Question

Assume that the risk-free rate is 6% and the market risk premium is 5%. Given this information, which of the following statements is CORRECT? a. An index fund with beta = 1.0 should have a required return less than 11%. b. An index fund with beta = 1.0 should have a required return greater than 11%. c. If a stock's beta doubles, its required return must also double. d. An index fund with beta = 1.0 should have a required return of 11%.

Answer 1

Answer:

d. An index fund with beta = 1.0 should have a required return of 11%.

Explanation:

required rate of return for a market indexed portfolio = 6% + (1 x 5%) = 11%

If the required rate of return is less than 11%, the beta is lower than 1.

If the required rate of return is more than 11%, the beta is larger than 1.

If beta doubles, then the required rate of return = 6% x (2 x 5%) = 16%