Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/251606 
Authors: 
Year of Publication: 
2022
Series/Report no.: 
Deutsche Bundesbank Discussion Paper No. 09/2022
Publisher: 
Deutsche Bundesbank, Frankfurt a. M.
Abstract: 
Occasionally binding constraints (OBCs) like the zero lower bound (ZLB) can lead to multiple equilibria, and so to belief-driven recessions. To aid in finding policies that avoid this, we derive existence and uniqueness conditions for otherwise linear models with OBCs. Our main result gives necessary and sufficient conditions for such models to have a unique ('determinate') perfect foresight solution returning to a given steady state, for any initial condition. While standard New Keynesian models have multiple perfect-foresight paths eventually escaping the ZLB, price level targeting restores uniqueness. We also derive equilibrium existence conditions under rational expectations for arbitrary non-linear models.
Subjects: 
occasionally binding constraints
zero lower bound
determinacy
existence
uniqueness
price level targeting
JEL: 
C62
E3
E4
E5
ISBN: 
978-3-95729-877-5
Document Type: 
Working Paper

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