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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Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Recession 21 .06 21 Normal 58 109 08 Boom 21 14 25 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 Intermedlate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation 196 96 96 %
A stock's return has the following distribution: Demand for theCompany's Products Probability of ThisDemand Occurring Rate of Return if ThisDemand Occurs (%) Weak 0.1 -20 % Below average 0.2 -8 Average 0.4 17 Above average 0.2 35 Strong 0.1 65 1.0 Calculate the stock’s expected return and standard deviation. Do not round intermediate calculations. Round your answers to two decimal places. Expected return: % Standard deviation: %
Consider the following information: State of Economy Recession. Normal Boom Probability of State of Economy .17 .58 .25 Rate of Return if State Occurs Stock A Stock B .08 -.12 11 .17 .34 a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation 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.) .16 Answer is complete but not entirely correct. 9.86 % 21.46 % 7.70 % 9.50 %
b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.
Suppose you observe the following situation: State of Economy Bust Normal Boom Probability of State .20 .60 .20 Return if State Occurs Stock B -.04 .15 .30 a. Stock A a. Stock B b. Expected market risk premium Stock A -.06 .15 .50 a. Calculate the expected return on each stock. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Assuming the capital asset pricing model holds and Stock A's beta is greater than Stock B's beta by .47, what is the expected market risk premium? (Do 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 concerning a stock and the market: Returns Year Market Stock 2014 10 % 25 % 2015 12 28 2016 13 4 2017 −14 −22 2018 37 16 2019 15 23 a. Calculate the average return and standard deviation for the market and the stock. (Use Excel to complete the problem. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) b. Calculate the correlation between the stock and the market, as well as the stock’s beta. (Use Excel to complete the problem. Do not round intermediate calculations. Round your correlation answer to 2 decimal places and beta answer to 4 decimal places.)
Consider the following information: Stock Return if Market Return Is: Stock –13% 10% A 0 14 B –5 21 C –25 36 D 10 8 E 15 -10 What is the beta of each of the stocks? (Leave no cells blank - be certain to enter "0" wherever required. Use decimals, not percents, in your calculations. A negative value should be indicated by a minus sign. Round your answers to 1 decimal place.) Stock Beta A B C D E
Consider the following information on Stocks I and II: Probability of State of Economy State of Economy Rate of Return if State Occurs Stock I Stock II Recession .22 .045 -.37 Normal .62 .355 .29 Irrational .16 exuberance .215 .47 The market risk premium is 11.7 percent, and the risk-free rate is 4.7 percent. a. Calculate the beta and standard deviation of Stock I. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. b. Calculate the beta and standard deviation of Stock II. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskier"? a. Beta Standard deviation b. Beta Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock 1.94 % %
Compute the abnormal rates of return for the following stocks assuming the following systematic risk measures (betas): Rit = return for stock i during period t Rmt = return for the aggregate market during period t Bi = beta for stock i Use a minus sign to enter negative values, if any. Round your answers to one decimal place. ARBt: ARFt: ARTt: ARct: ARET: % % % % Stock B F T C E % Rit 10.1% 9.4 13.2 11.2 15.1 Rmt 3.9% 8.5 10.0 15.6 11.2 Bi 1.00 1.10 1.45 0.65 -0.40
What is the reward-to-risk ratio for Stock X, in decimal form? Round your answer to 4 decimal places (example: if your answer is .03579, you should enter .0358). Margin of error for correct responses: +/- .0005. expected return (implied by market price) Beta Stock X 9.6% 1.46 S&P500 12% ? T-bills 4% ?
Am. 132.
Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 (15%) (31%) 0.1 5 0 0.6 15 18 0.1 0.1 22 31 30 49 a. Calculate the expected rate of return, B, for Stock B (A = 13.30%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 19.42%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. 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? I. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in…

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