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cococjy · 2020年08月08日

问一道题：NO.PZ2017092702000011 [ CFA I ]

  1. CFA I
  2. Quantitative

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%)

还有老师如果这道题 continues要怎么算呢
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2 个答案

星星_品职助教 · 2020年08月10日

@cococjy

举个例子，如果e的r次方等于100，那么r就等于Ln 100，计算器上直接输入100，然后按最左侧一列里的LN就可以，结果为4.6052

如果想求e的r次方，那么输入r的数值，然后按 2nd + LN键就可以，例如e的5次方即为148.4132

星星_品职助教 · 2020年08月09日

同学你好，

如果题干为6年连续计息，则列式为 500,000×e^6r=800,000，可直接得出连续计息下的r=0.0783

但不要自己去改题目，要按照协会出题的思路走。

cococjy · 2020年08月10日

老师我知道的 我只是不是很会算continue 像这个题这个r用计算器要怎么算出来呢

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