The Band Pass Filter

Lawrence Christiano and Terry Fitzgerald

International Economic Review, 2003, vol. 44, issue 2, 435-465

Abstract: We develop optimal finite-sample approximations for the band pass filter. These approximations include one-sided filters that can be used in real time. Optimal approximations depend upon the details of the time series representation that generates the data. Fortunately, for U.S. macroeconomic data, getting the details exactly right is not crucial. A simple approach, based on the generally false assumption that the data are generated by a random walk, is nearly optimal. We use the tools discussed here to document a new fact: There has been a significant shift in the money-inflation relationship before and after 1960. Copyright 2003 By The Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.

Date: 2003
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Working Paper: The Band pass filter (1999)
Working Paper: The Band Pass Filter (1999)
Software Item: CFFILTER: RATS procedure to perform band pass filter using Christiano-Fitzgerald method
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