Framework of pricing a revolver loan in the case of dependent defaultsOA

In this paper we analyze the main characteristics of correlative clients and the revolver loan and reduced form models for the correlative clients A and B in real-life. This is done by decomposing the default intensity into specific default intensity and homogenous default intensity. We also use a mathematical formula of the default joint distribution function and the marginal distribution function in the physical measure to deduce the martingale measure. The modeling idea on pricing the revolver loan with client A is presented by applying reduced form model. Through calculating the cost and income fund flows under the martingale measure, the framework of a "break-even" pricing model is established. The conclusion is that the interest rate of a revolver loan for client A on the "break-even" point is not related to the maximum authorized amount and the drawdown amount at that time under some assumptions, but only rests with credit rating and homogenous default intensity of client A and B as well as loan term of client A.