Consider the following information on a portfolio of three stocks: Probability of State Stock A Rate of Economy of Return State of Economy Boom Normal Bust .25 .60 .15 a. Expected return Variance Standard deviation b. Expected risk premium 0.10 % 0.00993 .04 .09 .15 0.10 % % Stock B Rate of Return a. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio's expected return? The variance? The standard deviation? Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., 16161. Enter your other answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If the expected T-bill rate is 3.4 percent, what is the expected risk premium on the portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. .33 .13 -.14 Stock C Rate of Return .55 .19 -.28

Consider the following information on a portfolio of three stocks: Probability of State Stock A Rate of Economy of Return State of Economy Boom Normal Bust .25 .60 .15 a. Expected return Variance Standard deviation b. Expected risk premium 0.10 % 0.00993 .04 .09 .15 0.10 % % Stock B Rate of Return a. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio's expected return? The variance? The standard deviation? Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., 16161. Enter your other answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If the expected T-bill rate is 3.4 percent, what is the expected risk premium on the portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. .33 .13 -.14 Stock C Rate of Return .55 .19 -.28

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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Assume CAPM holds. What is the correlation between an efficient portfolio and market portfolio? a. 1 b.-1 c.0 d. Not enough information Assume CAPM holds. The risk-free rate is 1% and the expected return on the portfolio is 5%. What is the expected return of a stock with a beta of 2? 70%
Consider the following information about three stocks: Probability 0.22 State of Economy Boom Normal Bust 0.53 0.25 Stock A 0.24 0.00 0.17 -0.28 Stock B 0.36 0.13 -0.45 Stock C 0.55 0.09 Instructions: a) If your portfolio is invested 40% each in A and B and 20% in C, what is the portfolio expected return? The variance? The standard deviation? b) If the expected T-bill rate is 3.80%, the expected inflation rate is 3.50% what are the approximate and exact expected real returns on the portfolio? what is the approximate real risk premium? Show your steps.
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: 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 information: Rate of Return if State Occurs Probability of State State of Economy of Economy Stock A Stock B Stock C Boom .10 34 44 24 Good .60 .19 15 08 Poor .25 -.01 09 -.07 Bust .05 -15 -.19 -11 a. Your portfolio is invested 25 percent each in A and C, and 50 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.) a. Expected return b-1. Variance % b-2. Standard deviation %
4. Consider the following information. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return and standard deviation of this portfolio? (10 marks) State of Probability of Rate of Return if State Occurs Economy State of Economy Stock A Stock B Stock C Boom 0.15 0.30 0.45 0.33 Good 0.45 0.12 0.10 0.15 Poor 0.35 0.01 -0.15 -0.05 Bust 0.05 -0.06 -0.30 -0.09
Radhubhai
Consider the following information on a portfolio of three stocks: State of Probability of Economy State of Economy Boom .12 Normal Bust .33 Stock A Rate of Return .07 .16 Stock B Rate of Return .32 .27 -.26 Stock Rate of Return .45 .25 -.35 a. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio's expected return, the variance, and the standard deviation ? Note: Do not round intermediate calculations . Round your variance answer to 5 decimal places, e.g., .16161. Enter your other answers as a percent rounded to 2 decimal places , e.g., 32.16. bIf the expected T-bill rate is 4.5 percent, what is the expected risk premium on the portfolio ? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16 . % a. Expected return Variance Standard deviation % b. Expected risk premium %
Consider the following information: State of Economy Probability of State of Economy Boom Bust .72 .28 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B .04 .25 13.73 % .10 .19 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of a portfolio invested 27 percent each in A and B and 46 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. Stock C .30 -.10
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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Consider a portfolio consisting of the following three stocks Portfolio Weight Volatility Correlation with Market Portfolio HEC Corp 0.25 12% 0.4 Green Midget 0.35 25% 0.6 Alive and Well 0.4 13% 0.5 The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. The expected return of the portfolio is closest to: 7.53% 10.50 6.25% 5.4%

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