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Differences From Differencing

Should Local Projections With Observed Shocks Be Estimated in Levels or Differences

Bibliographic Data

ID21653249
AuthorsJeremy Piger (0000-0001-6592-9986, Department of Economics University of Oregon Eugene Oregon USA, corresponding author), Thomas Stockwell (Department of Economics, Sykes College of Business University of Tampa Tampa Florida USA)
Year2025
Volume40
Issue7
Pages759-787
Publication date2025-11-01
Open AccessYes
TypeARTICLE
VenueJournal of Applied Econometrics (JOURNAL)
Journal identifiersISSN: 1099-1255 • E-ISSN: 0883-7252
PublisherWiley (PUBLISHER • GB)
DOI10.1002/jae.70003
OpenAlexW4412822615
LanguageEN
Citations received1
References cited31

We show there are large finite‐sample estimation improvements from estimating local projections (LP) in a cumulated differences (long‐differenced) specification vs. a specification in levels when the impulse response of interest is to an externally identified (“observed”) shock. The long‐differenced specification substantially reduces, and in many cases eliminates, estimation bias, as well as significantly improves confidence interval coverage. These improvements increase for more persistent processes, at longer horizons, and for smaller sample sizes and extend to the instrumental variable LP (LP‐IV) setting where the observed shock is an instrument for an endogenous variable of interest. We demonstrate these results via simulations as well as illustrative analytic results

Econometrics · Economics · Statistics · Environmental Science · Forecasting Techniques and Applications · Market Dynamics and Volatility · Mathematics · Monetary Policy and Economic Impact

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Citations per year1
Citation span2026 - 2026 (1)
Highly citedNo

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