Question

Calculate the expected standard deviation on stock: State of the economy Probability of the states Percentage...

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%
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Answer #1

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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