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- Assume you know the expected and required rate of returns of the following stocks. Explainwhich of the following stocks are undervalued, overvalued and fairly valued. Stock Expected rate of return Required rate of return Evaluation X 10 12 ? Y 6 5 ? Z 4 4 ?Please do both questions QUESTION 1 Assume the following data for a stock: beta = 0.9; risk-free rate = 4 percent; market rate of return = 24 percent; and expected rate of return on the stock = 23 percent. Then the stock is: correctly priced. overpriced. this is the wrong answer underpriced. The answer cannot be determined. QUESTION 2 Assume the following data for a stock: beta = 1.5; risk-free rate = 8 percent; market rate of return = 18 percent; and expected rate of return on the stock = 22 percent. Then the stock is: overpriced. underpriced. this is the wrong answer correctly priced. cannot be determinedb) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.
- 2. Suppose that three stocks (A, B, and C) and two common systematic risk factors (1 and 2) have the following relationship: E(RA) = (0.80) F1 + (0.90) F2 E(RB)= (-0.20) F1 + (1.30) F2 E(RC)= (1.80) F1 + (0.50) F2 a. Compute the expected returns if F1 = 4% and F2 = 5% b. Assuming that all three stocks are currently priced at $35 and will not pay a dividend over the next year, compute the expected prices a year from now c. Now, suppose you "know" that in one year the actual prices of stocks A, B, and C will be $37.20, $37.80, and $38.50. How can you best take advantage of what you consider to be a market mispricing? d. How will the current prices adjust?Suppose that three stocks (A, B, and C} and two common risk factors (1 and 2) have the following relationship: E(RA) = (1.1)A1 + (0.8)A2 E(RB) = (0.7)A1 + (0.6)A2 E(RC) = (0.3)A1 + (0.4)A2 a. If A1 = 4 percent and A2 = 2 percent, what are the prices expected next year for each of the stocks? Assume that all three stocks currently sell for $30 and will not pay a dividend in the next year. b. Suppose that you know that next year the prices for Stocks A, B, and C will actually be $31.50, $35.00, and $30.50. Create and demonstrate a riskless, arbitrage investment to take advantage of these mispriced securities. What is the profit from your investment? You may assume that you can use the proceeds from any necessary short sale. Problems 13 and 14 refer to the data contained in Exhibit 7.23, which lists 30 monthly excess returns to two different actively managed stock portfolios (A and B) and three different common risk factors (1, 2, and 3). {Note: You may find it…1. If a stock has a(Alpha)=0.002, b(Beta)=1.4, Using the market model (eq. 7.4), find the expected percent return for the above stock if the market return is expected to be 2% and the risk free rate is 1%. 2. Assume stock prices follow a random walk and a particular stock has had the following recent stock prices: Day 1: 129.5 Day 2: 126.9 Day 3: 127.1 what is the best estimate of day 4 prices?
- Consider the following information for Stocks A, B, and C. The returns on the three stocks, while positively correlated, are not perfectly correlated. The risk-free rate is 5.50%. Stock A B C Expected Return 10.00% 10.90% 11.80% Standard Deviation 15% 15% 15% Beta 1.5 1.8 2.1 Let , be the expected return of stock i, ra represent the risk-free rate, b represent the Beta of a stock, and TM represent the market return. Using SML equation, you can solve for the market risk premium which, in this case, equals approximately The beta for Fund P is approximately Consider Fund P, which has one third of its funds invested in each of stock A, B, and C. You have the market risk premium, the beta for Fund P, and the risk-free rate. Hint: Recall that because the market is in equilibrium, the required rate of return is equal to the expected rate of return for each stock. This information implies that the required rate of return for Fund P is approximately Which of the following is the reason why the…USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Stock Rit Rmt ai Beta C 12 10 0 0.8 E 10 8 0 1.1 Rit = return for stock i during period t Rmt = return for the aggregate market during period t What is the abnormal rate of return for Stock C during period t using only the aggregate market return (ignore differential systematic risk)?Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (5 %) (38 %) 0.2 5 0 0.5 14 21 0.1 23 27 0.1 28 38 Calculate the expected rate of return, , for Stock B ( = 12.60%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 20.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Assume the risk-free rate is 2.5%. What are the Sharpe ratios for Stocks A and B? Do not round intermediate calculations. Round your answers to four decimal places. Stock A: Stock B:
- 8. Stocks A and B have the following returns (see Pearson MyLab Finance for the data in Excel format): Stock A Stock B 1 0.08 0.05 2 0.04 0.04 3 0.14 0.05 4 -0.05 0.01 5 0.08 -0.01 a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.48 what is the expected return and standard deviation of a portfolio of 65% stock A and 35% stock B?The following three stocks are available in the market: E(R) β Stock A 11.0 % 1.32 Stock B 14.2 1.12 Stock C 16.7 1.52 Market 14.6 1 Assume the market model is valid. a. The return on the market is 15.4 percent and there are no unsystematic surprises in the returns. What is the return on each stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Assume a portfolio has weights of 30 percent Stock A, 45 percent Stock B, and 25 percent Stock C. The return on the market is 15.4 percent and there are no unsystematic surprises in the returns. What is the return on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)The returns on each of the three stocks are positively correlated, but they are not perfectly correlated. Expected Standard Stock Return Deviation Beta Stock A 10% 20% 1.0 Stock B 10 20 1.0 Stock C 12 20 1.4 The risk-free rate is 5%. The required returns equal expected returns. What is the market risk premium? а. 4.0% b. 4.5% C. 5.0% d. 5.5% A stock has an expected return of 12% percent. The beta of the stock is 1.2 and the risk-free rate is 7%. What is the market risk premium? а. 2.50% b. 3.50% С. 4.17% d. 5.33% Calculate the beta of the stock that has a required rate of return of 14%. The risk-free rate of return is 5% and that the market risk premium is 7%. а. 1.25 b. 1.29 С. 1.50 d. 1.83