Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: Coefficient of variation: Sharpe ratio:

Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: Coefficient of variation: Sharpe ratio:

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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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
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.6% + 1.2RM + eA RB = -1.6% + 1.5RM + eB OM = 16%; R-squarea = 0.25; R-square; = 0.15 What is the covariance between each stock and the market index? (Calculate using numbers in decimal form, not percentages. Do not round your intermediate calculations. Round your answers to 3 decimal places.) Covariance Stock A Stock B
Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 (15%) (31%) 0.1 5 0 0.6 15 18 0.1 0.1 22 31 30 49 a. Calculate the expected rate of return, B, for Stock B (A = 13.30%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 19.42%.) 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? I. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in…
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (7 %) (26 %) 0.1 3 0 0.5 14 22 0.2 20 26 0.1 36 50 Calculate the expected rate of return, , for Stock B ( = 14.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.68%.) 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 less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. If Stock B is more highly correlated with the market than A, then it might have a higher…
A stock's returns have the following distribution: Demand for theCompany's Products Probability of thisDemand Occurring Rate of Return ifthis Demand Occurs Weak 0.1 (22%) Below average 0.2 (13) Average 0.3 17 Above average 0.3 39 Strong 0.1 64 1.0 Assume the risk-free rate is 2%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: % Coefficient of variation: Sharpe ratio:
Consider the following information on Stocks I and II: The market risk premium is 8 percent and the risk-free rate is 40.5 percent. a-1. What is the beta of each stock? Note: Do not round Intermedlate calculations. Round your answers to 2 decimal places. a-2. Which stock has the most systematic risk? Stock I Stock II b-1. What is the standard deviation of each stock? Note: Do not round Intermedlate calculations. Enter your answers as a percent rounded to 2 decimal places. b.2. Which one has the most unsystemstic risk? Stock I Stock II c. Which stock is "riskier"? Stock I Stock II
Stock X has a 9.0% expected return, a beta coefficient of 0.7, and a 40% standard deviation of expected returns. Stock Y has a 12.0% expected return, a beta coefficient of 1.1, and a 20% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%. Calculate each stock's coefficient of variation. Do not round intermediate calculations. Round your answers to two decimal places. Calculate each stock's required rate of return. Round your answers to one decimal place. rx = % ry = % Calculate the required return of a portfolio that has $7,500 invested in Stock X and $2,500 invested in Stock Y. Do not round intermediate calculations. Round your answer to two decimal places. rp = %
A stock's returns have the following distribution: Demand for theCompany's Products Probability of ThisDemand Occurring Rate of Return IfThis Demand Occurs Weak 0.1 (48%) Below average 0.1 (15) Average 0.3 11 Above average 0.3 40 Strong 0.2 65 1.0 Assume the risk-free rate is 4%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: % Coefficient of variation: Sharpe ratio:
Stocks A and B have the following probability distributions of expected future returns: a. Calculate the expected rate of return, B, for Stock B (A = 12.50%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 20.90%.) 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? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. II. 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. III. If Stock B is less highly correlated with…
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:
If a stock's expected return plots on or above the SML, then the stock's return is SML, the stock's return is to compensate the investor for risk. cent to compensate the investor for risk. If a stock's expected return plots below the The SML line can change due to expected Inflation and risk aversion. If inflation changes, then the SML plotted on a graph will shift up or down parallel to the old SML. If risk aversion changes, then the SML plotted on a graph will rotate up or down becoming more or less steep if investors become more or less risk averse. A firm can influence market risk (hence its beta coefficient) through changes in the composition of its assets and through changes in the amount of debt it uses. Quantitative Problem: You are given the following information for Wine and Cork Enterprises (WCE): Tar 4%; 10 % ; RPM 6%, and beta - 1.1 What is WCE's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. -75 % If inflation…
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…

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