This paper studies a monetary economy with heterogenous agents in which trade takes place in a centralized market. Each agent is a potential producer and consumer of a service (or perishable good) but has stochastic preferences that determines his taste for the good in each period in time. Money serves as a medium of exchange as well as a store of value. We prove existence of stationary fix-price equilibria with exogenously given quantity of money in which transactions can take place at non-Walrasian prices. Precautionary savings, under- and oversupply, dynamics on moneynholdings, and the effects of changes in the quantity of money are discussed.