Answer:
c. 24.78%
Explanation:
For computing the expected standard deviation first we have to find out the expected rate of return which is shown below:
Expected rate of return = Respective return × Respective probability
=(0.4 × -10) + (0.2 × 10) + (0.4 × 45)
= 16%
Now we have to find out the total probability which is shown below:
Probability Return Probability × (Return - Expected Return)^2
0.4 -10 0.4 × (-10-16)^2 = 270.4
0.2 10 0.2 × (10 - 16)^2 = 7.2
0.4 45 0.4 × (45 - 16)^2 = 336.4
Total = 614%
As we know that
So
Standard deviation= [Total probability × (Return - Expected Return)^2 ÷ Total probability]^(1 ÷2)
= (614)^(1 ÷ 2)
= 24.78%
