Local Projections or VARs? A Primer for Macroeconomists

Fuente: arXiv
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Autores principales: Olea, José Luis Montiel, Plagborg-Møller, Mikkel, Qian, Eric, Wolf, Christian K.
Formato: Preprint
Publicado: 2025
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author Olea, José Luis Montiel
Plagborg-Møller, Mikkel
Qian, Eric
Wolf, Christian K.
author_facet Olea, José Luis Montiel
Plagborg-Møller, Mikkel
Qian, Eric
Wolf, Christian K.
contents What should applied macroeconomists know about local projection (LP) and vector autoregression (VAR) impulse response estimators? The two methods share the same estimand, but in finite samples lie on opposite ends of a bias-variance trade-off. While the low bias of LPs comes at a quite steep variance cost, this cost must be paid to achieve robust uncertainty assessments. Hence, when the goal is to convey what can be learned about dynamic causal effects from the data, VARs should only be used with long lag lengths, ensuring equivalence with LP. For LP estimation, we provide guidance on selection of lag length and controls, bias correction, and confidence interval construction.
format Preprint
id arxiv_https___arxiv_org_abs_2503_17144
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Local Projections or VARs? A Primer for Macroeconomists
Olea, José Luis Montiel
Plagborg-Møller, Mikkel
Qian, Eric
Wolf, Christian K.
Econometrics
What should applied macroeconomists know about local projection (LP) and vector autoregression (VAR) impulse response estimators? The two methods share the same estimand, but in finite samples lie on opposite ends of a bias-variance trade-off. While the low bias of LPs comes at a quite steep variance cost, this cost must be paid to achieve robust uncertainty assessments. Hence, when the goal is to convey what can be learned about dynamic causal effects from the data, VARs should only be used with long lag lengths, ensuring equivalence with LP. For LP estimation, we provide guidance on selection of lag length and controls, bias correction, and confidence interval construction.
title Local Projections or VARs? A Primer for Macroeconomists
topic Econometrics
url https://arxiv.org/abs/2503.17144