Log-linear Approximation versus an Exact Solution at the ZLB in the New Keynesian Model / Gauti B. Eggertsson, Sanjay R. Singh.

Format:

Book

Author/Creator:

Eggertsson, Gauti B.

Contributor:

National Bureau of Economic Research.

Singh, Sanjay R.

Series:

Working Paper Series (National Bureau of Economic Research) no. w22784.

NBER working paper series no. w22784

Language:

English

Physical Description:

1 online resource: illustrations (black and white);

Place of Publication:

Cambridge, Mass. National Bureau of Economic Research 2016.

Summary:

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.

Notes:

Print version record

October 2016.