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Caitlin乔 · 2022年04月05日

ear的计算，我是使用的是ear=e^x—1,计算出来是一样的结果,也可以吗

  1. CFA I
  2. Quantitative

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.

老师好,ear的计算，我是使用的是ear=e^x—1,计算出来是一样的结果,也可以吗

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1 个答案

星星_品职助教 · 2022年04月05日

同学你好，

列出的公式是连续复利下的EAR计算式，本题为按日复利（compounded daily），不能混用。

如果要求精细计算，不四舍五入，这两者的结果是有细微差异的，

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