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THE ROLE OF MATHEMATICAL METHODS IN THE THEORY OF FINANCIAL INVESTMENTS IN FIXED INCOME

https://doi.org/10.21686/2413-2829-2016-4-126-130

Abstract

The article gives the short history of the theory of finance investment with fixed profits in conditions of uncertainty. Special attention is paid to mathematic methods and their role in theory development. The author shows the extension of the mathematic apparatus used in the research as the theory goes on developing. From these points of view some works by the article's author are analyzed. The following conclusions are grounded: the use of mathematic methods plays an important role in shaping and developing the theory, provides an opportunity to systematize market observations, sometimes to explain them and to obtain additional information about investment characteristics of bond.

About the Author

Natalia V. Popova
Plekhanov Russian University of Economics
Russian Federation

PhD, Assistant Professor, Professor of the Department for Higher Mathematics of the PRUE

36 Stremyanny Lane, Moscow, 117997, Russian Federation



References

1. Mel'nikova L. F., Prokshina S. D. Bezriskovye investitsii rossiyskogo rynka tsennykh bumag [Non-Risky Investment of the Russian Securities Market]. Progress of Modern Natural Science, 2012, No. 4, pp. 80–81. (In Russ.).

2. Popova N. V. Vliyanie sroka do pogasheniya na izmenchivost' tseny obligatsii [The Impact of Period of Time before Redemption on the Bond Price]. Bulletin of the Finance University, 2013, No. 3 (75), pp. 72–84. (In Russ.).

3. Popova N. V. Vliyanie chastoty kuponnykh platezhey na pokazatel' dyuratsii obligatsii [The Impact of Frequency of Coupon Payments on the Bond Duration]. Bulletin of the Finance University, 2015, No. 4 (88), pp. 104–115. (In Russ.).

4. Popova N. V. Vliyanie chastoty kuponnykh platezhey na tsenu obligatsii [The Impact of Frequency of Coupon Payments on the Bond Price]. Bulletin of the Finance University, 2012, No. 3 (69), pp. 40–44. (In Russ.).

5. Popova N. V. O nekotorykh svoystvakh dyuratsii Makoleya [About Certain Properties of Macoley's Duration]. Bulletin of the Finance University, 2011, No. 1 (61), pp. 42–46. (In Russ.).

6. Popova N. V. Rynochnye teoremy i ikh prodolzhenie [Market Theorems and their Prolongation]. Vestnik of the Plekhanov Russian University of Economics, 2013, No. 7 (61), pp. 93– 101. (In Russ.).

7. Fabocci F. G. Upravlenie investitsiyami [Investment Management], translated from English. Moscow, Infra-M, 2000. (In Russ.).

8. Sharp U. F., Aleksander G. Dzh., Beyli Dzh. V. Investitsii [Investment]. Moscow, Infra-M, 1999. (In Russ.).

9. Diller S., Dattatreya R. Parametric Analysis of Fixed Income Securities. New York, Goldman Sachs, 1984.

10. Hawawini G. A. On the Mathematics of Macaulay's Duration: a Note. Available at:

11. https://flora.insead.edu/fichiersti_wp/inseadwp1982/82-03.pdf

12. Hopewell M., Kaufman G. Bond Price Volatility and Term to Maturity: a Generalized Respecification. American Economic Review, 1973, Vol. 63, No. 4, pp. 749–753.

13. Macaulay F. Some Theoretical Problems Suggested by the Movements of Interest Rates, Bond Yields and Stock Prices in the United States Since 1856. New York, NBER, 1938.

14. Malkiel B. Expectations, Bond Prices, and the Term Structure of Interest Rates. Quarterly Journal of Economics, 1962, Vol. 76 (2), pp. 197–218.

15. Pianca P. Maximum Duration of Below Par Bonds: A Closed-form Formula. Available at: http://ssrn.com/abstract=738445

16. Redington F. М. Review of the Principles of Life-Office Valuations. Journal of the Institute of Actuaries, 1952, Vol. 78, No. 3, pp. 286–315.

17. Samuelson P. The Effect of Interest Rate Increases on the Banking System. American Economic Review, 1945, Vol. 55, No. 1, pp. 16–27.


Review

For citations:


Popova N.V. THE ROLE OF MATHEMATICAL METHODS IN THE THEORY OF FINANCIAL INVESTMENTS IN FIXED INCOME. Vestnik of the Plekhanov Russian University of Economics. 2016;(4):126-130. (In Russ.) https://doi.org/10.21686/2413-2829-2016-4-126-130

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