A trend-cycle(-season) filter
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
|Date of creation:||Jul 2005|
|Contact details of provider:|| Postal: 60640 Frankfurt am Main, Germany|
Phone: +49 69 1344 0
Fax: +49 69 1344 6000
Web page: http://www.ecb.europa.eu/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- Marianne Baxter & Robert G. King, 1995. "Measuring Business Cycles Approximate Band-Pass Filters for Economic Time Series," NBER Working Papers 5022, National Bureau of Economic Research, Inc.
- Tom Doan, "undated". "BKFILTER: RATS procedure to implement band pass filter using Baxter-King method," Statistical Software Components RTS00026, Boston College Department of Economics.
- 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.
- Lombardo, Giovanni & Sutherland, Alan, 2005.
"Computing second-order-accurate solutions for rational expectation models using linear solution methods,"
Working Paper Series
0487, European Central Bank.
- Lombardo, Giovanni & Sutherland, Alan, 2007. "Computing second-order-accurate solutions for rational expectation models using linear solution methods," Journal of Economic Dynamics and Control, Elsevier, vol. 31(2), pages 515-530, February.
- Giovanni Lombardo & Alan Sutherland, 2005. " Computing Second-Order-Accurate Solutions for Rational Expectation Models Using Linear Solution Methods," CDMA Conference Paper Series 0504, Centre for Dynamic Macroeconomic Analysis.
- Cogley, Timothy & Sargent, Thomas J., 2005.
"The conquest of U.S. inflation: learning and robustness to model uncertainty,"
Working Paper Series
0478, European Central Bank.
- Timothy Cogley & Thomas J. Sargent, 2005. "The conquest of US inflation: Learning and robustness to model uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 528-563, April.
- Grüner, Hans Peter & Hayo, Bernd & Hefeker, Carsten, 2005.
"Unions, wage setting and monetary policy uncertainty,"
Working Paper Series
0490, European Central Bank.
- Gruener Hans Peter & Hayo Bernd & Hefeker Carsten, 2009. "Unions, Wage Setting and Monetary Policy Uncertainty," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-25, October.
- 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.
- Kolasa, Marcin, 2005. "What drives productivity growth in the new EU member states? The case of Poland," Working Paper Series 0486, European Central Bank.
- 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.
- Marco Del Negro & Frank Schorfheide, 2007.
"Monetary Policy Analysis with Potentially Misspecified Models,"
NBER Working Papers
13099, National Bureau of Economic Research, Inc.
- Marco Del Negro & Frank Schorfheide, 2009. "Monetary Policy Analysis with Potentially Misspecified Models," American Economic Review, American Economic Association, vol. 99(4), pages 1415-1450, September.
- Marco Del Negro & Frank Schorfheide, 2008. "Monetary policy analysis with potentially misspecified models," Staff Reports 321, Federal Reserve Bank of New York.
- Del Negro, Marco & Schorfheide, Frank, 2005. "Monetary policy analysis with potentially misspecified models," Working Paper Series 0475, European Central Bank.
- Marco Del Negro & Frank Schorfheide, 2005. "Monetary policy analysis with potentially misspecified models," FRB Atlanta Working Paper 2005-26, Federal Reserve Bank of Atlanta.
- Marco Del Negro & Frank Schorfheide, 2005. "Monetary policy analysis with potentially misspecified models," Working Papers 06-4, Federal Reserve Bank of Philadelphia.
- Michael Ehrmann & Marcel Fratzscher, 2007. "Communication by Central Bank Committee Members: Different Strategies, Same Effectiveness?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 509-541, 03.
- 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.
- Danthine, Jean-Pierre & Girardin, Michel, 1989. "Business cycles in Switzerland : A comparative study," European Economic Review, Elsevier, vol. 33(1), pages 31-50, January.
- Pete Richardson & Laurence Boone & Claude Giorno & Mara Meacci & David Rae & David Turner, 2000. "The Concept, Policy Use and Measurement of Structural Unemployment: Estimating a Time Varying NAIRU Across 21 OECD Countries," OECD Economics Department Working Papers 250, OECD Publishing.
- Banerjee, Anindya & Marcellino, Massimiliano & Masten, Igor, 2005. "Forecasting macroeconomic variables for the new member states of the European Union," Working Paper Series 0482, European Central Bank.
- Timothy Cogley & James M. Nason, 1993.
"Effects of the Hodrick-Prescott filter on trend and difference stationary time series: implications for business cycle research,"
Working Papers in Applied Economic Theory
93-01, Federal Reserve Bank of San Francisco.
- 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.
- 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,"
77, Quebec a Montreal - Recherche en gestion.
- Bouthevillain, Carine & Cour-Thimann, Philippine & van de Dool, Gerrit & Hernández de Cos, Pablo & Langenus, Geert & Mohr, Matthias & Momigliano, Sandro & Tujula, Mika, 2001. "Cyclically adjusted budget balances: an alternative approach," Working Paper Series 0077, European Central Bank.
- Döpke, Jörg, 2004. "Real-time data and business cycle analysis in Germany," Discussion Paper Series 1: Economic Studies 2004,11, Deutsche Bundesbank, Research Centre.
- Ehrmann, Michael & Fratzscher, Marcel, 2005. "Communication and decision-making by central bank committees: different strategies, same effectiveness?," Working Paper Series 0488, European Central Bank.
- De Grauwe, Paul & Mongelli, Francesco Paolo, 2005.
"Endogeneities of optimum currency areas: what brings countries sharing a single currency closer together?,"
Working Paper Series
0468, European Central Bank.
- Paul de Grauwe & Francesco Paolo Mongelli, 2005. "Endogeneities of Optimum Currency Areas: What brings Countries Sharing a Single Currency Closer together?," Working Papers de Economia (Economics Working Papers) 29, Departamento de Economia, Gestão e Engenharia Industrial, Universidade de Aveiro.
When requesting a correction, please mention this item's handle: RePEc:ecb:ecbwps:20050499. 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)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 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.