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momo · 2023年08月10日

课后题

  1. CFA I
  2. Quantitative

NO.PZ2023052302000005

问题如下：

Which of the following statements regarding arithmetic and geometric means is correct?

选项：

A.

The geometric mean will exceed the arithmetic mean for a series with non-zero variance

B.

The geometric mean measures an investment’s compound rate of growth over multiple periods.

C.

The arithmetic mean measures an investment’s terminal value over multiple periods.

解释：

B is correct. The geometric mean compounds the periodic returns of every period, giving the investor a more accurate measure of the terminal value of an investment.

a为什么不对。。。。。。。

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1 个答案

星星_品职助教 · 2023年08月11日

同学你好，

Arithmetic mean，geometric mean，harmonic mean三者的关系为A≥G≥H，和开头字母的排序顺序一致。

其中等号只在所有值都相等（每个值都相等，没有波动，即zero variance）的时候才成立。

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