Demand for the Company's Products |
Probability of This Demand Occurring |
Rate of Return If This Demand Occurs |
Weak | 0.2 | (50%) |
Below average | 0.2 | (14) |
Average | 0.3 | 10 |
Above average | 0.2 | 24 |
Strong | 0.1 | 52 |
1.0 |
Calculate the stock's expected return. Round your answer to two
decimal places.
%
Calculate the stock's standard deviation. Do not round
intermediate calculations. Round your answer to two decimal
places.
%
Calculate the stock's coefficient of variation. Round your answer to two decimal places.
Expected return=Respective return*Respective probability
=(0.2*-50)+(0.2*-14)+(0.3*10)+(0.2*24)+(0.1*52)
which is equal to
=0.20%
probability | Return | probability*(Return-Mean)^2 |
0.2 | -50 | 0.2*(-50-0.20)^2=504.008 |
0.2 | -14 | 0.2*(-14-0.20)^2=40.328 |
0.3 | 10 | 0.3*(10-0.20)^2=28.812 |
0.2 | 24 | 0.2*(24-0.20)^2=113.288 |
0.1 | 52 | 0.1*(52-0.20)^2=268.324 |
Total=954.76% |
Standard deviation=[Total probability*(Return-Mean)^2/Total Probability]^(1/2)
which is equal to
=30.90%(Approx).
Coefficient of variation=Standard deviation/Expected value
=(30.90/0.20)
which is equal to
=154.50(Approx).
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