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4) 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

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4) 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 0.02 (2%). The probability distribution of the funds is as follows: Expected Return Standard Deviation : Stock fund (S) Bond fund (8) Risk-Free 0.200 0.100 0.020 0.400 0.150 Correlation 0200 Find the investment proportions in the minimum variance portfolio (MVP) of the two risk asset (S points) a) b) What portion of your wealth should go to S and B respectively to achieve the tangent c) portfolio (i.e., the portfolio with highest Sharpe ratio) (5 points) Draw the minimum variance frontier and the efficient variance frontier (5 points)

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