We propose a model of coupled random walks for stock-stock correlations. The walks in the model are coupled via a mechanism that the displacement (price change) of each walk (stock) is activated by the price gradients over some underlying network. We assume that the network has two underlying structures, describing the correlations among the stocks of the whole market and among those within ind...

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...

This paper is concerned with valuation of stock loans. The underlying stock price is assumed to follow a mean reverting uncertain differential equation driven by canonical Liu process in this paper. The price formulas of standard stock loan and capped stock loan are derived by using method of uncertain calculus within the framework of uncertainty theory.

Stock exchanges are considered major players in financial sectors of many countries. Most Stockbrokers, who execute stock trade, use technical, fundamental or time series analysis in trying to predict stock prices, so as to advise clients. However, these strategies do not usually guarantee good returns because they guide on trends and not the most likely price. It is therefore necessary to expl...