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A pension fund manager is considering three assets. The first is a stock fund, the second is a long-term government and corporate bond fund, and

A pension fund manager is considering three assets. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill yielding 0.04. The probability distribution of the risky funds is as follows:

Expected ret. std. dev.
Stock fund 0.19 0.31
Bond fund 0.06 0.11

The correlation between the fund returns is 0.18. An investor has a risk-aversion of 8. In her optimal complete portfolio (including stocks, bonds, and risk-free assets), what is the proportion of the risk-free asset?

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