Money Targeting, Heterogeneous Agents and Dynamic Instability

Following a seminal contribution by Bilbiie (2008), the Limited Asset Market Participation hypothesis has triggered a debate on DSGE models determinacy when the central bank implements a standard Taylor rule. We reconsider the issue here in the context of an exogenous money supply rule, documenting the role of nominal and real frictions in determining these results. A general conclusion is that frictions matter for stability insofar as they redistribute income between Ricardian and non-Ricardian households when shocks hit the economy. Finally, we extend the model to allow for the possibility that consumers who do not participate to the market for interest-bearing securities hold money. In this case endogenous monetary transfers between the two groups allow to smooth consumption differences and the model is determinate provided that the non-negativity constraint on individual money holdings is satisfied.