The following are estimates for two stocks. Firm- Specific Expected Standard Stock Return Beta Deviation AB 14% 0.90 30% 21 1.40 42 The market index has a standard deviation of 20% and the risk-free rate is 7%. Required: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Stock A Stock B 0.30 0.45 0.25 T-bills Compute the expected return, beta, nonsystematic standard deviation, and standard devia

The following are estimates for two stocks. Firm- Specific Expected Standard Stock Return Beta Deviation AB 14% 0.90 30% 21 1.40 42 The market index has a standard deviation of 20% and the risk-free rate is 7%. Required: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Stock A Stock B 0.30 0.45 0.25 T-bills Compute the expected return, beta, nonsystematic standard deviation, and standard devia

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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*Stock A has a beta of 1.3 and an expected return of 10.2. Stock B has a beta of 0.8 and an expected return of 8.7. If these stocks are priced correctly according to the CAPM, what is the risk-free rate? Give your answer in percentage to the nearest basis point.
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.60% + 0.90RM + eA RB = -2.00% + 1.20RM + eB OM = 26%; R-squarea = 0.21; R-squareg = 0.12 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B.
Give typing answer with explanation and conclusion the expected return on stock A is 11.35%. the expected return on stock B is 8.7%. assuming CAPM holds, if the beta of stock A is higher than the beta of stock B by 0.17, what should the risk premium be?
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.5% + 0.60RM + eA RB = –1.5% + 0.70RM + eB σM = 19%; R-squareA = 0.24; R-squareB = 0.18 Assume you create a portfolio Q, with investment proportions of 0.40 in a risky portfolio P, 0.35 in the market index, and 0.25 in T-bill. Portfolio P is composed of 70% Stock A and 30% Stock B. a. What is the standard deviation of portfolio Q? (Calculate using numbers in decimal form, not percentages. Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What is the beta of portfolio Q? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What is the "firm-specific" risk of portfolio Q? (Calculate using numbers in decimal form, not percentages. Do not round intermediate calculations. Round your answer to 4 decimal places.) d. What is the covariance between the portfolio and the market index? (Calculate using…
Stock A and B have the following probability distributions of expected future returns: Probability A B 0.1 (20%) (46%) 0.2 7 0 0.4 15 15 0.2 23 30 0.1 47 50 What is the expected rate of return for Stock A? What is the standard deviation of returns for Stock B?
Below are standard deviations of four stocks: M, N, O and P. Stock M N O P Standard deviation 12% 20% 15% 30% 1. Which stock is the riskest? 2. Based on the risk-return tradeoff, which stock should provide the highest 3. If stock O provides a higher return than stock P, what should happen?
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…
2. Consider stocks A and B with the following monthly returns: Stock 1 2 3 4 A -2% 3% 1% 6% 4% B 1% -2% 4% 5% 3% a. What is the expected return and risk of a portfolio composed of 30% A and 70% B? b. What is the contribution of each stock to portfolio's return and risk? c. What is the structure of the minimum risk portfolio? Compute its expected return and risk.
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%
Find the Risk-Free Rate given the Expected Return on Stock Y is 20 %, the Expected Return on Market Portfolio is 24 % and Beta for Stock Y is 0.8. Select one: O a. 5% O b. None O c. 6% O d. 4% O e. 7%
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