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薛真 · 2020年03月23日

问一道题: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

标准差为啥不是:波动率乘意根号3

1 个答案

品职答疑小助手雍 · 2020年03月24日

同学你好,这题写的那个3年有点混淆视线了,其实意思考的是常规的return和volatility转换成continuously compounded的转换。都是年化与T无关。公式减合集讲义的471页。

薛真 · 2020年03月30日

谢谢老师。

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