Question: Expected Return and Standard Deviation / This problem will give you some practice calculating measures of prospective portfolio performance. There are two assets and three

Expected Return and Standard Deviation / This problem will give you some practice calculating measures of prospective portfolio performance. There are two assets and three states of the economy

State of

Economy

Probability of State of Economy

Rate of Return If State Occurs

Stock A

Stock B

Recession

.20

-.15

.20

Normal

.50

.20

.30

Boom

.30

.60

.40

Expected Returns :

Stock A = (.20 * -.15) + (0.50 * .20) + (.30 * .60) = .25

Stock B = (.20 * .20) + (.50 * .30) + (.30 * .40) = .31

Standard Deviation :

Stock A = .20 * (-.15 - .25)^2 + .50 * (.20 - .25)^2 + .30 * (.60 - .25)^2 = 0.07

0.07 = .2646, 26.46%

Stock B = .20 * (.20 - .31)^2 + .50 * (.30 - .31)^2 + .30 * (.40 - .31)^2 = 0.0049

0.0049 = .07, 7%

Portfolio Risk and Return / Using the information in the precious problem, suppose you have $20,000 total. If you put $15,000 in Stock A and the remainder in Stock B. what will be the expected return and standard deviation of your portfolio?

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