Ebenezer Scrooge has Invested 55% of his money in share A and the remainder in share B. He assesses their prospects as follows: Expected return (%) Standard deviation (X) Correlation between returns 15 22 a. What are the expected return and standard deviation of returns on his portfolio? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Expected return Standard deviation b. How would your answer change if the correlation coefficient were O or -0.40? (Do not round Intermedlate calculatlons. Enter your answers as a percent rounded to 2 decimal places.) Correlation Coefficient 0 Correlation Coefficient -0.40 Standard deviation c. Is Mr. Scrooge's portfollo better or worse than one Invested entirely in share A. or is it not possible to say? O Better O Worse O Not possible to say

Ebenezer Scrooge has Invested 55% of his money in share A and the remainder in share B. He assesses their prospects as follows: Expected return (%) Standard deviation (X) Correlation between returns 15 22 a. What are the expected return and standard deviation of returns on his portfolio? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Expected return Standard deviation b. How would your answer change if the correlation coefficient were O or -0.40? (Do not round Intermedlate calculatlons. Enter your answers as a percent rounded to 2 decimal places.) Correlation Coefficient 0 Correlation Coefficient -0.40 Standard deviation c. Is Mr. Scrooge's portfollo better or worse than one Invested entirely in share A. or is it not possible to say? O Better O Worse O Not possible to say

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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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.…
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 returm and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J 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 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 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 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…
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…
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.)
You are given the following information: Probability of State of Economy Return on Return on State of Stock J Stock K Economy Bear .28 -.023 .031 Normal Bull .63 .135 .059 .09 .215 .089 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., .321616.) 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., .3216.) a. Stock J expected return 9.80 % Stock K expected return 5.39% b. Stock J standard deviation Stock K standard deviation c.…
kindly be as detailed as possible with the calculations. Preferably in excel.
If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %
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…
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.)
An investor has a portfolio of two assets A and B. The details are shown in the below table. Portfolio Details Asset Expectedreturn Standarddeviation Covariance (A, B) Expected Portfolio Return A 0.06 0.5 0.12 0.1 B 0.08 0.8 Which one of the following statements is NOT correct? a. The portfolio weight in asset A is -100%. b. The correlation of asset A and B’s returns is 0.3. c. The investor can benefit from a fall in the price of asset A. d. The variance of the portfolio is 2.33. e. The order of short selling is borrowing, buying, selling, and returning.

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