Given: E(R₁) = 0.13 E(R2) = 0.19 E(01) = 0.03 E(02) = 0.04 Calculate the expected returns and expected standard deviations of a two-stock portfolio in which Stock 1 has a weight of 40 percent under the conditions given below. Do not round intermediate calculations Round your answers for the expected returns of a two-stock portfolio to three decimal places and answers for expected standard deviations of a two-stock portfolio to four decimal places. a. 1,2 = 1.00 Expected return of a two-stock portfolio: 0.1280 0.0280 Expected standard deviation of a two-stock portfolio: b. 1,2 = 0.80 Expected return of a two-stock portfolio: 0.1280 0.0266 Expected standard deviation of a two-stock portfolio: c. 1,2 = 0.20 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: d. 1,2 = 0.00 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: e. 1,2 = -0.20 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: f. 1,2 = -0.80 Expected return of a two-stock portfolio:

Given: E(R₁) = 0.13 E(R2) = 0.19 E(01) = 0.03 E(02) = 0.04 Calculate the expected returns and expected standard deviations of a two-stock portfolio in which Stock 1 has a weight of 40 percent under the conditions given below. Do not round intermediate calculations Round your answers for the expected returns of a two-stock portfolio to three decimal places and answers for expected standard deviations of a two-stock portfolio to four decimal places. a. 1,2 = 1.00 Expected return of a two-stock portfolio: 0.1280 0.0280 Expected standard deviation of a two-stock portfolio: b. 1,2 = 0.80 Expected return of a two-stock portfolio: 0.1280 0.0266 Expected standard deviation of a two-stock portfolio: c. 1,2 = 0.20 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: d. 1,2 = 0.00 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: e. 1,2 = -0.20 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: f. 1,2 = -0.80 Expected return of a two-stock portfolio:

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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Given: E(R₁) = 0.06 E(R₂) = 0.13 E(01) = 0.04 E(0₂) = 0.06 Calculate the expected returns and expected standard deviations of a two-stock portfolio in which Stock 1 has a weight of 40 percent under the conditions given below. Do not round intermediate calculations. Round your answers for the expected returns of a two-stock portfolio to three decimal places and answers for expected standard deviations of a two-stock portfolio to four decimal places. a. 1,2 = 1.00 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: b. r1,2 = 0.75 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: C. 1,2 = 0.25 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: d. r1,2 = 0.00 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock portfolio: e. 1,2 = -0.25 Expected return of a two-stock portfolio: Expected standard deviation of a two-stock…
Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, đA = .362, and Og = .622. %3D Calculate the expected return of a portfolio that is composed of 37 percent A and 63 percent B when the correlation between the returns on A and B is .52. (Do not a-1. round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in h part (a) when the correlation coefficient between the returns on A and B is -.52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-1.…
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.2% + 1.10RM + eA RB = –1.4% + 1.2RM + eB σM = 30%; R-squareA = 0.28; R-squareB = 0.12 What is the standard deviation of each stock? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
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.
Given the returns and probabilities for the three possible states listed below, calculate the covariance between the returns of Stock A and Stock B. For convenience, assume that the expected returns of Stock A and Stock B are 8.10 percent and 11.60 percent, respectively. (Round answer to 4 decimal places, e.g. 0.0768.) Good OK Poor Covariance Probability 0.22 0.60 0.18 Return on Stock A 0.30 0.10 -0.25 Return on Stock B 0.50 0.10 -0.30
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.0%+ 0.40RM + eA RB = -1.8% + 0.9RM + eB OM 15%; R-squareд = 0.30; R-square= 0.22 = What is the standard deviation of each stock? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Stock A Stock B Standard Deviation % %
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 0.03 + 0.7 RM + eA RB = -0.02+ 1.2 RM + eB σM =0.20; R-square A = 0.25 R-square B = 0.20 What is the standard deviation of A & B, respectively? Group of answer choices 0.54, 0.28 0.28, 0.54 0.45, 0.50 0.50, 0.45
Consider the following information: a. Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
You are considering two stocks and have determined the following information: Stock A The return on Stock A: The return on Stock B: Standard deviation of Stock A: Standard deviation of Stock B: a. Which of the two stocks has the higher expected return? Round your answers to two decimal places. % Stock B % -Select- Return 30% 16 13 Return 35% 12 9 -Select- ✓has the higher expected return. b. Which stock is riskier? Do not round intermediate calculations. Round your answers to two decimal places. -Select- ✓is riskier. c. Given your answers to the two previous questions, what stock is preferred? ✓is preferred. Probability of the Return 25% 55 20 Probability of the Return 30% 20 50
Stocks A and B have the following probability distributions of expected future returns: a. Calculate the expected rate of return, TB, for Stock B (A = 13.80%.) Do not round intermediate calculations. Round your answer to two decimal places. % Probability 0.1 0.1 0.5 0.2 0.1 b. Calculate the standard deviation of expected returns, JA, for Stock A (OB = 20.40%.) Do not round intermediate calculations. Round your answer to two decimal places. % -Select- A (11%) 6 13 20 38 Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. B (34%) 0 24 30 44 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 lower beta than Stock A, and hence be less risky in a portfolio sense. II. 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…
Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 0.2 0.5 0.1 0.1 A (5%) 2 Stock B 14 24 39 (40%) 0 24 30 42 a. Calculate the expected rate of return, Fa, for Stock B (FA-13.20%) Do not round intermediate calculations. Round your answer to two decimal places. b. Calculate the standard deviation of expected returns, da, for Stock A (de-21.99 %) Do not round intermediate calculations. Round your answer to two decimal places. Now calculate the coefficient of variation for Stock 8. 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? 1. If Stock Bis 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. 11. 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 less risky…
Stocks A and B have the following probability distributions of expected future returns: Probability B 0.1 (31%) 0.1 0 0.6 23 0.1 26 0.1 44 a. Calculate the expected rate of return, B, for Stock B (A = 14.20%.) Do not round intermediate calculations. Round your answer to two decimal places. 17.7 % b. Calculate the standard deviation of expected returns, GA, for Stock A (OB = 19.01%.) Do not round intermediate calculations. Round your answer to two decimal places. % A (6%) 5 14 20 39 Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. 1.07 IV 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 higher 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 a lower beta than Stock A, and hence…

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