Consider the following information for stocks A, B, and C. The returns on the three stocks are 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 Beta A 7.65% 14% 0.7 B 9.45 14 1.1 11.70 14 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 4.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (rM - TRE)? Round your answer to one decimal place. 34.2 8 % b. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. 0.54 8 c. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. 1.62 % d. What would you expect the standard deviation of Fund P to be? I. Less than 14% II. Greater than 14% III. Equal to 14%

Consider the following information for stocks A, B, and C. The returns on the three stocks are 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 Beta A 7.65% 14% 0.7 B 9.45 14 1.1 11.70 14 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 4.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (rM - TRE)? Round your answer to one decimal place. 34.2 8 % b. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. 0.54 8 c. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. 1.62 % d. What would you expect the standard deviation of Fund P to be? I. Less than 14% II. Greater than 14% III. Equal to 14%

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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Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
Consider the following information for stocks A, B, and C. The returns on the three stocks are 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 Beta A 6.95% 15% 0.7 B 8.35 15 1.1 C 10.45 15 1.7 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 4.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) What is the market risk premium (rM - rRF)? Round your answer to one decimal place. % What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. % What would you expect the standard deviation of Fund P to be? Less than 15% Greater than 15% Equal to 15%
Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk-free return during the sample period was 4%. Guardian Market Portfolio Average return 14 % 10 % Standard deviation of returns 27 % 21 % Beta 1.5 1 Residual standard deviation 4 % 0 % Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.)
Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk- free return during the sample period was 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% 1.2 0.60 X 4% Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) Answer is complete but not entirely correct. Information ratio Market Portfolio 10% 21% 1 0%
Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk- free return during the sample period was 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% 1.2 (0.80) 4% X Answer is complete but not entirely correct. Information ratio Market Portfolio Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) 10% 21% 1 0%
1. The following table presents the expected returns of three stocks and the risk free rate. в 4% Stock A 8% Expected return What is the expected return and risk on an equally weighted portfolio composed of these four assets? The standard deviation of stock A is 10% and the covariance between A and B equals 0.0045. The correlation matrix between A, B and C is: 14% 4% Correl B A 1 0.3 0.7 B 0.3 0.5 0.5 Combining stocks A and C in a portfolio in equal proportions will result in a variance of 1.95%. 0.7
Stock Y has a beta of 0.9 and an expected return of 9.46 percent. Stock Z has a beta of 2.1 and an expected return of 15.59 percent. What would the risk-free rate (in percent) have to be for the two stocks to be correctly priced relative to each other? Answer to two decimals.
Stock Y has a beta of 1.4 and an expected return of 15.1 percent. Stock Z has a beta of .7 and an expected return of 8.6 percent. If the risk-free rate is 5 percent and the market risk premium is 6.5 percent, the reward-to-risk ratios for Stocks Y and Z are the SML reward-to-risk is percent, Stock Y is and percent, respectively. Since and Stock Z is (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
Now it's time for you to practice what you've learned. 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 3.50%. Stock Expected Return A B C 8.30% 10.70% 13.10% Standard Deviation Beta 1.2 20% 20% 20% The beta for Fund P is approximately 1.8 2.4 Let 7; be the expected return of stock i, TRP 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 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…
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
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…
Consider the following information for stocks A, B, and C. The returns on the three stocks are 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 Beta 16% 0.8 B 16 1.2 с 8.50 16 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 4.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (re-ra)? Round your answer to one decimal place. b. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. c. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. % d. What would you expect the standard deviation of Fund P to be? 1. Less than 16% II. Greater than 16% III. Equal to 16% -Select- 6.50% 7.50

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