The Friedman rule, a widely studied prescription for monetary policy, is optimal in Townsend's turnpike model of money; it is not so in the overlapping generations version of his stochastic relocation model of money. We investigate these monetary models in the light of this disparity. To that...

In this paper, we explore the connection between optimal monetary policy and heterogeneity among agents. We study a standard monetary economy with two types of agents in which the stationary distribution of money holdings is non-degenerate. Sans type-specific fiscal policy, we show that the...

In this paper, we argue that the observed difference in the cost of intraday and overnight liquidity is part of an optimal payments system design. In our environment, overnight liquidity affects output while intraday liquidity affects only the distribution of resources between money holders and...

This paper studies a overlapping generations economy with capital where limited communication and stochastic relocation create an endogenous transactions role for fiat money. We assume a production function with a knowledge-externality (Romer-style) that nests economies with endogenous growth...

In models of money with an infinitely-lived representative agent (ILRA models), the optimal monetary policy is almost always the Friedman rule. Overlapping generations (OG) models are different: in this paper, we study how they are different, and why. We investigate the welfare properties of...

We propose a new explanation for the observed difference in the cost of intraday and overnight liquidity. We argue that the low cost of intraday liquidity is an application of the Friedman rule in an environment where a deviation of the Friedman rule is optimal with respect to overnight...

We construct an economy populated with infinitely-lived agents and show that the Friedman rule is suboptimal. We do that by showing that our economy and an overlapping generations model in which the Friedman rule is known to be suboptimal are homomorphic. We also discuss the importance of...

In this paper, we explore the connection between optimal monetary policy and heterogeneity among agents. We study a standard monetary economy with two types of agents in which the stationary distribution of money holdings is non-degenerate. Sans type-specific fiscal policy, we show that the...

We study several popular monetary models which generate a non-degenerate stationary distribution of money holdings. Across these environments, our principal finding is as follows: a monetary policy that sets long run nominal interest rates to zero (the Friedman rule) does not typically maximize...