This paper characterizes optimal monetary policy in a canonical heterogeneous-agent New Keynesian (HANK) model with wage rigidity. Under discretion, a utilitarian planner faces the incentive to redistribute towards indebted, high marginal utility households, which is a new source of inflationary...

Monetary rules may have a large effect on the outcome of trade wars if central banks target the CPI inflation rate or more generally changes in the relative price of traded goods. We lay out a two-country open-economy model with sticky prices where countries engage in trade wars. In the presence...