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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. The total value of your current portfolio is $90,000. 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 13.0% and a beta of 1.50. What will the expected return and beta on the portfolio be after the purchase of the Alpha stock

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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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