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Log-linear Approximation versus an Exact Solution at the ZLB in the New Keynesian Model

Gauti Eggertsson () and Sanjay Singh ()

No 22784, NBER Working Papers from National Bureau of Economic Research, Inc

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.

JEL-codes: E30 E50 E60 (search for similar items in EconPapers)
Date: 2016-10
New Economics Papers: this item is included in nep-mac and nep-mon
Note: ME
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Published as Gauti B. Eggertsson & Sanjay R. Singh, 2019. "Log-linear approximation versus an exact solution at the ZLB in the New Keynesian model," Journal of Economic Dynamics and Control, .

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