Inflation response in a New Keynesian model with money illusion

This study investigates the role of money illusion (MI) in a dynamic stochastic general equilibrium model. We introduce MI such that households, in their intertemporal optimization, erroneously recognize nominal variables as real ones. We find that first, our model could exhibit money nonneutrality in the long run; second, the Taylor principle is a sufficient condition for determinacy but not a necessary condition; third, the response to output in monetary policy rule matters for the model not to exhibit money nonneutrality in the long run; and finally, MI could flatten the slope that represents the output-inflation trade-off.