Stock J has a beta of 1.37 and an expected return of 14.01%. Stock K has a beta of .92 and an expected return of 10.95%. You want a portfolio with the same risk as the market. a. What is the portfolio weight of each stock? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., 32.1616.) b. What is the expected return of your portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
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- Suppose Stock A has B = 1 and an expected return of 11%. Stock B has a B = 1.5. The risk- free rate is 5%. Also consider that the covariance between B and the market is 0.135. Assume the CAPM is true. Answer the following questions: a) Calculate the expected return on share B. b) Find the equation of the Capital Market Line (CML). c) Build a portfolio Q with B = 0 using actions A and B. Indicate weights (interpret your result) and expected return of portfolio Q.Suppose that the risk-free rate r, = 0.03, the expected market return uM = 0.11, and the market volatility oM = 0.16. Stock A has beta = 1.2 and diversifiable risk o̟ = 0.08. Stock B has beta = 0.8 and 0, = 0.03. Stock C has beta = 1.5 and o̟ = 0.1. Consider a portfolio P which is 45% in Stock A, 25% in Stock B, and 30% in Stock C. (a) Find the value of beta for this portfolio. (b) Assuming CAPM, find the portfolio's expected return µp. (c) Find the standard deviation of the portfolio's systematic (or mar- ket) risk. (d) Find the standard deviation o, of the diversifiable risk of P. (You may assume that the diversifiable risks of A,B, and C are uncorrelated.)Stock J has a beta of 1.18 and an expected return of 12.9 percent, while Stock K has a beta of .89 and an expected return of 9.8 percent. You want a portfolio with the same risk as the market. a. What is the portfolio weight of each stock? Note: Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616. b. What is the expected return of your portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Stock J Stock K b. Expected return %
- Consider a portfolio consisting of the following three stocks: E The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. b. Using your answer from part (a), calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part (c), calculate the expected return of the portfolio and verify that it matches your answer to part (b). a. Compute the beta and expected return of each stock. (Round to two decimal places.) TITLT Data table Portfolio Weight (A) Volatility (B) Correlation (C) Expected Return (E) % Beta (D) НЕС Согр 0.28 13% 0.33 Green Widget (Click on the following icon a in order to copy its contents into a spreadsheet.) 0.39 27% 0.61 % Portfolio Weight Alive And Well 0.33 14% 0.43 Volatility 13% Correlation with the Market Portfolio НЕС Согр Green Widget 0.28 0.33 b. Using your answer from part (a), calculate the expected…You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.34 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) What is the portfolio beta?The expected return and standard deviation of Stock A are 12% and 24%, respectively. The expected return and standard deviation of Stock B are 5% and 19%, respectively. The correlation between the two stocks is 0.4. The risk-free rate in the economy is 1%. A. What is the Sharpe ratio for Stock A and Stock B? Show your calculation steps briefly and clearly. B. Calculate the optimal risky portfolio P*. You do not need to show your calculation steps for this subquestion. C. Now suppose that the correlation between the two stocks is -0.2 (instead of 0.4). Re-calculate the optimal risky portfolio P* and compare it to your answer in Part B. What do you observe? You do not need to show your calculation steps for this subquestion. D. Using the results above, briefly explain why investors might still consider investing in stocks with a (relatively) low Sharpe ratio as a part of their portfolio.
- Consider a portfolio consisting of the following three stocks: an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. ▪ The volatility of the market portfolio is 10% and it has b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.(d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.You own a portfolio equally invested in a risk-free asset and two stocks. One of the stocks has a beta of 1.16 and the total portfolio is equally as risky as the market. What must the beta be for the other stock in your portfolio? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Beta
- You own a portfolio equally invested in a risk-free asset and two stocks. One of the stocks has a beta of 1.27 and the total portfolio is equally as risky as the market. What must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) BetaSuppose you are given stocks A and B. Stock A has an expected return of 11% and a standard deviation of 4%. Stock B has an expected return of 21% and a standard deviation of 10%. The correlation between them is -1. Suppose it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Round answer to 3 decimal places.)Suppose the market risk premium is 9 % and also that the standard deviation of returns on the market portfolio is 0.26 . Further assume that the correlation between the returns on ABX (Barrick Gold) stock and returns on the market portfolio is 0.62 , while the standard deviation of returns on ABX stock is 0.36 . Finally assume that the risk-free rate is 2 %. Under the CAPM, what is the expected return on ABX stock? (write this number as a decimal and not as a percentage, e.g. 0.11 not 11%. Round your answer to three decimal places. For example 1.23450 or 1.23463 will be rounded to 1.235 while 1.23448 will be rounded to 1.234)