Question: Equations must be shown if applicable 1. Is it possible to construct a portfolio of real-world stocks that has a required return equal to the
Equations must be shown if applicable
1. Is it possible to construct a portfolio of real-world stocks that has a required return equal to the risk-free rate? Explain.
2. PORTFOLIO BETAAn individual has $20,000 invested in a stock with a beta of 0.6 and another $75,000 invested in a stock with a beta of 2.5. If these are the only two investments in her portfolio, what is her portfolio's beta?
3. PORTFOLIO REQUIRED RETURN Suppose you are the money manager of a $4.82 million investment fund. The fund consists of four stocks with the following investments and betas:
| Stock | Investment | Beta |
| A | $460,000 | 1.50 |
| B | $500,000 | (0.50) |
| C | $1,260,000 | 1.25 |
| D | $2,600,000 | 0.75 |
If the market's required rate of return is 8% and the risk-free rate is 4%, what is the fund's required rate of return?
4. PORTFOLIO BETAA mutual fund manager has a $20 million portfolio with a beta of 1.7. The risk-free rate is 4.5%, and the market risk premium is 7%. The manager expects to receive an additional $5 million, which she plans to invest in a number of stocks. After investing the additional funds, she wants the fund's required return to be 15%. What should be the average beta of the new stocks added to the portfolio?
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