Question: Problem 11-22 Portfolio Returns and Deviations Consider the following information on three stocks: Rate of Return If State Occurs State of Economy Probability of State
Problem 11-22 Portfolio Returns and Deviations
Consider the following information on three stocks:
| Rate of Return If State Occurs | ||||||||||||
| State of Economy | Probability of State of Economy | Stock A | Stock B | Stock C | ||||||||
| Boom | .30 | .27 | .32 | .55 | ||||||||
| Normal | .40 | .23 | .18 | .15 | ||||||||
| Bust | .30 | .01 | ?.32 | ?.48 | ||||||||
a-1 If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Portfolio expected return % a-2 What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.) Variance a-3 What is the standard deviation? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Standard deviation % b. If the expected T-bill rate is 4.90 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected risk premium % c-1 If the expected inflation rate is 4.40 percent, what are the approximate and exact expected real returns on the portfolio? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
| Approximate expected real return | % |
| Exact expected real return | % |
c-2 What are the approximate and exact expected real risk premiums on the portfolio? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
| Approximate expected real risk premium | % |
| Exact expected real risk premium | % |
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