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010****0328 · 2021年02月09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.

用计算器算n次方事pv为什么是负数
1 个答案

星星_品职助教 · 2021年02月10日

同学你好,

符号只代表现金流的方向,不代表大小。符号方向可以根据“从谁的角度出发”来自己设置。跟是不是用计算器算n次方没有关系。

例如这道题,如果从Luck的角度出发,起初投入了1 个million,这是一个现金的流出,所以PV设置为-1。而期末这笔投资会带来2个million的收入,这是一个现金的流入,所以FV设置为+2.

但如果将PV设置为+1,FV设置为-2也不会影响计算的结果,这时候就是收钱方的角度出发考虑了,期初收到了1个million,期末要给出2个million。

这道题的PMT=0可以不用考虑,只要PV,FV同号,就不会影响计算结果,符号方向可以自行设置。

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