2022
DOI: 10.1002/jae.2895
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How to estimate a vector autoregression after March 2020

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.

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Cited by 138 publications
(92 citation statements)
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References 37 publications
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“…14 We also test for information deficiency in the VAR following Forni and Gambetti (2014) and find no significant concern. 15 Last, we replicated the results on a sample excluding the COVID-19 pandemic (Lenza and Primiceri, 2020), and we find the same qualitative results, with a somewhat weaker and less persistent response of industrial production.…”
Section: Asymmetric Responses In Stress and Non-stress Periodssupporting
confidence: 59%
See 1 more Smart Citation
“…14 We also test for information deficiency in the VAR following Forni and Gambetti (2014) and find no significant concern. 15 Last, we replicated the results on a sample excluding the COVID-19 pandemic (Lenza and Primiceri, 2020), and we find the same qualitative results, with a somewhat weaker and less persistent response of industrial production.…”
Section: Asymmetric Responses In Stress and Non-stress Periodssupporting
confidence: 59%
“…The non-linear nature of the model partly takes into account the abrupt changes in macroeconomic and financial variables during the pandemic, so our results do not change when we end our sample at the end of 2019 before the start of the pandemic. Thus we are less subject to the critique of Lenza and Primiceri (2020) who argue that VAR models should not include the pandemic in the estimation period.…”
Section: Modelling the Nonlinearitiesmentioning
confidence: 99%
“…In particular, the fluctuations in macroeconomic variables are large enough to materially change the estimates of forecasting models, such as our VAR in equation ( 5). Lenza and Primiceri (2021), Schorfheide and Song (2020), and Carriero et al (2021) provide further discussion. To handle the COVID-19 pandemic in our forecasting models, we change the VAR in equation ( 5) to be…”
Section: Results For 2020 and 2021mentioning
confidence: 98%
“…In essence, the extreme data in the first half of 2020 caused estimates of the full sample MF-VAR coefficients to change in a manner which led to poor forecasts. Lenza and Primiceri (2020) propose an alternative VAR-based approach which allows the error covariance matrix to have a mixture distribution. In essence, the pandemic is treated as a large variance shock and pandemic observations are, thus, drastically downweighted in the model estimation.…”
Section: Introductionmentioning
confidence: 99%
“…However, disregarding these recent data is inappropriate for forecasting the future evolution of the economy, because it vastly underestimates uncertainty." Thus, although Schorfheide and Song (2020) and Lenza and Primiceri (2020) adopt very different approaches, they end up with similar advice: discard the pandemic observations when estimating the model.…”
Section: Introductionmentioning
confidence: 99%