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8527 · 2022年04月07日

这种题型判断是长期还是短期

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

麻烦老师帮我解答一下: 根据这道题,求三年期的stockprice,和上一题求6个月的stock price。 为什么在上一题求6个月的stock price是答案说因为这是长期的所以用 lognormal stock price的分布。可是在这题中3年期(比六个月更长),为什么又用回短期的那种平方分法则算mu 和 sigma了呢?


如果考试时遇到这种时间问题,多长时间算长期以及短期呢

1 个答案

品职答疑小助手雍 · 2022年04月07日

同学你好,没人给这题的期限定义是短期啊,这题本来就不涉及期限,考的是常规的return和volatility转换成continuously compounded的转换。

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