You have been asked for your advice in selecting a portfolio of assets and have been given the following data: Expected Return Year 2019 2020 2021 Asset A 12% 14 16 Asset B 16% 14 12 Asset C 12% 14 16 You have been told that you can create two portfolios-one consisting of assets A and B and the other consisting of assets A and C-by investing equal proportions (50%) in each of the two component assets. a. What is the expected return for each asset over the 3-year period? b. What is the standard deviation for each asset's return? c. What is the expected return for each of the two portfolios? d. What is the standard deviation for each portfolio? e. Which portfolio do you recommend? Why?

You have been asked for your advice in selecting a portfolio of assets and have been given the following data: Expected Return Year 2019 2020 2021 Asset A 12% 14 16 Asset B 16% 14 12 Asset C 12% 14 16 You have been told that you can create two portfolios-one consisting of assets A and B and the other consisting of assets A and C-by investing equal proportions (50%) in each of the two component assets. a. What is the expected return for each asset over the 3-year period? b. What is the standard deviation for each asset's return? c. What is the expected return for each of the two portfolios? d. What is the standard deviation for each portfolio? e. Which portfolio do you recommend? Why?

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter3: Data Visualization

Section: Chapter Questions

Problem 18P: The Ajax Company uses a portfolio approach to manage their research and development (RD) projects....

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You have been asked for your advice in selecting a portfolio of assets and have been given the following data: Expected return Year Asset A Assest B Assest C 2019 12% 16% 12% 2020 14% 14% 14% 2021 16% 12% 16% You have been told that you can create two portfolios—one consisting of assets A and B and the other consisting of assets A and C—by investing equal proportions (50%) in each of the two component assets. a. What is the expected return for each asset over the 3-year period? b. What is the standard deviation for each asset’s return? c. What is the expected return for each of the two portfolios? d. How would you characterize the correlations of returns of the two assets making up each of the two portfolios identified in part c? e. What is the standard deviation for each portfolio? f. Which portfolio do you recommend? Why?
Suppose we want to determine the expected return and standard deviation for a portfolio of assets A (60%) and B (40%). The expected returns of assets A and B for each of the next 5 years are given in columns 1 and 2 respectively in the table. Find the expected return and standard deviation for the portfolio.Years A B2018 10% 6%2019 15% 8%2020 12% 10%2021 9% 7%2022 14% 9%
Jamie Peters invested $127,000 to set up the following portfolio one year ago: Asset Cost Beta at purchase Yearly income Value today A $38,000 0.72 $1,000 $38,000 B $40,000 0.98 $1,600 $41,000 C $39,000 1.48 $0 $45,500 D $10,000 1.29 $450 $10,500 a. Calculate the portfolio beta on the basis of the original cost figures. b. Calculate the percentage return of each asset in the portfolio for the year. c. Calculate the percentage return of the portfolio on the basis of original cost, using income and gains during the year. d. At the time Jamie made his investments, investors were estimating that the market return for the coming year would be 10%. The estimate of the risk-free rate of return averaged 5% for the coming year. Calculate an expected rate of return for each stock on the basis of its beta and the expectations of market and risk-free returns. e. On the…
Suppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below. A B C Probabilities return 0.05 0.50% -3.60% 3.60% 0.35 0.60% 2.75% 0.15% 0.45 3.66% 1.45% 0.45% 0.15 -4.80% -0.60% 6.30% Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?
You are going to invest $20,000 in a portfolio consisting of assets X, Y, and Z, as follows: Asset Annual Return Probability Beta Proportion X 10% 0.50 1.2 0.333 Y 8% 0.25 1.6 0.333 Z 16% 0.25 2.0 0.333 Given the information in Table 5.2, The beta of the portfolio in Table 8.2, containing assets X, Y, and Z is ________. Select one: a. 1.6 b. 2.0 c. 1.5 d. 2.4
Assume you are considering a portfolio containing Asset 1 and Asset 2. Asset 1 will represent 37% of the dollar value of the portfolio, and asset 2 will account for the other 63%. Assume that the portfolio is rebalanced at the end of each year. The expected returns over the next 6 years, 2021–2026, for each of these assets are summarized in the following table: Data table (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Projected Return Year Asset L Asset M 2021 −9% 33% 2022 15% 5% 2023 26% −9% 2024 4% 18% 2025 −9% 33% 2026 33% −18% . a. Calculate the expected portfolio return, rp, for each of the 6 years. b. Calculate the average expected portfolio return, rp, over the 6-year period. c. Calculate the standard deviation of expected portfolio returns, sp, over…
as the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 9, while Mr. B has a risk-tolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock bond ER σ2 1 9% 91% 8% 5% 2 21 79 9 9 3 69 31 10 14 4 84 16 11 24 Calculate the expected utility of each prospective portfolio for each of the two clients. Do not round intermediate calculations. Round your answers to two decimal places. Portfolio Ms. A Mr. B 1 2 3 4
You have invested in the following portfolio: an amount of cash USD 111 earning 0.04 percent return. An amount of treasury bills USD 171, earning 0.07 percent return, an amount of bonds USD 150 earning 0.07 percent return. And an amount of stock USD 219 earning -0.11 percent return. Calculate the investment portfolio return..
As the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risktolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock Bond ER o^2 1 5% 95% 8% 5% 2 25% 75% 9% 10% 3 70% 30% 10% 16% 4 90% 10% 11% 25% a. Calculate the expected utility of each prospective portfolio for each of the two clients. b. Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Explain why there is a difference in these two outcomes. c. For Ms. A, what level of risk tolerance would leave her indifferent between having Portfolio 1 or Portfolio 2 as her strategic allocation? Demonstrate.
As the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risk-tolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock Bond ER σ2 1 6 % 94 % 9 % 6 % 2 25 75 10 10 3 67 33 11 14 4 88 12 12 24 Calculate the expected utility of each prospective portfolio for each of the two clients. Do not round intermediate calculations. Round your answers to two decimal places. Portfolio Ms. A Mr. B 1 2 3 4 Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Portfolio represents the optimal strategic allocation for Ms. A. Portfolio is the optimal allocation for Mr. B. For Ms. A, what level of…
You have been given the expected return data shown in the first table on three assets—F, G, and H—over the period 2018-2021 Year Asset F Asset G Asset H 2019 5 12 12 2020 10 9 7 2021 13 21 4 2022 6.5 6 10.5 Using these assets, you have isolated the three investment alternatives shown in the following table. Alternative Investment 1 100% of asset G 2 40% of asset F and 60% of asset G 3 50% of asset F and 50% of asset H Calculate the expected return over the 4-year period for each of the three alternative Calculate the standard deviation of returns over the 4-year period for each of the three alternatives. Use your findings in parts a and b to calculate the coefficient of variation for each of the three alternatives. On the basis of your findings, which of the three investment alternatives do you recommend? Why?
You must choose between two investments, G and W. The profitability index (PI), net present value (NPV) and internal rate of return (IRR) of the two investments are as follows: Criteria Investment G Investment W NPV –12 000 40 000 PI 0,985 1,053 IRR 20% 24% Which investment(s) should you choose, considering all the above criteria, if the cost of capital is equal to 21% per year