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OTAUSIN · 2023年06月15日

为什么FV是-1不是1呢?

NO.PZ2018062016000006

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.

为什么FV是-1不是1呢?

1 个答案

星星_品职助教 · 2023年06月15日

同学你好,

现金流只代表方向。方向取决于是从投资者的角度还是从机构的角度出发看问题,对于“she has $1million investment”的方向而言,如果从投资者者角度出发,就是流出,符号可以设置为负号。但如果从机构的角度出发,就是流入了一笔款项,符号可以设置为正号。这并不重要,唯一重要的是无论从哪个角度出发,PV的符号都必须和FV相反。

即本题的计算器按键即可以是:PV=-1,PMT=0,FV=2,I/Y=2.531(EAR转化后的结果),CPT N=27.73

也可以是:PV=+1,PMT=0,FV= -2,I/Y=2.531,CPT N=27.73

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