Let’s consider the probabilities of state of economy are unequal for Stock L and Stock U. Recalculate variances and standard deviations of Stock L and Stock U.
Stock L |
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(1) State of Economy |
(2) Probability of State of Economy |
(3) Rate of Return if State Occurs |
(4) Expected Return = sum of (2) × (3) |
(5) Deviation from expected return = (3) – E(R) |
(6) Squared Deviation from expected return = (5) × (5) |
(7) Expected Variance = sum of (2) × (6) |
Recession |
.80 |
-20% |
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Boom |
.20 |
70% |
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E(R) = |
σ2= |
|||||
Standard deviation (σ) = variance = |
Stock U |
||||||
(1) State of Economy |
(2) Probability of State of Economy |
(3) Rate of Return if State Occurs |
(4) Expected Return = sum of (2) × (3) |
(5) Deviation from expected return = (3) – E(R) |
(6) Squared Deviation from expected return = (5) × (5) |
(7) Expected Variance = sum of (2) × (6) |
Recession |
.80 |
30% |
||||
Boom |
.20 |
10% |
||||
E(R) = |
σ2= |
|||||
Standard deviation (σ) = variance = |
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