Habit persistence and money in the utility function

The paper introduces habit persistence in consumption decisions in an infinitely-lived agents monetary model where money enters in the utility of the agent. In this case, we show that the equilibrium is saddle path whereas Auray, Collard and Fève [2004] showed that the interplay between habit persistence and cash-in-advance generates real indeterminacy. These two distinct but commonly used framework do not lead to the same dynamic properties, therefore.