about this item

    Keywords

    economic cycles; filtering; seasonality; time series; trend-cycle decomposition;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • 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:ecb:ecbwps:2005499. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Official Publications). General contact details of provider: http://edirc.repec.org/data/emieude.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.