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 14% 0.8 9.30% 10.35 12.10 14 14 1.1 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 6.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (x-x)? 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? -Select 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 14% 0.8 9.30% 10.35 12.10 14 14 1.1 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 6.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (x-x)? 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? -Select 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 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 11.45% 14% 0.9 B 12.55 14 1.1 C 15.30 14 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 6.5%, 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
Assume the CAPM holds and consider stock X, which has a return variance of 0.09 and a correlation of 0.75 with the market portfolio. The market portfolio's Sharpe ratio is 0.30 and the the risk-free rate is 5%. (a) What is Stock X's expected return? (b) What proportion of Stock X's return volatility (i.e. standard deviation) is priced by the market? Explain why this number is less than 1.
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%
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
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…
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
We know that two stocks A and B are correctly priced by the CAPM model. For A, the expected return is 12%, and the beta is 1.5; for B, the expected return is 6%, and the beta is 0.5. Based on this information, what is the risk free rate and expected market return? Select one: A. 3%; 9% B. 3%; 6% C. 2%; 8% D. 4%; 10%
Consider the following information for three stocks, 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.) Standard Deviation Stock Expected Return A 8.88% B с X 10.82 12.76 THATH 14% 14 14 Beta 0.8 1.2 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5%, and the market is in equilibrium. (That is, required returns equal expected returns.) The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below. 1.6 Open spreadsheet a. What is the market risk premium (H-AF)? Round your answer to two decimal places. 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…
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…
You have estimated the single index model (SIM) fund B and found that its alpha and beta are 0.035 and 1.1 respectively. The standard deviation of Fund B's excess returns is 30% and the market portfolio excess returns have a standard deviation of 20%. What's the information ratio of Fund B?
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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