application of mathematics in financial management

The time value of money is an important concept in financial management. the time value of money includes the concepts of future value and discounted value or present value. in the present article, the basic notions are described and their applications in the field of investment are presented in the mathematical terms by using some useful theorems. then, the applications of some well-known problems with the proof such as mortgage loan problem, investment in bond and an individ-ual who plans to retire in certain years who plan for investment for its future life. we also presented the application of calculus such as limit, derivative and integration in financial management.