You are given the following information:Probability ofState ofEconomyReturn onReturn onState ofStock JStock KEconomyBear.28-.023.031NormalBull.63.135.059.09.215.089a. Calculate the expected return for each of the stocks. (Do not round intermediatecalculations 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 intermediatecalculations 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 roundintermediate calculations and round your answer to 6 decimal places, e.g.,.321616.)d. What is the correlation between the returns of the two stocks? (Do not roundintermediate calculations and round your answer to 4 decimal places, e.g., .3216.)a.Stock J expected return9.80 %Stock K expected return5.39%b. Stock J standard deviationStock K standard deviationc. Covariance7.87%1.66%0.001258d.Correlation0.9629

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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 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
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…
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…
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 following information: a. Calculate the expected return for the two stocks. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. b. Calculate the standard deviation for the two stocks. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.
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 given the following information: State of Economy Bear Normal Bull Return on Stock A a. Stock A Stock B b. Stock A Stock B 114 103 085 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 decimal places, e.g., .1616.) Return on Stock B C.…
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…
You are given the returns for the following three stocks: Stock B Stock C Stock A 14.00% 14.00% -19.00% 14.00 14.00 34.00 14.00 22.00 37.00 14.00 14.00 14.00 4.00 Year 1 2 3 4 5 7.00 13.00 Calculate the arithmetic return, geometric return, and standard deviation for each stock. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Arithmetic return Standard deviation Geometric return Stock A 14.01 % 0.00 % 14.01 % Stock B 14.00 % 14.01 % Stock C 14.00 % 14.02 %
The following table represents the rate of returns of two stocks in different economic conditions along with their probabilities (the data are also uploaded on moodle) RATES OF RETURN ON STOCKS EXPECTED ECONOMIC PROBABILITY STOCK A STOCK B CONDITIONS RECESSION 0.55 -0.04 -0.02 STABLE 0.35 0.25 0.30 EXPANDING 0.10 0.15 0.20 Answer the following by using mathematical calculations: a) Calculate the expected rate of return for each stock respectively. Explain what the expected value implies. b) Calculate the standard deviation for each stock respectively. Explain what the standard deviation implies. c) If you were an investor in which stock you were going to invest? Justify your answer. d) Calculate the covariance between Stock A and stock B. Discuss. e) Calculate the expected return and the standard deviation of the portfolio consisting 40% in stock A and 60% in stock B. f) Discuss the risk and return associated with investing i All of your funds in stock A ii. All of your funds in stock…
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.)
Stocks A and B have the following returns: (Click on the folowing icon a in order to copy its contents into a spreadsheet.) Stock A Stock B 0.08 0.06 0.15 0.05 0.04 0.05 0.01 -0.01 0.09 -0.03 a. What are the expected roturns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 048, what is the expected return and standard deviation of a portfolio of 75% stock A and 25% stock B? a. What are the expected returns of the two stocks? The expected return for stock A is (Round to three decimal places.)

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