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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