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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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آمار تعداد مشاهده مقاله: 503 تعداد دریافت فایل اصل مقاله: 432 |
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