In this paper we show that if markets are incomplete and there are nom
inal assets, whose payoff is denominated in money, monetary policy wil
l be in general non-neutral. The mechanism through which monetary poli
cy operates is a change in the structure of the rates of return: by ch
anging the level of money prices monetary policy affects the payoffs o
f nominal assets. This differs from previous arguments for non-neutral
ity. We also show that a consideration of this effect of monetary poli
cy may allow us to claim the superiority, from a welfare point of view
, of a random money growth rate over a deterministic one. (C) 1994 Aca
demic Press, Inc.