The optimal inflation target and the natural rate of interest

We study how changes in the steady-state real interest rate affect the optimal inflation target in a New Keynesian DSGE model with trend inflation and a lower bound on the nominal interest rate. In this setup, a lower steady-state real interest rate increases the probability of hitting the lower b...

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Main Authors: Le Bihan, Herve, Gali, Jordi, Andrade, Philippe, Matheron, Julien
Format: Journal Article
Published: Brookings Institution Press 2019
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/81197
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author Le Bihan, Herve
Gali, Jordi
Andrade, Philippe
Matheron, Julien
author_facet Le Bihan, Herve
Gali, Jordi
Andrade, Philippe
Matheron, Julien
author_sort Le Bihan, Herve
building Curtin Institutional Repository
collection Online Access
description We study how changes in the steady-state real interest rate affect the optimal inflation target in a New Keynesian DSGE model with trend inflation and a lower bound on the nominal interest rate. In this setup, a lower steady-state real interest rate increases the probability of hitting the lower bound. That effect can be counteracted by an increase in the inflation target, but the resulting higher steadystate inflation has a welfare cost in and of itself. We use an estimated DSGE model to quantify that trade-off and determine the implied optimal inflation target, conditional on the monetary policy rule in place before the financial crisis. The relation between the steady-state real interest rate and the optimal inflation target is downward sloping. While the increase in the optimal inflation rate is in general smaller than the decline in the steady-state real interest rate, in the currently empirically relevant region the slope of the relation is found to be close to −1. That slope is robust to allowing for parameter uncertainty. Under “make-up” strategies such as price level targeting, the required increase in the optimal inflation target under lower steady-state real interest rate is, however, much smaller.
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spelling curtin-20.500.11937-811972020-10-01T07:39:23Z The optimal inflation target and the natural rate of interest Le Bihan, Herve Gali, Jordi Andrade, Philippe Matheron, Julien Inflation target, Effective lower bound, Natural Interest Rate, Steady-State Real Interest Rate We study how changes in the steady-state real interest rate affect the optimal inflation target in a New Keynesian DSGE model with trend inflation and a lower bound on the nominal interest rate. In this setup, a lower steady-state real interest rate increases the probability of hitting the lower bound. That effect can be counteracted by an increase in the inflation target, but the resulting higher steadystate inflation has a welfare cost in and of itself. We use an estimated DSGE model to quantify that trade-off and determine the implied optimal inflation target, conditional on the monetary policy rule in place before the financial crisis. The relation between the steady-state real interest rate and the optimal inflation target is downward sloping. While the increase in the optimal inflation rate is in general smaller than the decline in the steady-state real interest rate, in the currently empirically relevant region the slope of the relation is found to be close to −1. That slope is robust to allowing for parameter uncertainty. Under “make-up” strategies such as price level targeting, the required increase in the optimal inflation target under lower steady-state real interest rate is, however, much smaller. 2019 Journal Article http://hdl.handle.net/20.500.11937/81197 Brookings Institution Press fulltext
spellingShingle Inflation target, Effective lower bound, Natural Interest Rate, Steady-State Real Interest Rate
Le Bihan, Herve
Gali, Jordi
Andrade, Philippe
Matheron, Julien
The optimal inflation target and the natural rate of interest
title The optimal inflation target and the natural rate of interest
title_full The optimal inflation target and the natural rate of interest
title_fullStr The optimal inflation target and the natural rate of interest
title_full_unstemmed The optimal inflation target and the natural rate of interest
title_short The optimal inflation target and the natural rate of interest
title_sort optimal inflation target and the natural rate of interest
topic Inflation target, Effective lower bound, Natural Interest Rate, Steady-State Real Interest Rate
url http://hdl.handle.net/20.500.11937/81197