Inflation and welfare in an OLG economy with a privately provided public good

Abstract

In this paper we study the welfare effects of monetary policy in a simple overlapping generation economy in which agents voluntarily contribute to a public good. Inflation has two effects at equilibrium: it increases voluntary contributions and it misallocates private consumption across time. We show that the aggregate effect is welfare-improving for "not too large" inflation rates. Moreover, there exists an optimal inflation rate.