The following is the expected returns and probability information for three stocks and the market. State of Probability the of State Economy Occurring Boom Normal Recession Return Risk Beta 0.3 0.5 0.2 Stock A 10% 7% -8% 4.90% 6.58% Associated Rate of Return Stock B 35% 15% -25% 13.00% 20.88% Stock Stock Market C -8% 5% 15% 3.10% 8.19% -.7682 M 18% 10% -10% 2.119 a. Calculate the expected risk and return of the market portfolio. Calculate the beta of stock A. b. Create a portfolio where you invest $30,000 in stock A, $40,000 in stock B and $30,000 in stock C. Calculate the expected return and the risk associated with this portfolio. c. Calculate the beta of the portfolio you created in part b. d. Using only stock B and stock C, create a portfolio that is expected to earn a 25% rate of return. Calculate the expected risk associated with this portfolio. What is the beta of this portfolio?

The following is the expected returns and probability information for three stocks and the market. State of Probability the of State Economy Occurring Boom Normal Recession Return Risk Beta 0.3 0.5 0.2 Stock A 10% 7% -8% 4.90% 6.58% Associated Rate of Return Stock B 35% 15% -25% 13.00% 20.88% Stock Stock Market C -8% 5% 15% 3.10% 8.19% -.7682 M 18% 10% -10% 2.119 a. Calculate the expected risk and return of the market portfolio. Calculate the beta of stock A. b. Create a portfolio where you invest $30,000 in stock A, $40,000 in stock B and $30,000 in stock C. Calculate the expected return and the risk associated with this portfolio. c. Calculate the beta of the portfolio you created in part b. d. Using only stock B and stock C, create a portfolio that is expected to earn a 25% rate of return. Calculate the expected risk associated with this portfolio. What is the beta of this portfolio?

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: 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
What is the expected return of a portfolio consisting of $6,000 stocks G and $4,000 stock H ? State of Probability of Returns if State Occurs Economy State of Economy Stock G (" Stock H ")/(11%) Boom 22% 14% 1% Normal 78% 7% 9% a. 7.2% b. 7.6% c. $7.9% d. 8.3% e. $8.9% 33. Joel Foster is the portfolio manager of the SF Fund, a $1 million hedge fund that contains the following stocks. The required rate of return on the market is 10% and the risk-free rate is 4%. What rate of return should investors expect (and require) on this fund? Stoo Amount bar(A) 270,000 B 330,000 1.4 bar(C) 400,000 0.7 $1,000,000 a. 8.756% b. 9.382% c. 9.921%
Suppose you have predicted the following returns for stock C in three possible states of nature. What is the expected return of stock C? State Probability Return Boom 0.3 0.15 Normal 0.5 0.10 Recession 0.2 0.02
Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?
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).
Accounting Use the following information: Stock A B Good state 12% 17% Bad state 0% -1% Assume there is 60% probability that the good state occurs and 40% chance the bad state occurs. What is the expected return of a portfolio that is 9% invested in stock A and 1-9% invested in B? (Please use 5 decimal places, this should be written in percentage return, so an answer of 23.143% should be written at .23143)
Consider the following information: Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession .20 .010 −.35 Normal .55 .090 .25 Boom .25 .240 .48 Calculate the expected return for the two stocks. Calculate the standard deviation for the two stocks.
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession .17 .08 −.12 Normal .58 .11 .17 Boom .25 .16 .34 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.)
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 stock return scenarios for three stocks: Stock Stock A B Economy Up Average Down 8% 5% 0% 2% 3% 4% Stock с 12% 0% -5% If each state of the economy is equally likely, calculate the expected return and population standard deviation for a portfolio invested entirely in Stock A. Which stock should be added to the portfolio to reduce risk?

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