Given the following information, what is the expected rate of
return and the standard deviation for this stock?
State of Economy | Probability of State of Economy | Rate of Return |
Boom |
0.3 |
0.23 |
Normal |
0.65 | 0.14 |
Recession |
0.05 |
-0.36 |
State of Economy | Probability (P) | RETURN (Y) | (P * Y ) | P * (Y -Average Return of Y)^2 |
Boom | 30% | 23 | 6.90 | 23.23 |
Normal | 65% | 14 | 9.10 | 0.03 |
Recession | 5% | -36 | -1.80 | 126.00 |
TOTAL | 14.20 | 149.26 | ||
Expected Return = | (P * Y) | |||
14.20% | ||||
VARIANCE = | P * (Y -Average Return of Y)^2 | |||
149.2600 | ||||
Standard Deviation = | Square root of (P * (Y -Average Return of Y)^2) | |||
Square root of 149.26 | ||||
12.22 |
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