Hyacinth Macaw invests 50% of her funds in stock I and the balance in stock J. The standard deviation of returns on I is 15%, and on Jit is 20%. Note: Use decimals, not percents, in your calculations.. a. Calculate the variance and standard deviation of portfolio returns, assuming the correlation between the returns is 1. b. Calculate the variance and standard deviation of portfolio returns, assuming the correlation is 0.3. c. Calculate the variance and standard deviation of portfolio returns, assuming the correlation is 0. Note: For all requirements, do not round intermediate calculations. Round your answers to 4 decimal places. a. Variance Standard deviation b. Variance Standard deviation c. Variance Standard deviation E

Hyacinth Macaw invests 50% of her funds in stock I and the balance in stock J. The standard deviation of returns on I is 15%, and on Jit is 20%. Note: Use decimals, not percents, in your calculations.. a. Calculate the variance and standard deviation of portfolio returns, assuming the correlation between the returns is 1. b. Calculate the variance and standard deviation of portfolio returns, assuming the correlation is 0.3. c. Calculate the variance and standard deviation of portfolio returns, assuming the correlation is 0. Note: For all requirements, do not round intermediate calculations. Round your answers to 4 decimal places. a. Variance Standard deviation b. Variance Standard deviation c. Variance Standard deviation E

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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Stock A has an expected return of 9%, while the market portfolio has an expected return of 6.36%. Stock A has variance 2.56 %, and the risk-free rate is 1%. You are a financial advisor and try to assess quantitatively the risk aversion of one of your clients, giving her a questionnaire about risk-return preferences. From her answers, you conclude that her risk-aversion coefficient is 4. a. Derive the condition under which you could claim that the CAPM holds. b. Derive the condition under which your client would be indifferent between investing her wealth either in the riskless asset or in the market. c) Your client also asks you to show her an alternative portfolio created by mixing the riskless asset with stock A. In this case, which weights would you suggest?
You invest in a portfolio of 5 stocks with an equal investment in each one. The betas of the 5 stocks are as follows: 0.8, -1.3, 0.95, 1.2, and 1.4. The risk-free return is 3% and the market return is 7%. a. Compute the beta of the portfolio. b. Compute the required return of the portfolio.
Asset 1 has a standard deviation of returns of 0.15 while Asset 2 has a standard deviation of returns of 0.20. The correlation coefficient between the returns of the two assets is 0.34. Which of the following is closest to the covariance of the returns of the two assets if they are combined into an equally weighted portfolio? Group of answer choices 0.0129 0.0207 0.0102 0.1440
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Suppose that there exist two securities (A and B) with annual expected returns equal to ra = 3% and rg = 5% and standard deviations equal to o4 = 7% and oB = 10% respectively. The correlation coefficient between the returns of these securities is p = -0.5. What is the expected return and the standard deviation of an equally weighted portfolio consisting of the securities A and B? Describe every step of your calculations in detail. What is the expected return and the standard deviation of a portfolio consisting of the securities A and B, if the relevant weights are chosen to minimize the risk of the portfolio? Present the minimisation problem and describe every step of your calculations in detail. How could an investor maximize diversification benefits? Critically discuss and explain in detail.
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Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)
9. A portfolio is composed of two stocks, Stock A and B. The standard deviation of return for Stock A is 50% and for Stock B it is 40%. If the covariance between the returns for Stock A and Stock B is -0.04, compute the correlation coefficient between the returns for Stock A and Stock B.
Suppose the average return on Asset A is 6.6 percent and the standard deviation is 8.6 percent and the average return and standard deviation on Asset B are 3.8 percent and 3.2 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions. a. What is the probability that in any given year, the return on Asset A will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.25 percent. How likely is it that such a low return will recur at some point in the future? (Do…
Assume that you run a regression on the raw returns of the stock of Company J against the raw returns of the market and find an intercept of 1.324 percent and a beta of 2.36. If the risk-free rate is 2.64 percent, and using the concept of Jensen's Alpha, then determine by how much this stock beat the market. Answer in decimal format. For example, if you answer is 3.33%, enter "0.0333"
Consider a portfolio consisting of the following three stocks: an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. ▪ The volatility of the market portfolio is 10% and it has b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.
You are examining a portfolio consisting of three stocks. Using the data in the table a. Compute the annual returns for a portfolio with 25% invested in North Air, 25% invested in West Air, and 50% invested in Tex Oil. b. What is the lowest annual return for your portfolio in part (a)? How does it compare with the lowest annual return of the individual stocks or portfolios in the table above. a. Compute the annual returns for a portfolio with 25% invested in North Air, 25% invested in West Air, and 50% invested in Tex Oil. The annual return for 2014 will be: (Round to two decimal places.) Year 2014 Year 2016 North Air 21% Year 2018 North Air The annual return for 2015 will be: (Round to two decimal places.) Year 2019 29% 6% Year 2015 The annual return for 2016 will be: (Round to two decimal places.) North Air North Air West Air West Air -6% 8% North Air -1% West Air North Air 21% 8% 6% The annual return for 2017 will be: (Round to two decimal places.) West Air Year 2017 The annual…

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