Department of Statistics, Faculty of Science, University of Kurdistan, Sanandaj, Iran
Abstract
Assume we have $k$ immediate (due)-annuities with different interest rates. Let ${\bf i}=(i_1,i_2,...,i_k)$ and ${\bf i^*}=(i^*_1,i^*_2,...,i^*_k)$ be two vectors of interest rates such that ${\bf i^*}$ is majorized by ${\bf i}$. It's shown that sum of present and accumulated value of annuities-immediate with interest rate ${\bf i}$ is grater than sum of present value of annuities-immediate with interest rate ${\bf i^*}$. We also prove the similar results for annuities-due.
Fathi Manesh, S. (2019). Comparing present and accumulated value of annuities with different interest rates. Computational Methods for Differential Equations, 7(Issue 4 (Special Issue)), 621-625.
MLA
Sirous Fathi Manesh. "Comparing present and accumulated value of annuities with different interest rates". Computational Methods for Differential Equations, 7, Issue 4 (Special Issue), 2019, 621-625.
HARVARD
Fathi Manesh, S. (2019). 'Comparing present and accumulated value of annuities with different interest rates', Computational Methods for Differential Equations, 7(Issue 4 (Special Issue)), pp. 621-625.
VANCOUVER
Fathi Manesh, S. Comparing present and accumulated value of annuities with different interest rates. Computational Methods for Differential Equations, 2019; 7(Issue 4 (Special Issue)): 621-625.
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