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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 13.0% and a beta of 1.50. 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? Group of answer choices 11.20%; 1.23 12.97%; 1.42 12.35%; 1.36 10.64%; 1.17 11.76%; 1.29

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emmanuelkossy

Answer:

The expected return and beta on the portfolio be after the purchase of the Alpha stock will be 11.20%; 1.23

Explanation:

Provided data;

90000 value portfolio with expected returns of 11% and beta of 1.20

($10 × 1000) = 10000 value Alpha Corp added with expected returns of 13% and beta of 1.50.

The new expected portfolio return =

rp = 0.1 × 13% + 0.9 × 11%

rp = 0.1 × 0.13 + 0.9 × 0.11

= 11.20%

The new expected portfolio beta =

bp = 0.1 × 1.50 + 0.9 × 1.20

bp = 1.23

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