Bank runs and investment decisions revisited

We examine how the possibility of a bank run affects the investment decisions made by a competitive bank. Cooper and Ross [1998. Bank runs: liquidity costs and investment distortions. Journal of Monetary Economics 41, 27-38] have shown that when the probability of a run is small, the bank will offer a contract that admits a bank-run equilibrium. We show that, in this case, the bank will chose to hold an amount of liquid reserves exactly equal to what withdrawal demand will be if a run does not occur; precautionary or “excess” liquidity will not be held. This result allows us to show that when the cost of liquidating investment early is high, an increase in the probability of a run will lead the bank to invest less. However, when liquidation costs are moderate, the level of investment is increasing in the probability of a run.