Household heterogeneity and the performance of monetary policy frameworks

We compare the performance of alternative monetary policy frameworks (inflation targeting, average inflation targeting, price level targeting and nominal GDP level targeting) in a tractable HANK model where incomplete financial markets and idiosyncratic earnings risk introduce precautionary savings and consumption inequality. Financial market incompleteness generates an additional source of societal welfare loss due to cyclical fluctuations in inequality on top of those from inflation and output volatility. We find that history-dependent policies are preferred in this framework. However, if central banks put a high weight on curbing inequality, AIT and IT can be preferred over PLT.