Valuation of stock loan under uncertain mean-reverting stock model

Stock loan is different from the traditional loan, it needs to be collateralized by stock. Fairly valuing stock loan is very important for financial market participants. The main contribution of this paper is to give a valuing method of stock loan in uncertain environment. Under the assumption that the underlying stock price follows an uncertain mean-reverting stock model, the price formulas of standard stock loan and capped stock loan are derived by using the method of uncertain calculus. Some numerical examples are presented to illustrate the related results. 7