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Akira · 2020年07月30日

问一道题:NO.PZ2018062016000006 [ CFA I ]

问题如下:

Lucy believes that after retirement she will need about $2 million totally for her daily expenses. At present, she has $1million investment at a stated annual interest rate of 2.5%. Assuming compounded daily, how long does it take for Lucy to have enough money for retirement life?

选项:

A.

27.73 years

B.

28.07 years

C.

26.48 years

解释:

A is correct.

EAR=(1+0.025/365)365-1=0.02531

$1million*(1+0.02531)N =$2million, N=27.73 years.

将B选项带入公式算出等于2.0001,为什么选A而不是B
1 个答案
已采纳答案

星星_品职助教 · 2020年07月30日

同学你好,

这道题不需要用反代选项的方法来做,A和B年数本来就很相近,直接代回去就会出现类似问题,如果设置多位小数,也能看出差别,但没有必要。

这道题直接按计算器就可以,I/Y=2.531,PV=-1,PMT=0,FV=2,CPT N=27.73即可直接选出答案.

只有正面无法解决的问题才需要考虑代入选项,如计算EAR公式中的计息频率m。

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