Working Paper: NBER ID: w22784
Authors: Gauti B. Eggertsson; Sanjay R. Singh
Abstract: 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.
Keywords: New Keynesian Model; Zero Lower Bound; Fiscal Policy; Government Spending Multiplier
JEL Codes: E30; E50; E60
Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.
| Cause | Effect |
|---|---|
| loglinear approximation (C51) | fiscal policy effects (H30) |
| exact nonlinear model (C51) | fiscal policy effects (H30) |
| government spending multiplier (E62) | exceeds one (Y60) |
| paradox of toil (J22) | remains valid (C20) |
| ZLB (E62) | nonlinearity (C69) |
| loglinear approximation (C51) | does not negate nonlinearities (C51) |