In cash-in-advance models, necessary and sufficient conditions for the existence of an equilibrium with zero nominal interest rates and Pareto optimal allocations place restrictions only on the very long-run, or asymptotic, behavior of the money supply. When these asymptotic conditions are...

This paper extends a conventional cash-in-advance model to incorporate a real balance effect of the kind described by de Scitovszky, Haberler, Pigou, and Patinkin. When operative, this real balance effect eliminates the liquidity trap, allowing the central bank to control the price level even...