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司聪 · 2021年04月29日

不知道是不是计算过程错啦,算的不太一样

NO.PZ2018062016000011

问题如下:

To increase current investment value of $25,000 to $35,000 in 5 years, which will be the most appropriate below?

选项:

A.

deposit in the account that stated annual rate of 6.55% and compounded continuously

B.

deposit in the account that stated annual rate of 7% and compounded monthly

C.

deposit in the account that stated annual rate of 6.79% and compounded quarterly

解释:

C is correct. $25,000(1+r/4)4*5=$35,000, r=6.79%.

month=(1+6.96%/12)12次方-1=7.2%

quarter=(1+6.96%/4)4次方-1=7.14%

1 个答案
已采纳答案

星星_品职助教 · 2021年04月30日

同学你好,

6.96%是EAR的概念,EAR不能再除以计息频率,需要通过除以计息频率做调整的是stated annual rate。

所以你的两个步骤修正如下:

month的情况:(1+7%/12)12次方-1=7.23%

quarte的情况:(1+6.79%/4)4次方-1=6.96%

可以看出来quarte的情况算出来的EAR正好和题干中“$25,000 to $35,000 in 5 years”得到的EAR一样。所以选择C选项。

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