Given the table below, what is the expected return to your portfolio? What is the standard deviation?
State Probability Return
Boom | 30% | 18% |
Normal | 60% | 8% |
Bad | 10% | -4% |
State Probability Return | Probability | Return | Expected Return = Prob. x Return | ||
Boom | 30.00% | 18.00% | 5.40% | ||
Normal | 60.00% | 8.00% | 4.80% | ||
Bad | 10.00% | -4.00% | 0.40% | ||
Expected Return | 9.80% | ||||
Probability | Return | Return - Expected Return | (Return - Expected Return)^2 | (Return - Expected Return)^2 X probability | |
Boom | 30.00% | 18.00% | 8.20% | 0.67% | 0.20% |
Normal | 60.00% | 8.00% | -1.80% | 0.03% | 0.02% |
Recession | 10.00% | -4.00% | -13.80% | 1.90% | 0.19% |
Variance | 0.41% | ||||
Standard Deviation=sqrt(variance) | 6.42% |
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