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Measuring Business Cycles Approximate Band-Pass Filters for Economic Time Series

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Author Info
Marianne Baxter
Robert G. King

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Abstract

This paper develops a set of approximate band-pass filters designed for use in a wide range of economic applications. In particular, we design and implement a specific band-pass filter which isolates business-cycle fluctuations in macroeconomic time series. This filter was designed to isolate fluctuations in the data which persist for periods of two through eight years. This filter also 'detrends' the data, in the sense that it will render stationary time series that are integrated of order two or less, or that contain deterministic time trends. We apply our filter to several of the key macroeconomic time series, and describe the picture of the U.S. postwar business cycle that emerges from our analysis. We also provide detailed comparisons with several alternative detrending methods.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 5022.

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Date of creation: Feb 1995
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Publication status: published as Baxter, Marianne and Robert G. King. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," Review of Economics and Statistics, 1999, v81(4,Nov), 575-593.
Handle: RePEc:nbr:nberwo:5022

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Find related papers by JEL classification:
C82 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Macroeconomic Data
E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation

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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.:
  1. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 9-22. [Downloadable!]
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  2. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March. [Downloadable!] (restricted)
  3. Mark Rush, 1987. "Real business cycles," Economic Review, Federal Reserve Bank of Kansas City, issue Feb, pages 20-32. [Downloadable!]
  4. King, Robert G. & Plosser, Charles I., 1994. "Real business cycles and the test of the Adelmans," Journal of Monetary Economics, Elsevier, vol. 33(2), pages 405-438, April. [Downloadable!] (restricted)
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  5. 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. [Downloadable!] (restricted)
  6. Canova, Fabio, 1993. "Detrending and Business Cycle Facts," CEPR Discussion Papers 782, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  7. 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. [Downloadable!]
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