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
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- 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.
- 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.
- Grüner, Hans Peter & Hayo, Bernd & Hefeker, Carsten, 2005. "Unions, wage setting and monetary policy uncertainty," Working Paper Series 0490, European Central Bank.
- Kolasa, Marcin, 2005. "What drives productivity growth in the new EU member states? The case of Poland," Working Paper Series 0486, European Central Bank.
- 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, 2009. "Monetary Policy Analysis with Potentially Misspecified Models," American Economic Review, American Economic Association, vol. 99(4), pages 1415-50, September.
- Marco Del Negro & Frank Schorfheide, 2005. "Monetary policy analysis with potentially misspecified models," FRB Atlanta Working Paper No. 2005-26, Federal Reserve Bank of Atlanta.
- 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, 2008. "Monetary policy analysis with potentially misspecified models," Staff Reports 321, Federal Reserve Bank of New York.
- Marco Del Negro & Frank Schorfheide, 2005. "Monetary policy analysis with potentially misspecified models," Working Papers 06-4, Federal Reserve Bank of Philadelphia.
- 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.
- Döpke, Jörg, 2004. "Real-time data and business cycle analysis in Germany," Discussion Paper Series 1: Economic Studies 2004,11, Deutsche Bundesbank, Research Centre.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Danthine, Jean-Pierre & Girardin, Michel, 1989. "Business cycles in Switzerland : A comparative study," European Economic Review, Elsevier, vol. 33(1), pages 31-50, January.
- Chantal Dupasquier & Alain Guay & Pierre St-Amant, 1997. "A Comparison of Alternative Methodologies for Estimating Potential Output and the Output Gap," Working Papers 97-5, Bank of Canada.
- C�cile Denis & Kieran Mc Morrow & Werner R�ger, 2002. "Production function approach to calculating potential growth and output gaps - estimates for the EU Member States and the US," European Economy - Economic Papers 176, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
- 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, . "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 231-47, July-Sept.
- Ehrmann, Michael & Fratzscher, Marcel, 2005. "Communication and decision-making by central bank committees: different strategies, same effectiveness?," Working Paper Series 0488, European Central Bank.
- 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.
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