Question

Let’s consider the probabilities of state of economy are unequal for Stock L and Stock U....

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

(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%

Boom

.20

70%

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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