This paper analyzes through a simple two-period model the fact that, i
f some agents hold inside money intertemporally, the second-period ''n
ormalization'' matters. Thus, there are several equilibria of the seco
nd-period economy, indexed by the level of inflation. A concept of equ
ilibrium acknowledging this fact, and requiring that agents put some w
eight on any of the possible second-period equilibrium price vectors i
s developed. Such an equilibrium is shown to exist, and is illustrated
by an example.