Local Projection Inference Is Simpler and More Robust Than You Think

S-Tier
Journal: Econometrica
Year: 2021
Volume: 89
Issue: 4
Pages: 1789-1823

Authors (2)

José Luis Montiel Olea (not in RePEc) Mikkel Plagborg‐Møller (not in RePEc)

Score contribution per author:

4.022 = (α=2.01 / 2 authors) × 4.0x S-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Applied macroeconomists often compute confidence intervals for impulse responses using local projections, that is, direct linear regressions of future outcomes on current covariates. This paper proves that local projection inference robustly handles two issues that commonly arise in applications: highly persistent data and the estimation of impulse responses at long horizons. We consider local projections that control for lags of the variables in the regression. We show that lag‐augmented local projections with normal critical values are asymptotically valid uniformly over (i) both stationary and non‐stationary data, and also over (ii) a wide range of response horizons. Moreover, lag augmentation obviates the need to correct standard errors for serial correlation in the regression residuals. Hence, local projection inference is arguably both simpler than previously thought and more robust than standard autoregressive inference, whose validity is known to depend sensitively on the persistence of the data and on the length of the horizon.

Technical Details

RePEc Handle
repec:wly:emetrp:v:89:y:2021:i:4:p:1789-1823
Journal Field
General
Author Count
2
Added to Database
2026-01-29