In: Finance
8. Your investment has a 20% chance of earning a 25% rate of return, a 50% chance of earning a 12% rate of return and a 30% chance of losing 10%. What is your expected return on this investment? What is the standard deviation? What is the coefficient of variation?
Expected return=Respective return*Respective probability
=(0.2*25)+(0.5*12)+(0.3*-10)
=8%
probability | Return | probability*(Return-Expected Return)^2 |
0.2 | 25 | 0.2*(25-8)^2=57.8 |
0.5 | 12 | 0.5*(12-8)^2=8 |
0.3 | -10 | 0.3*(-10-8)^2=97.2 |
Total=163% |
Standard deviation=[Total probability*(Return-Expected Return)^2/Total probability]^(1/2)
=(163)^(1/2)
=12.77%(Approx)
Coefficient of variation=Standard deviation/Expected return
=12.77/8
=1.596(Approx)