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Answer:
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Assume that you hold a well-diversified portfolio that has an expected return of 11.0% and a beta of 1.20. You are in the process of buying 1,000 shares of Alpha Corp at $10 a share and adding it to your portfolio. Alpha has an expected return of 21.5% and a beta of 1.70. The total value of your current portfolio is $90,000. What will the expected return and beta on the portfolio be after the purchase of the Alpha stock? Do not round your intermediate calculations.
Old portfolio return
11.0%
Old portfolio beta
1.20
New stock return
21.5%
New stock beta
1.70
% of portfolio in new stock = $ in New / ($ in old + $ in new) = $10,000/$100,000=
10%
New expected portfolio return = rp = 0.1 × 21.5% + 0.9 × 11% =
12.05%
New expected portfolio beta = bp = 0.1 × 1.70 + 0.9 × 1.20 =
1.25
Explanation:
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