Question

You want to construct a portfolio containing equal amounts of U.S. Treasury bills and two stocks. If the beta of the first stock is 1.23 and the beta of the portfolio is 1.0, what does the beta of the second stock have to be

Answer 1

Answer:

the beta of the second stock is 1.77

Explanation:

The beta of the second stock is shown below;

Investment in each = (1 ÷ 3)

Now as we know that

Portfolio beta = Respective investments × Respective weights

1 = (1 ÷ 3 × 1.23) + (1 ÷ 3 × beta of the second stock) + (1 ÷ 3 × 0)

We assume the Beta of risk-free assets would be zero

1 = 0.41 + (1 ÷ 3 × beta of the second stock)

The beta of the second stock is

= (1 - 0.41) × 3

= 1.77

Hence, the beta of the second stock is 1.77