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Published in: Empirical Economics 1/2020

29-01-2019

Real-time US GDP gap properties using Hamilton’s regression-based filter

Author: Kristian Jönsson

Published in: Empirical Economics | Issue 1/2020

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Abstract

It has been previously documented that the Hodrick–Prescott (HP) filter exhibits real-time instability such that the estimates of trend and cycle components from an aggregate time series are revised both as more data become available and previously available data are revised. An alternative to the HP filter has recently been suggested by Hamilton (Rev Econ Stat 100(5):831–843, 2018). The current article investigates and compares the HP and the Hamilton filters with respect to real-time stability in US GDP gap estimation. The results reveal that the Hamilton filter outperforms the HP filter when it comes to real-time revisions. The source of the inferior performance of the HP filter is found to be the fact that component estimates close to the end of the sample are revised to a large extent for the HP filter even when only a few more data points are added to the sample.

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Footnotes
1
For explicit formulas for the weights, see Cornea-Madeira (2017).
 
3
The vintages include data ending 1965Q3–2018Q2, which in practice that means that the series are published during the quarters 1965Q4–2018Q3. In this article, the last available quarterly observation is used to denote the vintage.
 
4
These different gaps are discussed in, e.g., Orphanides and van Norden (2002).
 
5
See, e.g., Orphanides and van Norden (2002), Cayen and van Norden (2005) and Marcellino and Musso (2011) for a discussion of these measures.
 
6
Here, it can be noted that using the 2-year difference can eliminate the filter-induced revisions altogether. The correlation between the 2-year difference of the last vintage of the series and the final gap estimate from the Hamilton filter is 0.95. The corresponding correlation when using the 2-year difference based on real-time vintages of data is 0.93.
 
Literature
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Metadata
Title
Real-time US GDP gap properties using Hamilton’s regression-based filter
Author
Kristian Jönsson
Publication date
29-01-2019
Publisher
Springer Berlin Heidelberg
Published in
Empirical Economics / Issue 1/2020
Print ISSN: 0377-7332
Electronic ISSN: 1435-8921
DOI
https://doi.org/10.1007/s00181-019-01631-6

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