State of Probability of State of Economy Economy 0.40 0.60 Bust Boom State of Economy Bust Boom Calculate the expected return on a portfolio of 55 percent Roll and 45 percent Ross by filling in the following table: Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Probability of State of Economy 0.40 0.60 Portfolio Return if State Occurs Security Returns if State Occurs Roll -10% 28 % % E(R₂) = Product Ross % % % 21% 8

State of Probability of State of Economy Economy 0.40 0.60 Bust Boom State of Economy Bust Boom Calculate the expected return on a portfolio of 55 percent Roll and 45 percent Ross by filling in the following table: Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Probability of State of Economy 0.40 0.60 Portfolio Return if State Occurs Security Returns if State Occurs Roll -10% 28 % % E(R₂) = Product Ross % % % 21% 8

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: State of Economy Boom Good Poor Bust Probability of State- of Economy a. 15 .55 .25 .05 a. Expected return b-1. Variance b-2. Standard deviation Rate of Return if State Occurs Stock A Stock B Stock C .39 .49 .29 .15 .20 .08 -.09 -.07 -.24 -.10 Your portfolio is invested 24 percent each in A and C, and 52 percent in B. What the expected return of the portfolio? (Do not round intermediate calculations a enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round intermediate calculations an round your answer to 5 decimal places, e.g., .16161.) b-2. What is the standard deviation? (Do not round intermediate calculations and ent your answer as a percent rounded to 2 decimal places, e.g., 32.16.) -.01 -.20 % %
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom .15 .35 .45 .27 Good .55 .16 .10 .08 Poor .25 -.01 -.06 -.04 Bust .05 -.12 -.20 -.09 a) Your portfolio is invested 40 percent each in A and C, and 20 percent in B. What is the expected return of the portfolio? b) What is the variance of this portfolio? The standard deviation? Stock C .45 .27 .10 .08 -.06 -.04 -.20 -.09
Consider the following information: State of Economy Boom Good Poor Bust Probability of State- of Economy 15 .55 a. Expected return b-1. Variance b-2. Standard deviation 25 .05 Rate of Return if State Occurs Stock A Stock B Stock C .33 .43 .23 .18 14 .12 -.05 -.13 a. Your portfolio is invested 26 percent each in A and C, and 48 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) % -.08 -.18 % -.06 -.10
Consider an investment with the following probability distribution: Probability: Payoff: 0.40 41.0% 0.40 -6.0 0.20 -20.0 Calculate the expected return. Do not round intermediate calculations. Round your answer to two decimal places. _____% Calculate the standard deviation. Do not round intermediate calculations. Round your answer to two decimal places. _____% Calculate the coefficient of variation. Do not round intermediate calculations. Round your answer to two decimal places. _____
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.) % % %
Consider the following information: State of Probability of Economy State of Economy Boom Bust .58 .42 Rate of Return if State Occurs Variance Stock A .07 .16 Stock B 15 .06 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return 12.87% % Stock C 33 -.06 b. What is the variance of a portfolio invested 20 percent each in A and B and 60 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., 32.161616.) 1.29% *
5 Consider the following information: Probability of State of State of Economy Boom Good Poor Bust Economy 15 .45 .35 .05 a. Rate of Return if State Occurs a. Expected return b-1. Variance b-2. Standard deviation Stock A Stock B Stock C .36 46 .26 .21 .17 10 -.03 -.17 Your portfolio is invested 22 percent each in A and C, and 56 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) % -.06 -.21 % -.04 -.07
es Consider the following information on three stocks: State of Economy Boom Normal Bust Probability of State of Economy .20 .40 .40 Rate of Return If State Occurs Stock A .34 .25 .03 Stock B .46 .23 -.25 Stock C .50 .20 - .42 a-1. If your portfolio is invested 35 percent each in A and B and 30 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-2. What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .32161.) a-3. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 4.50 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations abd enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. If the expected inflation rate…
Consider the following information: Rate of Return if State Occurs State of Probability of State of Economy Stock A Stock B Stock C Economy Boom 0.15 0.32 0.42 0.33 Good 0.45 0.19 0.13 0.12 Poor 0.30 -0.05 -0.08 -0.06 Bust 0.10 - 0.16 -0.28 0.09 a. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio? (Round your answer to 2 decimal places. (e.g., 32.16)) Expected return % b-1What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places. (e.g., 32.16161)) Variance b-2What is the standard deviation? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16)) Standard deviation %
Consider the following scenario analysis: Scenario Recession Normal economy Boom Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? b. What are the expected rate of return and standard deviation of the portfolio? Required A Probability 0.3 0.6 0.1 Required B Recession Normal economy Boom Rate of Return Complete this question by entering your answers in the tabs below. Stocks -5% 13 24 Rate of Return % % 15.6 % Bonds 12% 9 3 What is the rate of return on the portfolio in each scenario? Note: Enter your answer as a percent rounded to 1 decimal place.
Consider the following scenario analysis: Scenario Recession Normal economy Boom Required A Probability 0.3 0.4 0.3 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? b. What are the expected rate of return and standard deviation of the portfolio? Rate of Return Stocks Bonds 12% 7 3 Complete this question by entering your answers in the tabs below. Required B Expected return Standard deviation -4% 13 22 What are the expected rate of return and standard deviation of the portfolio? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places % %
You have been given the following information: State of Economy Recession Normal Boom Probability of State of Economy .17 .58 .25 Rate of Return if State Occurs a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation Stock A .08 .11 16 a. Calculate the expected return for the two 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 the two stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Stock B -.12 .17 .34 % % % %

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