We analyse the interaction between private agents? uncertainty about inflation target and the central bank's data uncertainty. In our model, private agents update their perceived inflation target and the central bank estimates unobservable economic shocks as well as the perceived inflation...

We build a model of rational bubbles in a limited commitment economy and show that the impact of the bubble on the real economy crucially depends on who holds the bubble. When banks are the bubble-holders, this amplifies the output boom while the bubble survives but also deepens the recession...