Risk management as a very rapid emerging subject has been affected by several happenings in the world. There are many studies covering risk definition, risk types, and risk management, plus there are many contemporary approaches in order to calculate the risk incurred by the companies due to their transactions. In the modern business life, since the transactions have become very fast and their risk exposure increases, the companies, especially the financial institutions, started to use new techniques to measure the probable effects of the risks that they have taken while undertaking the transactions. In this chapter, the authors show two techniques as the contemporary approaches to risk management. These are operations research and statistics. They know that these two concepts are very detailed and sophisticated tools, which require software for better results. The banks have been investing in these solutions, and they are designing new organizations to handle these issues. Thus, the authors introduce these techniques very briefly with using some banking practices for better understanding.