Calculate the expected standard deviation on stock:
State of the economy | Probability of the states | Percentage returns | |
---|---|---|---|
Economic recession | 25% | 1% | |
Steady economic growth | 22% | 9% | |
Boom | Please calculate it | 17% |
Ans 6.70
State of the economy | Probability (P) | RETURN (Y) | (P * Y ) | P * (Y -Average Return of Y)^2 |
Economy recession | 25% | 1 | 0.25 | 26.21 |
Steady economic growth | 22% | 9 | 1.98 | 1.10 |
Boom | 53% | 17 | 9.01 | 17.58 |
TOTAL | 11.24 | 44.90 | ||
Expected Return = | (P * Y) | |||
11.24% | ||||
VARIANCE = | P * (Y -Average Return of Y)^2 | |||
44.9024 | ||||
Standard Deviation = | Square root of (P * (Y -Average Return of Y)^2) | |||
Square root of 44.9024 | ||||
6.70 |
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