How would you characterize the correlations of returns of the two assets making up each of the two portfolios AB AND AC 1. You have been asked for your advice in selecting a portfolio of assets and have given thefollowing data:YearExpected ReturnAsset AAsset BAsset C201912%16%12%20201414142021161216You have been told that you can create two portfolios- one considering of assets A andB and the other consisting of assets A and C – by investing equal proportions (50%) ineach of the two component assets.

Portfolio can be defined as an investment which consists of multiple stocks. The objective of an…

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How would you characterize the correlations of returns of the two assets making up each of the two portfolios AB AND AC

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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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
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 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%
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
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…
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 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?
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.
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…
Find the expected portfolio return and standard deviation if you were to invest 50% of your portfolio in Asset B, 50% in Asset C, with no allocation to Asset A. Compute your answers to the nearest tenth of a basis point. (See attached data file) We know that Asset A: B: C: expected return: 1.16 1.35 1.38 expected standard deviation: 2.88 1.58 2.19
Consider the case of two financial assets and three market conditions (states). The tablebelow gives the respective probability for each market condition and the return of each assetin each one of them. Market Conditions State Recession Normal Expansion Probability of state 30% 40% 30% Return of asset A -30% 20% 55% Return of asset B -10% 70% 0% Consider the portfolio with 50% investment in each of the two assets above. Calculatethe expected return and the standard deviation of the portfolio.
Question 2 You must choose between two investments, X and Y . The profitability index (PI), net present value (NPV) and internal rate of return (IRR) of the two investments are as follows: Criteria Investment X Investment Y NPV R44 000 −R22 000 PI 1,945 0,071 IRR 16,00% 8,04% Which investment(s) should you choose, taking all the above criteria into consideration, if the cost of capital is equal to 12% per year? [1] X [2] Y [3] Both X and Y [4] Neither X nor Y [5] Too little information to make a decision 17 DSC1630

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