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

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

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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Astromet is financed entirely by common stock and has a beta of 1.20. The firm pays no taxes. The stock has a price-earnings multiple of 11.0 and is priced to offer a 10.9% expected return. The company decides to repurchase half the common stock and substitute an equal value of debt. Assume that the debt yields a risk-free 4.6%. Calculate the following: Required: a. The beta of the common stock after the refinancing b. The required return and risk premium on the common stock before the refinancing c. The required return and risk premium on the common stock after the refinancing d. The required return on the debt e. The required return on the company (i.e, stock and debt combined) after the refinancing If EBIT remains constant: f. What is the percentage increase in earnings per share after the refinancing? g-1. What is the new price-earnings multiple? g-2. Has anything happened to the stock price? Complete this question by entering your answers in the tabs below. Reg A to E Reg F to G2…
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.
You are given the following information: State ofEconomy Return onStock A Return onStock B Bear .112 −.055 Normal .105 .158 Bull .083 .243 Assume each state of the economy is equally likely to happen. a. Calculate the expected return of each stock. (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 of each stock. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What is the covariance between the returns of the two stocks? (A negative answer should be indicated by a minus sign, Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (A negative answer should be indicated by a minus sign, Do not round intermediate calculations and round your answer to 4…
Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.030.024 Normal .55.128.052 Bull .25 .208.082 a. Calculate the expected return for each of the stocks. (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 each of the stocks. ( Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g , 32.16.) c. What is the covariance between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)
What is the standard deviation of Stock B returns given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234"
What are the expected returns of stock "A" and "B"? Enter your answers as a percentage. Do not put the percent sign in your answers. Round your answers to 2 DECIMAL PLACES.\\n \\nE(ra)= \\nCorrect response: 4.52\\\\pm 0.01\\nE(rb)= \\nCorrect response: 6.04\\\\pm 0.01\\n \\nClick "Verify" to proceed to the next part of the question.\\nThis questions has 4 parts (i.e., you will be clicking "Verify" 4 times)\\n \\n \\n \\n\\n \\n \\nWhat are the standard deviations of stocks "A" and "B"? Enter your answers as a percentage. Do not put the percent sign in your answers. Round your answers to 2 DECIMAL PLACES.\\n \\nSDa= \\nCorrect response: 8.49\\\\pm 0.01\\nSDb= \\nCorrect response: 13.06\\\\pm 0.01\\n \\nClick "Verify" to proceed to the next part of the question.\\n \\n \\n \\n \\n \\n \\nWhat is the expected return of the portfolio? Enter your answer as a percentage. Do not put the percent sign in your answer. Round your answer to 2 DECIMAL PLACES.\\n \\nE(rp)= \\n \\nClick…
Consider the probability distribution p(s) of the returns rA and rB of two securities A and B: state p(s) rA rB роог 0.2 0.1 0.16 medium 0.5 0.2 0.1 доod 0.3 0.3 0.05 Calculate the covariance oAB between rA and rB. The correct answer (up to four decimals is) Select one: GAB = 0.0013 GAB = -0.0027 GAB = -0.0102 None of the above
What is the expected return of Stock B given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234"
Given the re-stated information below (and expected returns you should have already calculated), what is the correlation between Stock A and B returns? Enter correlation rounded to 4th digit, as in "0.1234"
The index model has been estimated for stocks A and B with the following results: RA = 0.12 + 0.610RM + eA RB = 0.04 + 1.416RM + eB σM = 0.270 σ(eA) = 0.20 σ(eB) = 0.10 What is the covariance between each stock and the market index?
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.8% + 1.25RM + eA RB = –1.8% + 1.60RM + eB σM = 18%; R-squareA = 0.24; R-squareB = 0.18 What are the covariance and correlation coefficient between the two stocks? (Do not round intermediate calculations. Calculate using numbers in decimal form, not percentages. Round your answers to 4 decimal places.)
You are given the following information: Return on State of Economy Stock A Bear Normal Bull Return on Stock B 111 -.054 157 106 .082 242 Assume each state of the economy is equally likely to happen. a. Calculate the expected return of each stock. (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 of each stock. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What is the covariance between the returns of the two stocks? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .321616.) d. What is the correlation between the returns of the two stocks? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .3216.) a. Stock A expected return…

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