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jiajia11 · 2022年08月22日

方差为什么不用带百分号

NO.PZ2019012201000083

问题如下:

let’s consider the performance of the Russell 1000 between February 1990 and December 2016. The monthly arithmetic return was 0.878%, and the volatility, as measured by the standard deviation of return, was 4.199%. What is the geometric return?

选项:

A.

0.79%

B.

0.62%

C.

0.54%

解释:

We know that the expected compounded/geometric return of an asset (Rg) is approximately related to its expected arithmetic/periodic return (Ra) and its expected volatility (σ):

Rg=Raσ22R_g=R_a-\frac{\sigma^2}2

Rg=0.878%4.199%22=0.79%R_g=0.878\%-\frac{4.199\%^2}2=0.79\%

老师你好请问为什么4,199%的平方不用带百分号?


谢谢!

1 个答案
已采纳答案

笛子_品职助教 · 2022年08月23日

嗨,爱思考的PZer你好:


方差为什么不用带百分号


这里的意思是说,计算的时候要把%都转成小数点来算。并不是说,式子里不带百分号。

0.00878 - 0.5*(0.04199^2)=0.007898 = 0.79%



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