Bank levy and household risk-aversion
We study a bank levy that funds government guarantees in a general equilibrium setting where banks intermediate between risk-averse households and state-contingent investments. We offer an analytical characterization of the optimal bank levy as a function of household risk-aversion and guarantees. We show that household risk-taking is increasing in guarantees, while it is decreasing as the bank levy and household risk-aversion increase. This allows us to establish a non-trivial relationship between the optimal bank levy and household risk-aversion: Higher risk-aversion optimally induces a higher levy when guarantees exceed a threshold; otherwise, a higher levy shall be observed in economies with less risk-averse households.