We propose a new approach to efficiently estimate and analyze DSGE models subject to large shocks. The methodology is applied to study the macroeconomic effect of these unusual shocks in a new Two-Sector model with heterogenous exposure to the COVID-19 pandemic across sectors. We solve the model nonlinearly and propose a new nonlinear, non-Gaussian filter designed to handle large shocks and identify their source and time location. Monte Carlo experiments show that the estimation and identification of large shocks is feasible with a massively reduced running time. Empirical results indicate that the pandemic-induced economic downturn can be reconciled with a combination of large demand and supply shocks. Finally, we present a set of counterfactual experiments to filter out potential demand and supply shock complementarities, and perform a robustness exercise to check the sensitivity of the model parameters to large shocks.
 

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