Template-Type: ReDIF-Paper 1.0 Author-Name: Jesús Fernández-Villaverde Author-X-Name-First: Jesús Author-X-Name-Last: Fernández-Villaverde Author-Name: Joël Marbet Author-X-Name-First: Joël Author-X-Name-Last: Marbet Author-Name: Galo Nuño Barrau Author-X-Name-First: Galo Author-X-Name-Last: Nuño Barrau Author-Name: Omar Rachedi Author-X-Name-First: Omar Author-X-Name-Last: Rachedi Title: Inequality and the zero lower bound Abstract: This paper studies how household inequality shapes the effects of the zero lower bound (ZLB) on nominal interest rates on aggregate dynamics. To do so, we consider a heterogeneous agent New Keynesian (HANK) model with an occasionally binding ZLB and solve for its fully non-linear stochastic equilibrium using a novel neural network algorithm. In this setting, changes in the monetary policy stance influence households' precautionary savings by altering the frequency of ZLB events. As a result, the model features monetary policy non-neutrality in the long run. The degree of long-run non-neutrality, i.e., by how much monetary policy shifts real rates in the ergodic distribution of the model, can be substantial when we combine low inflation targets and high levels of wealth inequality. Creation-Date: 2024-01 File-URL: https://www.bis.org/publ/work1160.pdf File-Format: Application/pdf File-Function: Full PDF document File-URL: https://www.bis.org/publ/work1160.htm File-Format: text/html Number: 1160 Keywords: heterogeneous agents, HANK models, neural networks, non-linear dynamics Classification-JEL: D31, E12, E21, E31, E43, E52, E58 Handle: RePEc:bis:biswps:1160