Question
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund,
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 8%. The probability distribution of the risky funds is as follows:
Expected Return | Standard Deviation | |
---|---|---|
Stock fund (S) | 20% | 30% |
Bond fund (B) | 12 | 15 |
The correlation between the fund returns is .10.
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What are the investment proportions in the minimum-variance portfolio of the two risky funds, and what is the expected value and standard deviation of its rate of return? (Round each answer to 4 decimal places.)
a. Weight in debt: Answer
b. Weight in equity:Answer
c. Expected value of rate of return: Answer
d. Standard deviation: Answer
Question 2
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Solve numerically for the proportion of each asset and for the expected return and standard deviation of the optimal risky portfolio.
(Round a. and b. to 6 decimal places.)
a. Weight in equity: Answer
b. Weight in debt: Answer
(Round c. and d. to 4 decimal places.)
c. Expected value of return: Answer
d. Standard deviation: Answer
Question 3
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What is the Sharpe ratio of the best feasible CAL? (Round your answers to 6 decimal places.)
Answer:
Question 4
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Tabulate and draw the investment opportunity set of the two risky funds. Use investment proportions for the stock fund of zero to 100% in increments of 20%.
Stock | Bonds | E(r) | StdDev |
0 | 1 | Answer | Answer |
0.2 | 0.8 | Answer | Answer |
0.4 | 0.6 | Answer | Answer |
0.6 | 0.4 | Answer | Answer |
0.8 | 0.2 | Answer | Answer |
1 | 0 | Answer | Answer |
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Draw a tangent from the risk-free rate to the opportunity set. What does your graph show for the expected return and standard deviation of the optimal portfolio? (Note: You only need to draw the graph on your own paper and compare it with the answer. There is no need to upload your graph.)
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