How to Estimate a VAR After March 2020

Working Paper: NBER ID: w27771

Authors: Michele Lenza; Giorgio E. Primiceri

Abstract: This paper illustrates how to handle a sequence of extreme observations—such as those recorded during the COVID-19 pandemic—when estimating a Vector Autoregression, which is the most popular time-series model in macroeconomics. Our results show that the ad-hoc strategy of dropping these observations may be acceptable for the purpose of parameter estimation. However, disregarding these recent data is inappropriate for forecasting the future evolution of the economy, because it vastly underestimates uncertainty.

Keywords: VAR; COVID-19; macroeconomics; shock volatility

JEL Codes: C11; C32; E32; E37


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Extreme observations during the COVID-19 pandemic (C46)Estimation of VAR parameters (C51)
Treating extreme observations as conventional data (C55)Misleading results in VAR estimation (C32)
Excluding pandemic data entirely (C80)Preferable to including it without adjustments (Y20)
Proposed method with scaling factor for volatility (C58)Impulse responses similar to pre-pandemic data (E32)
Methodology capturing increased uncertainty (C59)Critical for forecasting during pandemic (C53)

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