Comparing present and accumulated value of annuities with different interest rates

	Comparing present and accumulated value of annuities with different interest rates
Computational Methods for Differential Equations
مقاله 12، دوره 7، Issue 4 (Special Issue)، آبان 2019، صفحه 621-625 اصل مقاله (327.64 K)
نوع مقاله: Research Paper
نویسنده
Sirous Fathi Manesh
Department of Statistics, Faculty of Science, University of Kurdistan, Sanandaj, Iran
چکیده
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.
کلیدواژه‌ها
Arithmetic mean؛ Majorization؛ Schur-convex function

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