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iamjj · 2022年11月21日

请问老师这道题是要每一个选项都算一下来看吗？

  1. CFA I
  2. Quantitative

NO.PZ2017092702000011

问题如下：

An investment of €500,000 today that grows to €800,000 after six years has a stated annual interest rate closest to:

选项：

A.

7.5% compounded continuously.

B.

7.7% compounded daily.

C.

8.0% compounded semiannually.

解释：

C is correct,

as shown in the following (where FV is future value and PV is present value): If: FVN = PV(1 + rs/m)mN, Then: (800,000500,000)12×6−1=rs2{(\frac{800,000}{500,000})}^\frac1{2\times6}-1=\frac{r_s}2    rs = 0.07988 (rounded to 8.0%)

因为每个选项的利率和期数都不一样，是不是很难算中间那个？所以得每个选项都算一下？

我的计算方法是

A 选项 500,000*（e的7.5次方）=780,000

B选项 500,000*（1+7.7%/365)的365*6次方=793,500

C选项 500,000*(1+8%/2)的6*2次方=800，516


所以选C.请问我的计算方法对吗？有更简单的答题方法吗？

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1 个答案

星星_品职助教 · 2022年11月21日

同学你好，

这种题目只能挨个算。

提问的计算列式中：

A选项应为 500,000*（e的0.075×6次方）=500,000*（e的0.45次方）=784,156.0927.

B选项列式无误，结果应为793,583,.9834.

C选项没什么问题。

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