Document Type : Research Paper
Ph.D. Candidates in Economics, Payam-e-Noor University
Associate Professor of Economics, Payam-e-Noor University
Associate Professor of Applied Mathematics, Shahid Beheshti University
Assistant Professor of Economics, Imam Sadiq University
The issue of resource mobilization and how it led to the efficient investment activities is the basic foundations of any economy is growing and developing. The banking system is considered the most important institution in this area and devoted himself a major part of the community funds. So need to design a comprehensive model bank operating in accordance with the terms of the community, seems essential. This study used dynamic stochastic optimization pattern, to maximize the net present value of bank profits by taking control variables (the share of each type of deposit) and considering three indicating stochastic inclusion of stochastic differential equation of lawyer in debt deposit, fixed contracts and participation contracts. Results collected from optimum levels of control and status variables shows increase efficiency and reduce costs of each type of deposit, leading to the increasing shift the optimal route, upward and through increased deposit, banks profit also increased. In order to improve performance, sharia compliance and transparency in the functioning of banks, the model presented in this study as a good model for Iranian banking system is suggested.