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              10% 2%
Steady economic growth 39% 6%
Boom Please calculate it 16%

Round the answers to two decimal places in percentage form. (Write the percentage sign in the "units" box)

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Answer #1

Ans 5.52%

STATE Probability (P) RETURN (Y) (P * Y ) P * (Y -Average Return of Y)^2
ECONOMIC RECESSION 10% 2 0.20 7.57
STEADY ECONOMIC GROWTH 39% 6 2.34 8.62
BOOM 51% 16 8.16 14.33
TOTAL 10.70 30.51
Expected Return = (P * Y)
10.70%
VARIANCE = P * (Y -Average Return of Y)^2
30.5100
Standard Deviation = Square root of (P * (Y -Average Return of Y)^2)
Square root of 30.51
5.52
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