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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 0.04. The probability distribution of the risky funds is as follows:

Expected ret. std. dev.
Stock fund 0.16 0.29
Bond fund 0.08 0.12

The correlation between the fund returns is 0.11.

Jessica has a risk aversion level of 6. In her optimal complete portfolio (including stocks, bonds, and risk-free assets), what is the proportion of the stock fund?

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