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...

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...

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...

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...