In: Finance
Probability |
Expected Return |
0.3 |
-10% |
0.4 |
5% |
0.3 |
15% |
If IBM has the probability distribution shown in the table above, what is IBM’s standard deviation?
Expected return=Respective return*Respective probability
=(0.3*-10)+(0.4*5)+(0.3*15)
=3.5%
probability | Return | probability*(Return-Expected Return)^2 |
0.3 | -10 | 0.3*(-10-3.5)^2=54.675 |
0.4 | 5 | 0.4*(5-3.5)^2=0.9 |
0.3 | 15 | 0.3*(15-3.5)^2=39.675 |
Total=95.25% |
Standard deviation=[Total probability*(Return-Expected Return)^2/Total probability]^(1/2)
=(95.25)^(1/2)
=9.76%(Approx)