Question

A stock had returns of 18.58%, -5.58%, and 20.81% for the past three years. What is the variance of returns?

Answer 1

Variance = 0.02141851

Step-by-step explanation:

We first calculate the mean for the stocks

Mean = (0.1858 - 0.0558 + 0.2081) / 3

Mean = 0.3381 / 3

Mean = 0.1127

Variance = [(0.1858 - 0.1127)^2 + (- 0.0558 - 0.1127)^2 + (0.2081 - 0.1127)^2] / 3 -1

Variance = [0.0731^2 + (-0.1685^2) + 0.0954^2] / 2

Variance = 0.00534361 + 0.02839225 + 0.00910116 / 2

Variance = 0.04283702 / 2

Variance = 0.02141851

The variance of returns is 0.02141851