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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