To achieve a zero standard deviation for a portfolio, calculate the weights of stock A and stock B, assuming the correlation coefficient is-1. Use the following information. (Round intermediate calculations and final answers to 2 decimal places, e.g. 31.21%.) State of the economy Probability of Expected return on Expected return on occurrence stock A in this state stock B in this state High growth 30% 42.5% 57.5% Moderate growth 25% 22.5% 27.5% Recession 45% -12.5% -22.5% Weight of stock A % % Weight of stock B

To achieve a zero standard deviation for a portfolio, calculate the weights of stock A and stock B, assuming the correlation coefficient is-1. Use the following information. (Round intermediate calculations and final answers to 2 decimal places, e.g. 31.21%.) State of the economy Probability of Expected return on Expected return on occurrence stock A in this state stock B in this state High growth 30% 42.5% 57.5% Moderate growth 25% 22.5% 27.5% Recession 45% -12.5% -22.5% Weight of stock A % % Weight of stock B

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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To achieve a zero standard deviation for a portfolio, calculate the weights of stock A and stock B, assuming the correlation coefficient is-1. Use the following information. (Round intermediate calculations and final answers to 2 decimal places, eg. 31.21%) State of the economy High growth Moderate growth Recession Weight of stock A Weight of stock B Probability of occurrence 25% 20% 55% Expected return on stock A in this state 41.5% 21.0% -8.0% % Expected return on stock B in this state 56.5% 27.0% -17.0%
Current Attempt in Progress To achieve a zero standard deviation for a portfolio, calculate the weights of stock A and stock B, assuming the correlation coefficient is-1. Use the following information. (Round intermediate calculations and final answers to 2 decimal places, e.g. 31.21%.) State of the economy Probability of Expected return on Expected return on occurrence stock A in this state stock B in this state High growth 30% 41.5% 56.5% Moderate growth 25% 21.5% 26.5% Recession 45% -11.5% -21.5% Weight of stock A % Weight of stock B %
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA - 2.60 + 0.90RM + CA Rg- -2.00 + 1.20RM + eg OM- 26, R-equarea 0.21; R-squaren 0.12 Assume you create portfolio Pwith investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfollo? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Standard deviation b. What is the beta of your portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Portfolio beta c. What is the firm-specific variance of your portfolio? (Do not round your intermediate calculations. Round your answer to 4 decimal places.) Firm-specific
In the CML graph below, MVE refers to the market portfolio, and A, B, C are three stocks. Assume that all assets are priced correctly under the CAPM. What is the beta and systematic variance of stock B? Expected Return [E] 35% 30% 25% 20% 15% 10% 5% OE. 0% 0% Select one: O A. 1, 0.04 O B. 1, 0.16 O C. O D. 10% MVE CML (Capital Market Line) 20% A 30% Standard Deviation [SD(r)] 1.5, 0.09 1, 0.4 Cannot be determined from the information given C B 40% 50% 60%
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
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
Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.
The index model has been estimated using historical excess return data for stocks A, B, and C, with the following results: RA = 0.02 + 0.9RM + eA RB = 0.04 + 1.2RM + eB RC = 0.10 + 1.ORM + eC OM oM = 0.22 o(eA) = 0.21 o(eB ) = 0.11 o(eC ) = 0.23 a. What are the standard deviations of stocks A, B, and C? b. Break down the variances of stocks A, B, and C into their systematic and firm-specific components. c. What is the covariance between the returns on each pair of stocks? d. What is the covariance between each stock and the market index?
Consider the two (excess return) index model regression results for A and B: RA = 0.8% + 1RM R-square = 0.588 Residual standard deviation = 10.8% RB = –1.2% + 0.7RM R-square = 0.452 Residual standard deviation = 9% a. Which stock has more firm-specific risk? A. Stock A B. Stock B Which stock has greater market risk? A. Stock A B. Stock B b. For which stock does market movement has a greater fraction of return variability? A. Stock A B. Stock B c. If rf were constant at 4.5% and the regression had been run using total rather than excess returns, what would have been the regression intercept for stock A? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
Calculate the standard deviation of a portfolio with 0.24 invested in Asset A, 0.33 invested in Asset B, and the rest invested in Asset C. Express your answer as a decimal with four digits after the decimal point (e.g., 0.1234, not 12,34%). Std Dev(A) = 0.43, Std Devirg) = 0.67. Std Dev(rc)=0.53 Correlation(A) =-0.24, Correlation(Arc)-0.32, Correlationirere)=0.09 Type your answer.....
Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, OA = .362, and og = .622. Calculate the expected return of a portfolio that is composed of 37 percent A and а-1. 63 percent B when the correlation 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.) 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 part (a) when the correlation coefficient between the returns on A and B is -.52. (Do b. not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…

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