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Helen 🎈 · 2022年10月27日

时间问题

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.

老师你好,我始终get不到时间问题,看到答案能反应过来但也不是太清晰。为啥不是5年而且4开始。谢谢您

1 个答案

星星_品职助教 · 2022年10月27日

同学你好,

根据题干,每笔现金流都是在年末产生的(“At the end of each year,she transfers unequal cash flows into this account”)。

所以,Year 1的$500现金流是在第一年末产生的,到“at the end of year 5”时,对应的期限是4年,也就是16个季度。

同理,第二笔现金流Year 2: $800到第五年末就是3年(12个季度)。以此类推。

最后一笔现金流Year 5: $500就是在第五年末产生的,算终值的时候直接加上就可以,不需要再往后复利了。

------

如果Year 1的$500现金流是在第一年初也就是0时点产生的,此时到5时点才是5年(20个季度)

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