Stochastic reserve changes and expansion of bank credit: The case of additional risks

In this paper we examine the effects of introducing additional risks to the Orr-Mellon-Cooper model on the asymptotic behavior of bank credit expansion, and derive monetary policy implications therefrom. Our model of additional risks corrects a loss of generality existing in the Orr-Mellon-Cooper model. It shows that the local solution for optimal credit expansion is the global solution, regardless of the parameters of the reserve loss functions, when the default risk is introduced. The analysis further points out necessary conditions to determine the direction of credit changes caused by a monetary injection under uncertainty.