We consider a general equilibrium model where monetary policy has redistributive effects. Agents have stochastic preferences and face random buying and selling opportunities. In this environment, the Friedman Rule is just the second best policy. It requires to set the gross growth rateof the money supply equal to the discount factor of the most patient agents. Moreover, the Friedman Rule is not the only Pareto optimal monetary policy. We show that an elected central banker will not follow the Friedman Rule if the majority of the people is impatient.