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Brian邵彬 · 2024年11月18日

这道题可不可以理解为15%和20%是return sample mean and sample SD?

NO.PZ2020021205000062

问题如下:

A stock has an expected return of 15% and a volatility of 20%. The current price of the stock is USD 50,what is the mean and standard deviation of the continuously compounded return over three years?

选项:

解释:

The mean return (annualized) is 0.150.22/2  =  0.130.15-0.2^2/2\;=\;0.13

the standard deviation of the return is

0.2/3  =  0.11550.2/\sqrt3\;=\;0.1155

这道题可不可以理解为15%和20%是return sample mean and sample SD?

1 个答案

李坏_品职助教 · 2024年11月18日

嗨,努力学习的PZer你好:


这题问的是 continuously compounded return, 题目给出的是股票的μ和σ。这个和sample没啥关系,他直接给出的就是股票总体的统计属性。


我们需要根据μ和σ,利用这个蓝色部分的公式求出连续复利下的expected return = μ - σ^2 / 2

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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