You have been given this probability distribution for the holding-period return for a stock: Stock of the Economy Probability HPR Boom 0.40 22 % Normal growth 0.35 11 % Recession 0.25 – 9 % What is the expected standard deviation for the stock? Multiple Choice 7.04% None of the options are correct. 2.07% 9.96% 1.44%

You have been given this probability distribution for the holding-period return for a stock: Stock of the Economy Probability HPR Boom 0.40 22 % Normal growth 0.35 11 % Recession 0.25 – 9 % What is the expected standard deviation for the stock? Multiple Choice 7.04% None of the options are correct. 2.07% 9.96% 1.44%

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 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 % %
2. Based on the following information calculate the expected return and standard deviation for the two stocks: State of economy Probability of state of economy Rate of return if state occur Stock A Stock B -.17 .12 .29 Recession Normal Boom 3. How should the price of a stock change when it goes ex-dividend? 4. Suppose stock in Gamma Air Freight has a beta of 1.25. the market risk premium is 7% and the risk free rate is 6%. Alpha's last dividend was $2 per share and the dividend is expected to grow at 8% indefinitely. The stock currently sells for $30. What is Gamma's cost of equity capital? .05 .65 .30 .05 .08 .13
Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession Probability Ending Price 0.21 $ 140 0.30 110 0.49 80 Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) - E(r)]² to compute the mean and standard deviation of the HPR on S S HPR (including dividends) 50.5% 18.0 -12.5 stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Mean Standard deviation Answer is complete but not entirely correct. 13.65 % 20.48 %
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Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance. Probability of State) of Econony 15 .70 .15 a. Stock I beta Stock Il beta. b. Stock I standard deviation Stock Il standard deviation Rate of Return if State Occurs. Stock I Stock II 05 18 07 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. a. Calculate the beta of each stock. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b. Calculate the standard deviation of each stock. c. More systematic nsk d. More unsystematic risk e. "Riskier stock Note: Do not round intermediate calculations and enter your answers as a percent rounded 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 "riskler"? -.21 .10 39 % %
Intro We know the following expected returns for stocks A and B, given different states of the economy: State (s) Probability E(rA.s) E(rB,s) -0.1 0.04 0.08 0.05 0.13 0.07 Recession 0.2 Normal 0.5 Expansion 0.3 Part 1 What is the expected return for stock A? 3+ decimals Submit
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (7 %) (26 %) 0.1 3 0 0.5 14 22 0.2 20 26 0.1 36 50 Calculate the expected rate of return, , for Stock B ( = 14.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.68%.) 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? 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. If Stock B is more highly correlated with the market than A, then it might have a higher…
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Read the information for 3 stocks X, Y and Z below. Rate of return when state occurs (For Stock X, Y, and Z) State of Economy Probability of State Stock X Stock Y Stock Z Boom 0.3 0.4 0.45 0.6 Normal 0.5 0.2 0.15 0.08 Recession 0.2 0 -0.3 -0.4 If your portfolio includes 35 percent of X, 40 percent of Y and 25 percent of Z, answerthe following questions: (a) Calculate the portfolio expected return.(b) Calculate the variance and the standard deviation of the portfolio (c) If the expected T-bill rate is 3.80 percent, calculate the expected risk premiumon the portfolio.
Consider the following information: State Probability Stock A Stock B Stock C Boom 0.32 0.17 -0.11 -0.06 Bust 0.68 -0.03 -0.01 0.23 What is the expected return of a portfolio that has invested $16,157 in Stock A, $19,654 in Stock B, and $9,659 in Stock C? (Hint: calculate weights of each stock first). Enter the answer with 4 decimals (e.g. 0.1234).
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