Incomplete credit markets and monetary policy

We study monetary policy when private credit markets are incomplete. The macroeconomy we study has a large private credit market, in which participant households use non-state contingent nominal contracts (NSCNC). A second, small group of households only uses cash, supplied by the monetary authority, and cannot participate in the credit market. There is an aggregate shock. We find that, despite the substantial heterogeneity, the monetary authority can provide for optimal risk-sharing in the private credit market and thus overcome the NSCNC friction via a counter-cyclical price level rule. The counter-cyclical price level rule is not unique. To pin down a unique monetary policy rule, we consider two secondary goals for the monetary authority, (i) expected inflation targeting and, (ii) nominal GDP targeting. We examine the impact of each of these approaches on the price level rule and other nominal variables in the economy.