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SPECIFIC FEATURES OF MACAULAY DURATION DEPENDENCE ON PERIOD TO REDEMPTION

https://doi.org/10.21686/2413-2829-2017-3-142-150

Abstract

The article is devoted to taking into account the behavior of the duration indicator between coupon payments in dependence of this indicator from term to maturity. It was found that during the coupon period Macaulay duration varies linearly and at the end of the period duration has a jump, the value of which increases with the term to maturity for bonds sold with a premium and at par. For bonds that are sold at a discount, the value of the jump has a maximum in the region of large maturities. The mathematical proof of the behavior of the jump obtained. The calculations confirm the assertion proven. The results allow to clarify the dependence of Macaulay duration of the period to maturity and complement the theory of financial investments in fixed income.

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'nikov A. V., Popova N. V., Skornyakova V. S. Matematicheskie metody finansovogo analiza [Mathematic Methods of Finance Analysis]. Moscow, ANKIL, 2006. (In Russ.).

2. Popova N. V. O nekotorykh svoystvakh dyuratsii Makoleya [Concerning Certain Features of Macaulay Duration]. Vestnik finansovogo universiteta [Bulletin of the Finance University], 2011, No. 1 (61), pp. 42–46. (In Russ.).

3. Hawawini G. A. On the Mathematics of Macaulay's Duration: a Note. Available at: https://flora.insead.edu/fichiersti_wp/inseadwp1982/82-03.pdf

4. Kopprasch B. Duration: A Practitioner's View. Journal of Applied Finance, 2006, February 16, pp. 138–143.

5. Pianca P. Maximum Duration of Below Par Bonds: A Closed-form Formula. Available at:

6. http://ssrn.com/abstract=738445


Review

For citations:


Popova N.V. SPECIFIC FEATURES OF MACAULAY DURATION DEPENDENCE ON PERIOD TO REDEMPTION. Vestnik of the Plekhanov Russian University of Economics. 2017;(3):142-150. (In Russ.) https://doi.org/10.21686/2413-2829-2017-3-142-150

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ISSN 2413-2829 (Print)
ISSN 2587-9251 (Online)