As the chief investment officer for a money management firm specializing in taxable individ-ual 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 MIXo2PortfolioStockBondER5%95%8%5%9.2251075370301016490101125a. 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 portfoliois 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 havingPortfolio 1 or Portfolio 2 as her strategic allocation? Demonstrate.

a) According to the Expected Utility Theory, the formula to calculate the Expected Utility (EU) is…

Answered: As the chief investment officer for a…

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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Investing in mutual funds allows an investor to achieve O A. Diversification B. Professional portfolio management C. Guaranteed reservations at your favorite restaurant D. Returns equal to the S&P 500 O E. Both A & B
a. Using the data provided in problem 3, determine the return and risk for a portfolio made up of the following three stocks if you want to distribute your investment as follows: 20% in ADRE; 65% in MSFT and 15% in GOOG.b. How would the portfolio be affected if you distributed your investment in the following way: 30% in ADRE; 25% on MSFT and 45% on GOOG?c. Which of the two portfolios would a risk seeking investor prefer and why?
D5)
Assume you are a portfolio manager at JS Global Capital Ltd. Recently you came across three attractive stocks and want to create a portfolio investment in these three stocks. The details of the stocks are given below: Company name Volatility (Standard deviation) Weight in Portfolio Correlation with the market portfolio Engro Ltd 10% 0.30 0.5 FFC Ltd 20% 0.40 1.5 Fatima Fertilizer Ltd 15% 0.30 1.0 The expected return on the market portfolio is 8% and its volatility is 10%. The risk-free rate based on central bank’s discount rate is 3%. Calculate each of the stock’s expected return and risk (beta) as compared to the market. What should be the expected return of the portfolio based on values calculated in part a.c. Calculate the beta of the portfolio? what does it tells regarding the riskiness of the portfolio? Using the values from part c, can you calculate the expected return of the portfolio? Is it similar to your answer in part b? Why…
Mr. Ota is an analyst for a large pension fund and he has been assigned the task of evaluating two different external portfolio managers (K and C). He considers the following historical average return, standard deviation, and CAPM beta estimates for these two managers over the past five years: Actual Average Standard deviation Portfolio Beta Return Manager K Manager C 7.80% 10.05% 0.75 12.0% 15.50% 1.45 Additionally, Mr. Ota estimate for the risk premium for the market portfolio is 5.40% and the risk-free rate is currently 2.50%. a. For both Managers K and C, calculate the expected return using the CAPM. Express your answers to the nearest basis point (i.e., xX.XX%)
As an individual investor, you have three funds to invest into. The first is an equity fund, the second is a corporate bond fund, and the third is a T-bill money-market fund (your risk-free asset). Fund Expected rate of return Risk (Standard deviation) Equity fund 16% 32% Corporate bond fund 12% 18% T-bill money market fund 2% Correlation between equity fund and bond fund returns is 0.4. Find the Expected return of the minimum variance portfolio formed from Equity and Bond funds
(c)) Discuss the following graphic, which shows the relationship between expected return and portfolio weights. The portfolio is comprised of a debt security D and an equity security E. What would the portfolio strategy be when Wp = 2 and ba WE = -1? 38 (33) -0.5 Expected Return 13% 8% Debt Fund 0 (ebenso) esenicut adol leu@ ledol (loorba (ognerloxel) Ismet tametnl Equity Fund 1.0 0 OC) becida nieu to 2.0 w (stocks) AB -1.0 68 XO.YOUTS RO w (bonds)=1-w (stocks) 15 V10 anollesup Figure 7.3 Portfolio expected return as a function of investment proportions la 21101TO
1) a. You approach your broker to borrow money against securities held in your portfolio. Eventhough the loan will be secured by the securities in your portfolio, the broker's rate for lending tocustomers is 5 percent. Assuming a risk-free rate of 4 percent and an expected market return of 11percent with a standard deviation of 15 percent, draw the capital market line related to yourinvestment opportunities. b. Estimate your expected return and risk if you invest 20 percent of your portfolio in the risk-freeasset. What if you decide to borrow 20 percent of your initial wealth and invest the money in themarket?
The table presents the actual return of each sector of the manager's portfolio in column (1), the fraction of the portfolio allocated to each sector in column (2), the benchmark or neutral sector allocations in column (3), and the returns of sector indexes in column (4). (1) (2) (3) (4) Actual Actual Benchmark Index Return Weight Weight Return Equity 16% 80% 60% 10% Bonds 9% 15% 35% 7% Cash 3% 5% 5% 1% What was the manager's return in the month? What was the benchmark's return in the month? Did the manager over or under perform the benchmark? a. Over perform b. Under perform c. Equal performance d. Cannot tell from the information given e. None of the above By how much did the manager over or under perform the benchmark? What is the contribution of security selection to relative performance? What is the contribution of asset allocation to relative performance?
Assume you are a portfolio manager at JS Global Capital Ltd. Recently you came across three attractive stocks and want to create a portfolio investment in these three stocks. The details of the stocks are given below: Company name Volatility (Standard deviation) Weight in Portfolio Correlation with the market portfolio Engro Ltd 25% 0.30 0.40 Lucky Cement Ltd 12% 0.30 0.60 FFC Ltd 13% 0.40 0.50 The expected return on the market portfolio is 8% and its volatility is 10%. The risk-free rate based on central bank’s discount rate is 3% Calculate each of the stock’s expected return and risk (beta) as compared to the market What should be the expected return of the portfolio based on values calculated in part a. Calculate the beta of the portfolio? what does it tells regarding the riskiness of the portfolio? d. Using the values from part c, can you calculate the expected return of the portfolio? Is it similar to your answer in part b? Why or why…
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An insurance fund is analysing the performance of three different fund managers A, B and C. Each manager invests in one third of all asset classes to maintain a well diversified portfolio. The following information is available: A B C Market portfolio Average net return (%) 5 8 9 9 Volatility (%) 18 24 21 20 Beta 0.8 1.1 1.3 A risk free rate is established to be 2%. Calculate for each of the fund managers the expected return using CAPM, ex post Sharpe Ratio, Treynor Ratio, M2 alpha and Jensen’s alpha. Interpret your results.

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