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为了求职冲呀 · 2020年05月13日

问一道题:NO.PZ2017092702000010

问题如下:

A saver deposits the following amounts in an account paying a stated annual rate of 4%, compounded semiannually:

At the end of Year 4, the value of the account is closest to:

选项:

A.

$30,432

B.

$30,447

C.

$31,677

解释:

B is correct.

To solve for the future value of unequal cash flows, compute the future value of each payment as of Year 4 at the semiannual rate of 2%, and then sum the individual future values, as follows:

请问老师这个是那个知识点呢?

1 个答案

星星_品职助教 · 2020年05月13日

同学你好,

这道题本质还是求FV。但因为每年的现金流不是等额的,所以不能直接用年金的方式和计算器直接求。

这种问题的解法就是算出每年现金流对应的终值,然后最后加总就可以。 以第一年的4000为例,终值即为4000*(1+4%/2)^6=4504.65,以此类推,算出四个终值,然后加总即可。

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