Log-linear approximation versus an exact solution at the ZLB in the New Keynesian model

By Gauti B. Eggertsson, Sanjay R. Singh. Journal of Economic Dynamics and Control, 2016

56 citations recorded by the source corpus.

How accurate is a log-linear approximation of the New Keynesian model when the nominal interest rate is bounded by zero? This paper compares the solution of the exact non-linear model to the log-linear approximation. It finds that the difference is modest. This applies even for extreme events in numerical experiments that replicate the U.S. Great Depression. The exact non-linear model makes the same predictions as the log-linear approximation for key policy questions such as the size and sign of government spending and tax multipliers. It also replicates well known paradoxes like the paradox of toil and the paradox of price flexibility. The paper also reconciles different findings reported in the literature using Calvo versus Rotemberg pricing.

Subfields: Economics and Econometrics

View Paper: https://www.semanticscholar.org/paper/516521fc9bd94b31d4418c87aa4bcbfab882b381

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In Economics and Econometrics

Citations in the corpus

A Model of Secular Stagnation: Theory and Quantitative Evaluation (2019, background): “In separate work, the simple model in this paper is extended to an open economy setting (Eggertsson et al. (2016)), where the open economy dimensions of secular stagnation are analyzed.”