This paper explores the implications of the presence of uninsured idiosyncr
atic risks for the hoarding of intrinsically useless fiat money in an overl
apping-generations model. It is shown that: (a) monetary equilibria exist i
n almost all cases; (b) the valuation of money is not necessarily Pareto-im
proving since the non-monetary steady state may Pareto-dominate the monetar
y one; and (c) the accelerating inflation may, moreover, reduce the long-ru
n capital stock.