You are given the following information:Return onState ofEconomy Stock ABearNormalBullReturn onStock B111-.054157106.082242Assume each state of the economy is equally likely to happen.a. Calculate the expected return of each stock. (Do not round intermediate calculationsand 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 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? (A negative answershould be indicated by a minus sign. Do not round intermediate calculations andround your answer to 6 decimal places, e.g., .321616.)d. What is the correlation between the returns of the two stocks? (A negative answershould be indicated by a minus sign. Do not round intermediate calculations andround your answer to 4 decimal places, e.g., .3216.)a.Stock A expected returnStock B expected returnb. Stock A standard deviation%Stock B standard deviationc. Covarianced. Correlation

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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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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.)
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.…
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% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?
Consider the following information: Rate of Return If State Occurs State of Probability of State of Economy Stock A Economy Stock B Recession .15 .06 - 10 Normal .56 .09 .19 Вoom .29 .14 .36 . 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.) . 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.) Stock A expected return % Stock B expected return % Stock A standard deviation % Stock B standard deviation %
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.35 0.06 -0.15 Normal 0.40 0.09 0.16 Boom 0.25 0.13 0.36 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. Calculate the standard deviation for the two stocks. Note: Do not round your intermediate calculations. Enter your answers as a percent rounded to 2 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
The market and Stock J have the following probability distributions: Probability rM rJ 0.3 14 % 18 % 0.4 10 4 0.3 18 13 Calculate the expected rates of return for the market and Stock J. Round your answers to one decimal place. Expected rate of return (Market): % Expected rate of return (Stock J): % Calculate the standard deviations for the market and Stock J. Do not round intermediate calculations. Round your answers to two decimal places. Standard deviation (Market): % Standard deviation (Stock J): %
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.6% + 1.2RM + eA RB = -1.6% + 1.5RM + eB OM = 16%; R-squarea = 0.25; R-square; = 0.15 What is the covariance between each stock and the market index? (Calculate using numbers in decimal form, not percentages. Do not round your intermediate calculations. Round your answers to 3 decimal places.) Covariance Stock A Stock B
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 % + 1.25RM + eB OM= 30%; R-squareд = 0.28; R-squareg = 0.12 What is the covariance between each stock and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round your intermediate calculations. Round your answers to nearest whole number. Answer is complete but not entirely correct. Stock A Stock B Covariance 93 x 101 x
S Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.6% + 1.20RM + eA RB = -1.6% + 1.5RM + eB OM = 16%; R-squareд = 0.25; R-squareg = 0.15 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 % %
(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.25 0,50 0.25 Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a apreadsheet) Common Stock B Return 10% 17% 18% Return -4% 7% 13% 20% G a. Given the information in the table, the expected rate of return for stock A is 15.5% (Round to two decimal places) The standard deviation of stock A is (Round to two decimal places.)
You have been given the following information: Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stock B Recession .25 .06 − .20 Normal .55 .07 .13 Boom .20 .11 .33 a. Calculate the expected return for the two 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 the two stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

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