1.Suppose CAPM is the true model of stockreturns, and the market expected return is 7% with10% volatility. The risk-free rate is 3%. News arrivaldoes not change these abovementioned numbers, butthe (assumed-to-be-accurate) expected returns,volatilities, and betas of the following stocks are asfollows:Expected Return Volatility BetaPackers 12%19%1.36Rams 10%46%2.15Cowboys 7%24%0.88Patriots 5%34%1.26(1) At current market prices, which stock(s)represent buying opportunities?(2) On which stock(s) should you place sell orders?

Given Data Market Expected Return (rm): 7% Market Volatility: 10% Risk-free Rate (rf): 3%Stock…

Answered: 1. Suppose CAPM is the true model of…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose your expectations regarding the stock price are as follows: HPR (including dividends) State of the Market Boom Normal growth Recession Probability Ending Price 0.35 0.30 0.35 Mean Standard deviation Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) – E(r)]² to compute the mean and standard deviation of the HPR S S on stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. do do $ 140 110 80 % 44.5% 14.0 -16.5 %
Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession. Probability Ending Price 0.30 $ 140 0.22 110 0.48 80 Mean Standard deviation. Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) - E(r)]² to compute the mean and standard deviation of the HPR on stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. HPR (including dividends) 55.5% 15.5 -14.0 % %
Compute the abnormal rates of return for the following stocks assuming the following systematic risk measures (betas): Rit = return for stock i during period t Rmt = return for the aggregate market during period t Bi = beta for stock i Use a minus sign to enter negative values, if any. Round your answers to one decimal place. ARBt: ARFt: ARTt: ARct: ARET: % % % % Stock B F T C E % Rit 10.1% 9.4 13.2 11.2 15.1 Rmt 3.9% 8.5 10.0 15.6 11.2 Bi 1.00 1.10 1.45 0.65 -0.40
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?
b) 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.
Stocks A and B have the following probability distributions of expected future returns: profitability A B 0.1 11% 27% 0.2 3 0 0.4 12 20 0.2 24 28 0.1 36 43 Calculate the expected rate of return, , for Stock B ( = 12.70%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.54%.) 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. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be…
Consider the following information on Stocks I and II: Probability of State of Economy State of Economy Rate of Return if State Occurs Stock I Stock II Recession .22 .045 -.37 Normal .62 .355 .29 Irrational .16 exuberance .215 .47 The market risk premium is 11.7 percent, and the risk-free rate is 4.7 percent. a. Calculate the beta and standard deviation of Stock I. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. b. Calculate the beta and standard deviation of Stock II. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskier"? a. Beta Standard deviation b. Beta Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock 1.94 % %
Plz show the formula step by step. There is the following table shows the probabilities of occurrence of 3 states and the expected rate of returns on stocks A and B State Probability Expected rate ofReturns on Stock A Expected rate ofReturns on Stock B Boom 0.5 0.25 0.20 Neutral 0.3 0.15 0.10 Recession 0.2 0.05 0.02 (A) Calculate the expected rates of returns and standard deviations of stocks A and B. The colleague has given you his forecasts of stocks C and D as follows: State Probability Expected rate ofReturns on Stock C Expected rate ofReturns on Stock D Boom 0.7 0.40 -0.10 Bust 0.3 -0.05 0.30 She would like to invest 80% of his money in stock C and 20% of her money in stock D to construct a portfolio.(B) Calculate the portfolio's expected rate of returns and its standard deviation
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 B 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.
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…
CAPM, PORTFOLIO RISK. AND RETURN Consider the following information for Stocks X, Y, and Z. The returns on the three stocks arc positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.)Stock Expected Return Standard Deviation BetaX 9.00% 15% 0.8Y 10.75 15 1.2Z 12.50 15 1.6Fund Q has one-third of its funds invested in each of the three stocks. The risk-free rate is 5.5%, and the market is in equilibrium. (That is, required returns equal expected returns.)a. What is the market risk premium (rM − rRF)?b. What is the beta of Fund Q?c. What is the required return of Fund Q?d. Would you expect the standard deviation of Fund Q to be less than 15%, equal to 15%, or greater than 15%? Explain.
Assume the risk-free rate is 3% and the market return is 10%. Stock X Stock Y Stock Z Beta 0.65 0.90 Current price $13.50 $26.50 Correlation (X/Y) = 0.35 (X/Z) = 0 (Y/Z) = 0.55 a) Most equity research concludes that Stock X is much more volatile compared to the “market". On average, Stock X's volatility is about 1.5 times that of the stock market. Based on CAPM, estimate the required return of Stock X. b) It is expected that Stock Y will pay a per share dividend of $0.43 one year from now, and the dividend will increase by an average of 6% per year in the foreseeable future. According to CAPM, is Stock Y overvalued or undervalued? c) Assume that Stock Z is fairly-priced today. Stock Z has just paid a dividend of $2. It is expected that its dividend will increase by 50% in the first year, 0% in the second year, 10% in the third year, and starting from the fourth year, the company will maintain the dividend growth rate to be 5% forever. How much would Stock Z be worth today if its…

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