Answer: The standard deviation of the stock is 3.23 percentage
Explanation:
First we shall calculate the epected weighted average return of the stock.
We shall multiply the probability of the scenario with its expected return and then take the sum of the expected returns of different scenarios,
E(x) = (0.2 x 14%) + (0.7 x 8%) + (0.1 x 2%)
E(x) = 8.6%
We shall use the follwing formula to calculate the Variance of the stock,
σ²(x) = ∑ P() × [
- E(r)]²
σ²(x) = (0.2) (0.14 - 0.086)² + (0.7) (0.08 - 0.086)² + (0.1) (0.02 - 0.086)²
σ²(x) = 0.001044
To find the standar deviation,
σ(x) =
σ(x) = 0.0323109
in percentage it would be 3.23%