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王思祺 · 2020年08月01日

老师请问这么算为什么不对

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.

2 个答案

星星_品职助教 · 2021年01月29日

@J

同学你好,

这个追问在你提问的另一道题下面回复了,参见回复“https://class.pzacademy.com/qa/69869”

星星_品职助教 · 2020年08月01日

同学你好,

这张图你的列式和算法都没有问题,计算出来就是答案的结果。

但这种思路并不是CFA中解题的思路。一般用的思路就是直接按计算器就可以 PV=-1,PMT=0,FV=2,I/Y=2.531(EAR转化后的结果),CPT N=27.73直接得到答案。实际上你列的式子就是以上按键背后的思路。,但直接用计算器远比列式的这种方式快捷。

 

J · 2021年01月29日

星星助教你好,我也是用的上面同学所写的公示计算,可是答案并不在选项中,请求帮助。 1(1+2.5%/365)^365*N = 2 365N* Ln(1+2.5%/365) = Ln 2 365N * 0.000068 = 0.693147 N = 27.92

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