Template-Type: ReDIF-Paper 1.0 Title: Modeling Bank Panics: Challenges Author-Name: Lawrence Christiano Author-Email:l-christiano@northwestern.edu Author-Name: Husnu Dalgic Author-Email:hdalgic@mail.uni-mannheim.de Author-Name: Xiaoming Li Author-Email: Classification-JEL: E44, G01, G21 Keywords: Bank runs, financial crises, macroprudential policy Abstract: Our primary finding is that surprisingly small changes in assumptions which determine the amount of net worth available in a bank panic have an important impact on the nature of the equilibria: there may not be a bank panic at all, or there may be several di erent panics of di erent severity. The economic reasons for this sensitivity are clarified by transforming the market economy into a game and studying banker best response functions. To establish robustness to model details, we report similar quantitative results across three di erent model specifications and calibrations. A second, additional result, is displayed in a three-period version of the panic model of Gertler and Kiyotaki (2015). That model naturally suggests the idea that welfare can be improved by imposing a restriction on bank leverage. We compute the Ramsey-optimal leverage restriction, but find that there is an implementation problem: the restriction can be associated with more than one equilibrium, not just the desired one. We discuss one way to address the implementation problem. Note: Length: 79 Creation-Date: 2022-03 Revision-Date: File-URL: https://www.crctr224.de/research/discussion-papers/archive/dp343 File-Format: application/pdf Handle: RePEc:bon:boncrc:CRCTR224_2022_343