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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

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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

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What is the Sharpe ratio of the best feasible CAL? (Round your answers to 6 decimal places.)

Answer:

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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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