# Stock returns, deviation and portfolio, business and finance homework help

There are two stocks in the market: Stock A and Stock B. The price of Stock A today is \$74. The price of Stock A next year will be \$63 if the economy is in a recession, \$86 if the economy is normal, and \$96 if the economy is expanding. The probabilities of recession, normal times, and expansion are .19, .61, and .20, respectively. Stock A pays no dividends and has a correlation of .69 with the market portfolio. Stock B has an expected return of 13.9 percent, a standard deviation of 33.9 percent, a correlation with the market portfolio of .23, and a correlation with Stock A of .35. The market portfolio has a standard deviation of 17.9 percent. Assume the CAPM holds.

Please show all work/formulas step by step!

 a-1. What is the return for each state of the economy for Stock A? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places (e.g., 32.16).)
 Return Recession % Normal % Expanding %

 a-2. What is the expected return of Stock A? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)
 Expected return %

 a-3. What is the variance of Stock A? (Do not round intermediate calculations and round your final answer to 4 decimal places (e.g., 32.1616).)
 Variance

 a-4. What is the standard deviation of Stock A?(Do not round intermediate calculations.Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)
 Standard deviation %

 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 65 percent of Stock A and 35 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 65 percent of Stock A and 35 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