The presence of a lower bound of zero on nominal interest rates has important implications for the conduct of optimal monetary policy. Standard rational expectations models can have alternative steady states as well as non-unique laws of motion, i.e. there can be possible sunspot equilibria. Such complications can be ruled out under a number of alternative assumptions. In this paper we analyse the relevance of the zero lower bound for alternative levels of inßation in a stan- dard Neo-Keynesian model, where stability is assured by assuming that Þscal policy turns expansionary at the zero lower bound.