Abstract: Banks and financial institutions often encounter the problem of demands multiplicity and uncertainty in providing information to finance the credit required for their investments. Therefore, they seek to participate in projects with least sensitivity to variable factors during project’s life. Thus, in the present study we aim to both consider the results of methods and techniques already used by banks and financial institutions and apply a new integrated model under risk as preliminary estimates which contains four tools including simulation, multiple criteria decision making models of Fuzzy Analytic Hierarchy Process (FAHP), VIKOR compensation model and a mathematical programming method. These four methods can greatly help banks and other decision makers to determine their priorities to participate or not in investments in risk circumstances.