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You have the following assets available to you for investment: Asset Alpha Beta with respect to market index Idiosyncratic variance 1 0.02 0.9 0.33 2

You have the following assets available to you for investment:

Asset

Alpha

Beta with respect to market index

Idiosyncratic variance

1

0.02

0.9

0.33

2

0.005

1.6

0.19

In addition, there is the market portfolio, which has an expected return of 8.7% and a variance of 0.14, and the riskless asset, which returns 3.1%.

3A. Using the index model, what should the weights of Assets 1 and 2 be, assuming the beta of your actively managed portfolio is 1?

3B. Assuming the beta of your actively managed portfolio is 1, what proportion of the optimal risky portfolio should be composed of the market portfolio?

3C. What is the beta of your actively managed portfolio?

3D. What is the optimal risky portfolio for these assets, using the index model?

3E. If you have a coefficient of risk aversion of 2.4, what is the certainty equivalent of this risky portfolio?

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