Comparing present and accumulated value of annuities with different interest rates

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Fathi Manesh Sirous

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Journal Paper

Paper Information

Journal: COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Year:2019 | Volume:7 | Issue:4 (Special Issue) Page(s): 621-625

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Title

Comparing present and accumulated value of annuities with different interest rates

Author(s)

Fathi Manesh Sirous | Issue Writer Certificate

Keywords

Arithmetic mean

Majorization

Schur-convex function

Abstract

Assume we have k immediate (due)-annuities with different interest rates. Let i = (i1; i2; : : :; ik) and i = (i 1; i 2; : : :; i k) be two vectors of interest rates such that i is majorized by i. It's shown that sum of present and accumulated value of annuities-immediate with interest rate i is grater than sum of present value of annuities-immediate with interest rate i . We also prove the similar results for annuities-due.

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APA: Copy

Fathi Manesh, Sirous. (2019). Comparing present and accumulated value of annuities with different interest rates. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 7(4 (Special Issue)), 621-625. SID. https://sid.ir/paper/345702/en

Vancouver: Copy

Fathi Manesh Sirous. Comparing present and accumulated value of annuities with different interest rates. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2019;7(4 (Special Issue)):621-625. Available from: https://sid.ir/paper/345702/en

IEEE: Copy

Sirous Fathi Manesh, “Comparing present and accumulated value of annuities with different interest rates,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 7, no. 4 (Special Issue), pp. 621–625, 2019, [Online]. Available: https://sid.ir/paper/345702/en

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