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cococola · 2023年04月18日

关于答案

NO.PZ2018062016000010

问题如下:

Mary has a separate account for her annual savings which has a stated annual rate of 3% and compounding quarterly. At the end of each year, she transfers unequal cash flows into this account. Year 1: $500, Year 2: $800, Year 3: $0, Year 4: $300, Year 5: $500. How much will Mary save for her account at the end of year 5?

选项:

A.

$2246.81

B.

$2247.65

C.

$2281.00

解释:

B is correct.

本题的答案是每一年单独计算 最后加上总额,我想问一下为什么不是第一年算出来的金额 加上第二年又存进去的的钱作为第二年的本金,以此类推到第五年

2 个答案

星星_品职助教 · 2023年04月20日

这样算每年本金必然不一样,但两种方法最终结果是一样的。

可具体补充“最后总额加起来也有差别”的详细计算步骤。

星星_品职助教 · 2023年04月18日

同学你好,

这种方式计算也是可以的。但这样叠加计算比较乱,容易出错。常规做法是将所有的现金流都统一到同一个时间点。

例如本题要求FV,就将所有现金流都逐笔复利到期末时点后,再加和。

可以选择自己比较熟的方法进行计算。

cococola · 2023年04月19日

但是我这样算的话 每年的本金就不一样的吧 最后总额加起来也有差别

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