Question

Assume that you hold a well-diversified portfolio that has an expected return of 12.0% and a beta of 1.50. 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 25% and a beta of 2. 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

Answer 1

Answer: See explanation

Explanation:

The following information can be gotten from the question:

Value of Investment in alpha = $1000 × 10 = $10,000

Weight of Alpha in the total investment would be = 10%

Then, the expected return would be:

= (12% × 90%) + (25% × 10%)

= (0.12 × 0.9) + (0.25 × 0.1)

= 0.108 + 0.025

= 0.133

= 13.3%

Beta will be:

= (1.50 × 90%) + (2 × 10%)

= (1.50 × 0.9) + (2 × 0.1)

= 1.35 + 0.2

= 1.55