Empirical analyses starting from Laubach and Williams (2003) find that the natural rate of interest is not constant in the long-run. This paper studies the optimal response to stochastic changes of the long-run natural rate in a suitably modified version of the new Keynesian model. We show that,...

A key result of a recent literature that focuses on the global consequences of Taylor-type interest rate feedback rules is that such rules in combination with the zero bound on nominal interest rates can lead to unintended liquidity traps. An immediate question posed by this result is whether...

In this paper we study the role of the exchange rate in conducting monetary policy in an economy with near-zero nominal interest rates as experienced in Japan since the mid-1990s. Our analysis is based on an estimated model of Japan, the United States and the euro area with rational expectations...

We propose a new interest rate rule that implements the optimal equilibrium and eliminates all indeterminacy in a canonical New Keynesian model in which the zero lower bound on nominal interest rates (ZLB) is binding. The rule commits to zero nominal interest rates for a length of time that...

I give necessary and sufficient conditions under which interest-rate feedback rules eliminate aggregate instability by inducing a globally unique optimal equilibrium in a canonical New Keynesian economy with a binding zero lower bound. I consider a central bank that initially keeps interest...

Japan has been in a benign liquidity trap since 1990. In a benign liquidity trap, interest rates approach zero, prices decline, and monetary policy is ineffective but output and employment perform decently. Such a pattern contradicts traditional macro theories. This paper introduces a monetary...

How does the need to preserve government debt sustainability affect the optimal monetary and fiscal policy response to a liquidity trap? To provide an answer, we employ a small stochastic New Keynesian model with a zero bound on nominal interest rates and characterize optimal time-consistent...

Central banks wish to avoid self-fulfilling fluctuations. Monetary rules with a unit response to real rates achieve this under the weakest possible assumptions about the behaviour of households and firms. They are robust to household heterogeneity, hand-to-mouth consumers, non-rational...

Assigning a discretionary central bank a mandate to stabilize an average in ation rate| rather than a period-by-period in ation rate|increases welfare in a New Keynesian model with an occasionally binding lower bound on nominal interest rates. Under rational expecta- tions, the...

Historically, inflation is negatively correlated with stock returns, leading investors to fear inflation. We document using a variety of measures that this association became positive in the U.S. during the 2008-2015 period. We then show how an off-the-shelf New Keynesian model can reproduce...