Application of Mathematics in Financial Management

Document Type: Research Paper

Author

Department of Mathematics, The Maharaja Sayajirao university of Baroda

10.22034/amfa.2019.583576.1169

Abstract

The Time Value of Money is a 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 and illustrate with their application in the field of investment which is presented in the mathematical terms in form of theorems and we also presented the applications of some well known problems with the proof such as mortagage loan problem, investment in bond and an individual who plans to retire in certain years who plan for invest-ment for its future life. We also presented the application of calculus that is limit, derivative and integration in financial management.

Keywords

Main Subjects


[1] Rudin, W., Principles of Mathematical Analysis, McGraw-Hill, 1976.

[2] Baseri, S., Hakaki, A., Analysis of Financial Leverage, Operating Leverage and Capital Venture Effect on Tobin's Q Ratio of Investment and Holding Companies Listed in Tehran Stock Exchange, Advances in Mathematical Finance and Applications, 2018, 3(1), P.91-96. Doi: 10.22034/amfa.2018.539137

[3] Kevin, J.H., Introduction to Financial Mathematics, CRC Press, A Chapman and Hall Book, 2015.

[4] Mc-Menamin, J., Financial Management; An introduction, Oxford University Press, 2000.

[5] Sheldon, M.R., An elementary introduction to Mathematical Finance, Cambridge University press, 2003.

[6] Izadikhah, M., Improving the Banks Shareholder Long Term Values by Using Data Envelopment Analysis Model', Advances in Mathematical Finance and Applications, 2018, 3(2), P. 27-41. Doi: 10.22034/amfa.2018.5 40829

[7] López-Díaz, M.C., López-Díaz, M., Martínez-Fernández, S., A stochastic order for the analysis of investments affected by the time value of money, Insurance: Mathematics and Economics, 2018, 83, P.75-82, Doi:10.1016/j.insmatheco.2018.08.001.

[8] Hill, J., Time Value of Money: Interest, Bonds, Money Market Funds, Academic Press, 2018, P.157-176, Doi:10.1016/B978-0-12-813497-9.00007-X.

[9] Eshaghi Gordji, M., Askari, G., Hyper-Rational Choice and Economic Behaviour, Advances in Mathematical Finance and Applications, 2018, 3(3), P.69-76. Doi: 10.22034/amfa.2018.544950