Consider the following information on Stocks I and II: Probability of State of Economy .28 .63 .09 State of Economy Recession Normal Irrational exuberance a. Beta Standard deviation The market risk premium is 11.3 percent, and the risk-free rate is 4.3 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"? b. Beta Rate of Return if State Occurs Stock I Stock II Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock .035 .335 .195 % -.23 .15 .43 %

Consider the following information on Stocks I and II: Probability of State of Economy .28 .63 .09 State of Economy Recession Normal Irrational exuberance a. Beta Standard deviation The market risk premium is 11.3 percent, and the risk-free rate is 4.3 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"? b. Beta Rate of Return if State Occurs Stock I Stock II Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock .035 .335 .195 % -.23 .15 .43 %

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.)
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…
Compute the abnormal rates of return for the following stocks during period t (ignore differential systematic risk): Stock % % % % BFT % B F T UE Rit = return for stock i during period t Rmt = return for the aggregate market during period t Use a minus sign to enter negative values, if any. Round your answers to one decimal place. ARBE: ARF: ARTI: ARC: AREL: с Rit 11.5% 9.2 12.5 12.5 15.9 Rmt 4.7% 6.2 6.6 15.2 11.1
Consider the following information about Stocks I and ll: Rate of Return If State Occurs Probability of State of- Economy .15 State of Economy Stock I Stock II Recession .05 -.21 Normal .70 .18 .10 Irrational exuberance .15 .07 .39 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. (Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16.) The standard deviation on Stock l's return is percent, and the Stock I beta is The standard deviation on Stock Il's return is percent, and the Stock II beta is Therefore, based on the stock's systematic risk/beta, Stock is riskier.
Consider the following information about Stocks I and II: Rate of Return if State Occurs Probability of State of State of Economy Recession Economy Stock I Stock Il .25 .06 -.30 Normal .45 .18 .06 Irrational exuberance .30 .12 .45 The market risk premium is 8 percent, and the risk-free rate is 6 percent. (Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16.) The standard deviation on Stock I's return is deviation on Stock II's return is stock's systematic risk/beta, Stock percent, and the Stock I beta is percent, and the Stock II beta is . The standar Therefore, based on the is "riskier".
Consider the following information on Stocks I and II: Probability of Rate of Return if State Occurs State of Economy State of Economy Stock I Stock II Recession Normal .24 .59 .030 -.34 .340 .26 Irrational .17 .200 .44 exuberance The market risk premium is 11.4 percent, and the risk-free rate is 4.4 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
Exercises: a. The standard deviation of returns is 0.30 for Stock A and 0.20 for Stock B. The covariance between the returns of A and B is 0.006. The correlation of returns between A and B is: b. Explain the differences between systemic risk and unsystematic risk, give additional examples c. Compare and contrast the Capital Market Line and Security Market Line d. The covariance of the market's returns with the stock's returns is 0.008. The standard deviation of the market's returns is 0.08, and the standard deviation of the stock's returns is 0. 11. What is the correlation coefficient of the returns of the stock and the returns of the market? e. According to the CAPM, what is the required rate of return for a stock with a beta of 0.7, when the risk-free rate is 7% and the expected market rate of return is 14%
a. Calculate the expected return for Stock media Prima and Stock Astro 2. Calculate the standard deviation for Stock media Prima and Stock Astro 3. Calculate the covariance and correlation of coefficient for the above stock.
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.
Consider the following information about Stocks I and II: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock I Stock II Recession .20 .05 −.22 Normal .55 .20 .09 Irrational exuberance .25 .08 .42 The market risk premium is 8 percent, and the risk-free rate is 6 percent. (Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16.)
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
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%.

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