Question: 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 0.15 0.24
Bond fund 0.08 0.14

The correlation between the fund returns is 0.2. An investor has a risk-aversion of 6. 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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