5.Problem 8.14 (Portfolio Beta)

Suppose you held a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio's beta is 1.75. Now suppose you decided to sell one of the stocks in your portfolio with a beta of 1.0 for $7,500 and use the proceeds to buy another stock with a beta of 0.70. What would your portfolio's new beta be? Do not round intermediate calculations. Round your answer to two decimal places.

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6.Problem 8.16 (CAPM and Portfolio Return)

You have been managing a $5 million portfolio that has a beta of 1.45 and a required rate of return of 10.975%. The current risk-free rate is 3%. Assume that you receive another $500,000. If you invest the money in a stock with a beta of 1.65, what will be the required return on your $5.5 million portfolio? Do not round intermediate calculations. Round your answer to two decimal places.

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7.Problem 8.17 (Portfolio Beta)

A mutual fund manager has a $20 million portfolio with a beta of 2.8. The risk-free rate is 5.5%, and the market risk premium is 9%. 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 28%. What should be the average beta of the new stocks added to the portfolio? Negative value, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to one decimal place.

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