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There are two stocks in the market: Stock A and Stock B . The price of Stock A today is $76. The price of Stock

There are two stocks in the market: Stock A and Stock B. The price of Stock A today is $76. The price of Stock A next year will be $65 if the economy is in a recession, $88 if the economy is normal, and $98 if the economy is expanding. The probabilities of recession, normal times, and expansion are .21, .59, and .20, respectively. Stock A pays no dividends and has a correlation of .71 with the market portfolio. Stock Bhas an expected return of 14.1 percent, a standard deviation of 34.1 percent, a correlation with the market portfolio of .25, and a correlation with Stock A of .37. The market portfolio has a standard deviation of 18.1 percent. Assume the CAPM holds.

a-5.

What is the beta of Stock A? (Do not round intermediate calculations and round your final answer to 3 decimal places (e.g., 32.161).)

Beta of Stock A

a-6.

What is the beta of Stock B? (Do not round intermediate calculations and round your final answer to 3 decimal places (e.g., 32.161).)

Beta of Stock B

If you are a typical, risk-averse investor with a well-diversified portfolio, which stock would you prefer?
Stock B
Stock A

b-1.

What is the expected return of a portfolio consisting of 75 percent of Stock A and 25 percent of Stock B? (Do not round intermediate calculations.Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)

Expected return %

b-2.

What is standard deviation of a portfolio consisting of 75 percent of Stock A and 25 percent of Stock B? (Do not round intermediate calculations.Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)

Standard deviation %

c.

What is the beta of the portfolio in part (b)? (Do not round intermediate calculations and round your final answer to 3 decimal places (e.g., 32.161).)

Beta of the portfolio

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