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 | 0.19 | 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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