Consider the following information on a portfolio of three stocks: Probability of State of State of Economy Boom Normal Bust Economy 25 .60 15 Stock A Stock B Rate of Return -Rate of Return .02 10 16 .32 .12 -.11 Stock C Rate of Return .60 .20 -.35 Required: (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? (Do not round intermediate calculations

Consider the following information on a portfolio of three stocks: Probability of State of State of Economy Boom Normal Bust Economy 25 .60 15 Stock A Stock B Rate of Return -Rate of Return .02 10 16 .32 .12 -.11 Stock C Rate of Return .60 .20 -.35 Required: (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? (Do not round intermediate calculations

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: Probability of State of State of Economy Boom Bust Economy 0.55 8.45 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate Round the final answer to 2 decimal places.) Expected return Variance Rate of Return if State Occurs Stock A Stock B Stock C 0.06 0.14 0.34 0.10 0.02 -0.07 10.65% b. What is the variance of a portfolio invested 25% each in A and B and 50% in C? (Do not round intermediate calc the final answer to 6 decimal places.)
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 %
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
Consider the following information: State of Economy Boom Bust Probability of State of Economy a. Expected return b. Variance .60 .40 Rate of Return if State Occurs % Stock A Stock B .23 .08 .15 .18 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.) b. What is the variance of a portfolio invested 24 percent each in A and B and 52 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) Stock C .42 -.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 .68 :32 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B Stock C .11. .15 .05 .21 .26 -.06 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 23 percent each in A and B and 54 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.
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 information: Rate of Return if State Occurs State of Economy Probability of State of Economy Boom Bust .66 .34 Stock A .09 .23 Stock B .03 Stock C .34 .29 -.14 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 21 percent each in A and B and 58 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. a. Expected return b. Variance of portfolio 14.43 %
Nikul
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock C Boom .14 Bust .16 a. b. Stock B .58 .42 .22.40 .06-.05 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.) What is the variance of a portfolio invested 22 percent each in A and B and 56 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)
Consider the following information: Probability of State of State of Economy Book Bust Economy 0.55 Variance Rate of Return if State Occurs Stock A Stock B 0.06 0.14 0.10 0.02 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediat Round the final answer to 2 decimal places.) Expected return b. What is the variance of a portfolio invested 25% each in A and B and 50% in C? (Do not round intermediate calc the final answer to 6 decimal places.) 10.65% Stock C 0.34 -0.07

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