Firms' money demand and monetary policy

Standard New Keynesian models for monetary policy analysis are cashless'. When the nominal interest rate is the central bank's operating instrument, the LM equation is endogenous and, it is argued, can be ignored. The modern theoretical and quantitative debate on the importance of money for monetary policy conduct, however, overlooks firms' money demand. Working in an otherwise canonical New Keynesian setup, we show that macroeconomic dynamics are critically affected by the firms' money demand choice. Under the conventional Taylor-rule framework, we prove that equilibrium determinacy may require either an active interest rate policy, overreacting to inflation, or a passive interest rate policy, underreacting to inflation, depending on the elasticity of production with respect to cash balances. We then develop a numerical analysis to evaluate our theoretical results. We find that macroeconomic stability is more likely to occur under an active, but not overly aggressive, monetary policy stance. We also examine the dynamic effects of forward-looking feedback rules. We show that, in this policy regime, indeterminacy is likely to be induced by both active and passive rules, even for relatively low productivity effects of money.