Probability State of of State of Economy Economy 0.40 0.60 Bust Boon 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. Security Returns if State Occurs Probability of State of Economy Roll -17% 28% 0.40 0.60 Ross 18% 7N Answer is complete but not entirely correct. Portfolio Return if State Occurs 0.04 11.40% E(R) % Product 5.50 % 5.13 % 10.63 %

Probability State of of State of Economy Economy 0.40 0.60 Bust Boon 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. Security Returns if State Occurs Probability of State of Economy Roll -17% 28% 0.40 0.60 Ross 18% 7N Answer is complete but not entirely correct. Portfolio Return if State Occurs 0.04 11.40% E(R) % Product 5.50 % 5.13 % 10.63 %

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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Expected Returns: Discrete Distribution The market and Stock J have the following probability distributions: Probability rM rJ 0.3 15% 20% 0.4 9 7 0.3 18 10 Calculate the expected rates of return for the market and Stock J. Round your answers to one decimal place. Expected rate of return (Market): % Expected rate of return (Stock J): % Calculate the standard deviations for the market and Stock J. Do not round intermediate calculations. Round your answers to two decimal places. Standard deviation (Market): % Standard deviation (Stock J): %
What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 10% SDA = 8% WA = 0.25 COVAB = 0.006 Select one: A. 13.75% B. 7.72% C. 12.5% D. 8.79% Asset (B) E(RB) = 15% SDB = 9.5% WB = 0.75
What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 25% SDA = 18% WA = 0.75 COVA, B = -0.0009 Select one: A. 13.65% B. 20 U ODN 20.0% C. 18.64% D. 22.5% Asset (B) E(R₂) = 15% SDB = 11% WB = 0.25
The risk-free rate is 4.15 percent. What is the expected risk premium on this stock given the following information? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Probability of Rate of Return if State State of the Economy State of Economy Вoom Occurs 0.35 16% Normal 14% 0.65
You are given the following information: State ofEconomy Return onStock A Return onStock B Bear .112 −.055 Normal .105 .158 Bull .083 .243 Assume each state of the economy is equally likely to happen. a. Calculate the expected return of each stock. (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 of each stock. (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? (A negative answer should be indicated by a minus sign, 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? (A negative answer should be indicated by a minus sign, Do not round intermediate calculations and round your answer to 4…
Use the following information on states of the economy and stock returns to calculate the expected return for Dingaling Telephone: (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Probability of State of Security Return if State Occurs State of Economy Recession Economy 0.30 Normal Вoom -6.5% 9.0 16.6 0.55 0.15
The returns on AA Berhad and BB Berhad are given below, State of Economy Probability of Return (%) AA Return (%) BB occurring Berhad Berhad 1 0.30 6 -15 0.50 10 18 3 0.20 17 40 Calculate: a) Expected return E(R) for i) АА Beфad ii) ВВ Behad b) Standard deviation for i) AA Berhad ii) ВВ ВBehad c) Discuss any FOUR (4) benefits of diversification by referring to AA and BB Berhad.
State of Economy Probability ABC Company Expected Return Expected Return XYZ Company Very Poor 0.30 -9% -19% Poor 0.25 -8% -6% Good 0.15 8% 9% Very Good 0.30 34% 33% Expected Return 6.70% 4.05% A) Calculate the covariance of the portfolio. Please answer as a decimal to 4 decimal places. Answer:
Asset W has an expected return of 13.15 percent and a beta of 1.28. If the risk free rate is 4.53 percent, complete the following table for portfollos of Asset W and a risk-free asset. Note: Leave no cells blank- be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your portfolio expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Enter your portfolio beto answers rounded to 3 decimal places, e.g. 32.161. Percentage of Portfolio Expected Portfolio in Asset W Return 0% 25 50 25 100 125 150 453 % 669% 184% 11.00% 13.15 % 15.31% 17.46% Portfolio Beta 0250 0640 1024 1.200 6057 006
Consider the following information: Rate of Return If State Occurs State of Probability of State of Economy Stock A Economy Stock B Recession .15 .06 - 10 Normal .56 .09 .19 Вoom .29 .14 .36 . 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.) . 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.) Stock A expected return % Stock B expected return % Stock A standard deviation % Stock B standard deviation %
Consider the following information: Rate of Return if State Occurs Probability of State of Economy .15 State of Economy Stock A Stock B Stock C Вoom .35 .40 .28 Good .45 .16 .17 .09 Рor .30 -.01 -.03 .01 Bust 10 -10 -12 -.09 Your portfolio is invested 30 percent each in A and C, and 40 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.) а. a. Expected return % b-1. Variance b-2. Standard deviation %
1. Given the following summary statistics, Mean S.D. 1.235 0.997 Asset A 0.52 Asset B. 0.44 (a) If the correlation between the two financial series is 0.25. What are the optimal portfolio weights to minimize risk? (b) What are the expected return and standard deviation of the optimal port- folio? (c) Compute the 1% Value-at-Risk for the next 5 days (d) Compute the expected shortfall

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