"We construct a model where capital competes with fiat money as a medium of exchange, and we establish conditions on fundamentals under which fiat money can be both valued and socially beneficial. When the socially efficient stock of capital is too low to provide the liquidity agents need, they...

We construct a continuous-time, pure currency economy with the following three key features. First, our modelled economy incorporates idiosyncratic uncertainty—households receive infrequent and random opportunities of lumpy consumption—and displays an endogenous, non-degenerate distribution...

We construct a continuous-time, New-Monetarist economy that displays an endogenous, non-degenerate distribution of money holdings. Properties of equilibria are obtained analytically and equilibria are solved in closed form in a variety of cases. Lump-sum transfers financed with money creation...