es Security Returns if State Occurs State of Economy Probability of State of Economy Roll Ross Bust Boom 1.30 .70 -10% 14% 21 5 Calculate the expected return on a portfolio of 45 percent Roll and 55 percent Ross by filling in the following table: (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 State of Economy Portfolio Return if of State of Product State Occurs Economy Bust .30 % % Boom .70 % % E(Rp)= %

es Security Returns if State Occurs State of Economy Probability of State of Economy Roll Ross Bust Boom 1.30 .70 -10% 14% 21 5 Calculate the expected return on a portfolio of 45 percent Roll and 55 percent Ross by filling in the following table: (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 State of Economy Portfolio Return if of State of Product State Occurs Economy Bust .30 % % Boom .70 % % E(Rp)= %

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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Probability State of 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. Security Returns if State Occurs Probability of State of Economy Roll -17% 28% 0.40 0.60 Ross 18% 7% Answer is complete but not entirely correct. Portfolio Return if State Occurs 0.04 % 11.40 % E(Rp)= Product 5.50 X % 5.13 % 10.63 %
Compute the expected return given these three economic states, their likelihoods, and the potential returns: Economic State Fast Growth Slow Growth Recession Multiple Choice О 18.3 percent О 13.5 percent 40.0 percent О 22.5 percent Probability Return 0.3 40% 0.4 15% 0.3 -15%
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 % %
D4
3
4
Q25 Following are three economic states, their likelihoods, and the potential returns: Economic State Probability Return Fast growth 0.3 40 % Slow growth 0.4 10 Recession 0.3 –25 Determine the standard deviation of the expected return. (Do not round intermediate calculations and round your answer to 2 decimal places.) STANDARD DEVIATION. %
What is the risk premium for the following returns if the risk-free rate is 4%? State Probability Return Boom .25 .25 Good .50 .10 Recession .25 0 a. 11.25% b. 7.25% c. 9.25% d. 8.25%
INV 2 -1 You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.10 0.55 0.35 Return on P -15% 20% 40% The risk-free rate is currently 4%, and the market portfolio M has an expected return of 16% and standard deviation of 20%, and its correlation with P is .7. Is P an efficient portfolio relative to the market?
Security Returns if State Occurs State of Economy Bust Boom Probability of State of Economy Roll Ross .60 40 -15% 19% 26 6 Calculate the expected return on a portfolio of 70 percent Roll and 30 percent Ross by filling in the following table: (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.) State of Economy Probability of State of Economy Portfolio Return if Product State Occurs Bust .60 % Boom 40 % E(Rp) % % 5.12%
Suppose there are only three assets (A, B, and C) in a market. Given the following information: Asset Market Expected Standard Correlation Beta with market Value Return Deviation portfolio A $1,000,000 (i) 50% 0.3 2.9 В $2,000,000 8% 15% (iv) 1.05 $2,000,000 3% 0% (v) Market $5,000,000 15% (ii) 1 (iii) Fill in the missing values in the table.
INV 2 -1b You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.10 0.55 0.35 Return on P -15% 20% 40% The risk-free rate is currently 4%, and the market portfolio M has an expected return of 16% and standard deviation of 20%, and its correlation with P is .7. What is the portfolio P’s beta?

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