Suppose you are the money manager of a $5.06 million investment fund. The fund consists of four stocks with the following investments and betas:
Stock | Investment | Beta |
A | $580,000 | 1.50 |
B | $800,000 | (0.50) |
C | $1,280,000 | 1.25 |
D | $2,400,000 | 0.75 |
If the market's required rate of return is 9% and the risk-free rate is 4%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places.
So, Beta of the portfolio = 0.764822
Risk free rate = 4%
Market's required rate of return = 9%
Required rate of return = Risk free rate + [Beta* (Market required rate of return - Risk free rate)]
Required rate of return = 4% + [0.764822 * (9% - 4%)]
Required rate of return = 7.824% or
Required rate of return = 7.82%
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