Title
Local Projections vs. VARs: Lessons From Thousands of DGPs
Author(s)
Dake Li Dake Li (Princeton University)
Mikkel Plagborg-Møller Mikkel Plagborg-Møller (Princeton University)
Christian K. Wolf Christian Wolf (University of Chicago)
Abstract
We conduct a simulation study of Local Projection (LP) and Vector Autoregression (VAR) estimators of structural impulse responses across thousands of data generating processes (DGPs), designed to mimic the properties of the universe of U.S. macroeconomic data. Our analysis considers various structural identification schemes and several variants of LP and VAR estimators, and we pay particular attention to the role of the researcher’s loss function. A clear bias-variance trade-off emerges: Because our DGPs are not exactly finite-order VAR models, LPs have lower bias than VAR estimators; however, the variance of LPs is substantially higher than that of VARs at intermediate or long horizons. Unless researchers are overwhelmingly concerned with bias, shrinkage via Bayesian VARs or penalized LPs is attractive.
Creation Date
2021-03
Section URL ID
Paper Number
2021-55
URL
https://scholar.princeton.edu/sites/default/files/lp_var_simul.pdf
File Function
Jel
C32, C36
Keyword(s)
external instrument, impulse response function, local projection, proxy variable, structural vector autoregression
Suppress
false
Series
13