We study the steady state behavior of the market for a storable good where firms have monopoly power instantaneously, but compete against future sellers. Consumers have identical preferences, but differ in their willingness to pay due to differential inventory holdings. In a steady state, the optimal nonlinear tariffs chosen by the firms induce the constant distribution of private inventories. Identical consumers behave differently, shop infrequently and consume in a cyclical manner. The ability to store goods gives rise to inefficiency, but also allows consumers to retain some surplus.