Consider the following information:Probability ofState ofState ofEconomyBoomBustEconomy0.558.45a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediateRound the final answer to 2 decimal places.)Expected returnVarianceRate of Return if State OccursStock AStock BStock C0.060.140.340.100.02-0.0710.65%b. What is the variance of a portfolio invested 25% each in A and B and 50% in C? (Do not round intermediate calcthe final answer to 6 decimal places.)

The expected return on the portfolio of equal weights can be found by multiplying the returns of…

Consider the following information: Probability of State of State of Economy Boom Bust Economy 0.55 0.45 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermedia Round the final answer to 2 decimal places.) Wariance Rate of Return if State Occurs Stock A Stock B Stock C 0.06 0.14 0.34 0.10 0.02 -0.07 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 ca the final answer to 6 decimal places.) 10.65 %

Consider the following information: Probability of State of State of Economy Boom Bust Economy 0.55 0.45 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermedia Round the final answer to 2 decimal places.) Wariance Rate of Return if State Occurs Stock A Stock B Stock C 0.06 0.14 0.34 0.10 0.02 -0.07 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 ca the final answer to 6 decimal places.) 10.65 %

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: Rate of Return If State Occurs State of Probability of State of Economy Economy Boom .60 Stock A .08 Stock B .16 Stock C .34 Bust .40 .18 .08 -.07 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 18 percent each in A and B and 64 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) a. Expected return % b. Variance
2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…
What is the required return for each stock? What is required return for stock B? Scenario Probability Stock A Stock B Market Risk-free rate Bust 0.25 -0.15 -0.05 Normal 0.55 0.2 0.1 Boom 0.2 0.4 0.3 Beta 1.2 0.9 Expected return 0.13 0.05
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 %
Consider the following information: Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession .20 .010 −.35 Normal .55 .090 .25 Boom .25 .240 .48 Calculate the expected return for the two stocks. Calculate the standard deviation for the two stocks.
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
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.
None
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 on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom.13.02.32.50 Normal.55.10.22.20 Bust .32.16.21.35 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. If the expected T-bill rate is 4.25 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.
None
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 %

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