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lus_32181 · 2020年03月09日

问一道题:NO.PZ2017092702000010 [ CFA I ]为什么这道题不能换算成EAR再去算NPV

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:

老师你好,有点混淆,当出现compoud时,什么时候需要算ear
1 个答案

星星_品职助教 · 2020年03月09日

同学你好,

可以换算成EAR计算,这样第一笔4000就相当于根据EAR去复利了三年,第二笔8000根据EAR复利了两年,以此类推。

但这道题也可以直接按照半年付息一次计算,第一笔4000相当于按照2%的复利利滚利了6个“半年”。

两种方法都是可行的,哪种掌握的好就用哪种就可以了。

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