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ciciyi · 2020年04月15日

问一道题: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 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.

老师想问一下存入800后,800元的利息为什么是以800为基准而不是500元在第二年底加完利息后的数额加上800作为复利。

1 个答案

星星_品职助教 · 2020年04月15日

同学你好,

你说的也是一种方法,这种方法也是能算出来的,但并不是协会给的思路。因为这种算法很麻烦,也容易乱。没必要去掌握,也不建议从这个思路去想。

答案的思路更为清晰一些,每年固定进入一笔现金流,只需要把这些现金流都算到同一个时间点上(第五年,算终值),最后相加就可以了。这种方式思路比较清晰,考试的时候掌握这种解法即可。

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