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You are attempting to build a portfolio using the index model, and are currently trying to...

You are attempting to build a portfolio using the index model, and are currently trying to decide how much of your risky portfolio you want in the actively managed portfolio, and how much you want in the index fund. Your actively managed portfolio has an alpha of 0.022 and an indiosyncratic variance of 0.21. The index fund has an expected excess return of 0.079 and a variance of 0.40. Assuming the beta of your actively managed portfolio is 1, what percentage of your risky portfolio should be in the actively managed portfolio?

- The answer is 0.53.
How do you get this? please show all work.
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