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周建安 · 2023年03月07日

如题

  1. CFA I
  2. Quantitative

NO.PZ2017092702000015

问题如下：

The present value (PV) of an investment with the following year-end cash flows (CF) and a 12% required annual rate of return is closest to:



选项：

A.

€201,747.

B.

€203,191.

C.

€227,573.

解释：

B is correct,

as shown in the following table.



老师你好，我听完time value of money calculation的课之后没有听到有关于这道题相关的公式，请问这道题的算法和公式在后面会有相关的课程吗？

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1 个答案

星星_品职助教 · 2023年03月07日

同学你好，

这道题基于的公式是 PV×（1+r）^n=FV，移项后就是答案解析中的PV=FV / （1+r）^n。这个公式很容易理解，如果想听课讲解，可以参考一下前导课的计算器部分。

也可以用计算器直接按，例如第五年计算PV就是 FV=-10,000，N=5，I/Y=12，PMT=0，CPT PV=5674.2686，加个负号即可。

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