We study the implications of uncertainty for ination targeting. We apply Brainards static framework which assumes multiplicative uncertainty in the monetary transmission. Brainards main result is that in the presence of un-certainty, monetary authorities become naturally more cautious. But this also implies that monetary objectives are seldom achieved. We therefore attempt to nd a monetary rule that reaches the objectives set more often and improves the welfare of the Central Bank. Such a rule is the result of a new algorithm that we put forward, in which the ination target is state contingent. The Central Bank sets therefore (as an auxiliary step), a variable ination target that depends on both the degree of uncertainty as well as the shoc...