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,...

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...

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...

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...

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...

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...

The zero lower bound (ZLB) constraint on interest rates makes speed limit policies (SLPs)---policies aimed at stabilizing the output growth---less effective. Away from the ZLB, the history dependence induced by a concern for output growth stabilization improves the inflation-output tradeoff for...

The zero lower bound (ZLB) constraint on interest rates makes speed limit policies (SLPs) - policies aimed at stabilizing output growth - less effective. Away from the ZLB, the history dependence induced by a concern for output growth stabilization improves the inflation-output tradeoff for a...