Q5. You are assigned a task to compare portfolios W, X, Y and Z. During the most recent 4-year period, the average annual rate of return on an aggregate market portfolio was 12%, and the average nominal rate of return on government T-bills was 5%. You also learned that the standard deviation of an annual rate of return for the market portfolio over the past 4 years was 5%. In order to compare the portfolios' performances, you need to compute each portfolio's risk-adjusted return and compare them against the market's risk-adjusted return. Portfolio Return Beta Standard Deviation W 0.17 1.3 X 0.11 1.0 Y 0.22 1.6 Z 0.15 0.9 0.04 0.05 0.10 0.05 Using the additional information provided in the table, answer the following questions. Compute the Sharpe measure for each portfolio and the market portfolio. Compute the Treynor measure for each portfolio and the market portfolio. Rank the portfolios using Sharpe and Treynor measures and explain the cause for any differences you find in the rankings. a. b. C. d. Compute the Jensen's alpha for Portfolio Y.

Q5. You are assigned a task to compare portfolios W, X, Y and Z. During the most recent 4-year period, the average annual rate of return on an aggregate market portfolio was 12%, and the average nominal rate of return on government T-bills was 5%. You also learned that the standard deviation of an annual rate of return for the market portfolio over the past 4 years was 5%. In order to compare the portfolios' performances, you need to compute each portfolio's risk-adjusted return and compare them against the market's risk-adjusted return. Portfolio Return Beta Standard Deviation W 0.17 1.3 X 0.11 1.0 Y 0.22 1.6 Z 0.15 0.9 0.04 0.05 0.10 0.05 Using the additional information provided in the table, answer the following questions. Compute the Sharpe measure for each portfolio and the market portfolio. Compute the Treynor measure for each portfolio and the market portfolio. Rank the portfolios using Sharpe and Treynor measures and explain the cause for any differences you find in the rankings. a. b. C. d. Compute the Jensen's alpha for Portfolio Y.

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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The expected return for asset A is 4.00% with a standard deviation of 9.00%, and the expected return for asset B is 6.75% with a standard deviation of 3.00%. Based on your knowledge of efficient portfolios, fill in the blanks in the following table with the appropriate answers. Proportion of Portfolio in Security A WA 1.00 0.75 0.50 0.25 0.00 Proportion of Portfolio in Security B WB 0.00 0.25 0.50 0.75 1.00 Expected Portfolio Return FP 4.00% 4.69% 6.06% 6.75% Standard Deviation Op Case I (PAB= -0.4) 6.5 4.1 2.5 3.0 Standard Deviation op Case II (PAB= 0.3) 9.0 5.2 3.6 3.0 The minimum risk portfolio allocation to asset A within the portfolio for case III is. Therefore, you are better off Standard Deviation op Case III (PAB=0.8) 9.0 7.4 5.8 ▼ 3.0
The historical returns for two investments-A and B-are summarized in the following table for the period 2016 to 2020, Use the data to answer the questions that follow. a. On the basis of a review of the return data, which investment appears to be more risky? Why? b. Calculate the standard deviation for each investment's returns. c. On the basis of your calculations in part b, which investment is more risky? Compare this conclusion to your observation in part a acce a. On the basis of a review of the return data, which investment appears to be more risky? Why? (Choose the best answer below.) OA. The riskier investment appears to be investment B, with returns that vary widely from the average relative to investment A, whose returns show less deviation from the average. B. The riskier investment appears to be investment A, with returns that vary widely from the average relative to investment B, whose returns show less deviation from the average. C. Investment A and investment B have equal…
Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 33% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign. - 0.5 × Ag². X Answer is complete but not entirely correct. WIndex U(A = 2) 0.0111 0.0504 0.0808 x 0.1026 0.1164 X 0.1200 X WBills 0.0 0.2 0.4 0.6 0.8 1.0 1.0 0.8 0.6 0.4 0.2 0.0
The historical returns for two investments-A and B-are summarized in the following table for the period 2016 to 2020, Use the data to answer the questions that follow. a. On the basis of a review of the return data, which investment appears to be more risky? Why? b. Calculate the standard deviation for each investment's returns. c. On the basis of your calculations in part b, which investment is more risky? Compare this conclusion to your observation in part a. a. On the basis of a review of the return data, which investment appears to be more risky? Why? (Choose the best answer below.) A. The riskier investment appears to be investment B, with returns that vary widely from the average relative to investment A, whose returns show less deviation from the average. B. Investment A and investment B have equal risk because the average returns are the same. C. The riskier investment appears to be investment A, with returns that vary widely from the average relative to investment B, whose…
Data are given as follows: (all the values are in percent) Month Average portfolio return market Average Average risk-free return rate 2.464 3.360 0.090 16.130 2.348 0.090 0.771 -1.484 0.120 -6.386 -2.437 0.120 15 -2.861 1.965 0.090 16 -7.673 2.806 0.120 0.805 -5.721 0.150 -0.372 0.327 0.150 1.508 2.464 0.150 10 2.003 2.250 0.150 11 -4.723 6.639 0.210 12 Calculate Treynor measure, Sharpe ratio, tracking error, information ratio, and hit ratio. Then, evaluate the performance of this portfolio. 2.383 4.874 0.210
The historical returns for two investments A and B—are summarized in the following table for the period 2016 to 2020, Use the data to answer the questions that follow. a. On the basis of a review of the return data, which investment appears to be more risky? Why? b. Calculate the standard deviation for each investment's returns. c. On the basis of your calculations in part b, which investment is more risky? Compare this conclusion to your observation in part a. a. On the basis of a review of the return data, which investment appears to be more risky? Why? (Choose the best answer below.) A. The riskier investment appears to be investment B, with returns that vary widely from the average relative to investment A, whose returns show less deviation from the average. B. The riskier investment appears to be investment A, with returns that vary widely from the average relative to investment B, whose returns show less deviation from the average. C. Investment A and investment B have equal risk…
The following data are available relating to the performance of Tiger Fund and the market portfolio: Tiger Market Portfolio Average return 18 % 15 % Standard deviations of returns 25 % 20 % Beta 1.25 1.00 Residual standard deviation 2 % 0 % The risk-free return during the sample period was 7%.Calculate Sharpe's measure of performance for Tiger Fund.
Chee Chew's portfolio has a beta of 1.25 and earned a return of 13.6% during the year just ended. The risk-free rate is currently 3.9%. The return on the market portfolio during the year just ended was 10.7%. a. Calculate Jensen's measure (Jensen's alpha) for Chee's portfolio for the year just ended. b. Compare the performance of Chee's portfolio found in part a to that of Carri Uhl's portfolio, which has a Jensen's measure of -0.19. Which portfolio performed better? Explain. c. Use your findings in part a to discuss the performance of Chee's portfolio during the period just ended. a. The Jensen's measure (Jensen's alpha) for Chee's portfolio is (Round to two decimal places.) (…)
Portfolio rebalancing is the process of bringing your different asset classes (stocks, bonds, and cash) back into proper relationship following a significant change in the value of one or more of them. You should monitor your investments and normally rebalance your portfolio about once a year to return your investments to their proper balance when they no longer conform to your investment plan. Suppose that you begin an investment program with a portfolio having an asset allocation of 30% bonds, 60% equities, and 10% cash investments. One year later, you find that some investments have performed better than others. After a year, the portfolio now consists of 40% bonds, 40% equities, and 20% cash investments. To rebalance this portfolio back to its original asset allocation, you should sell some of your and use the proceeds to purchase additional .
Assume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%
You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago. Required: d) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio? A B Expected return 12.5% 18.5% Standard Deviation of return 15% 20% Correlation of coefficient (p) 0.4
Your employer has asked you to investigate the firm’s portfolio risk and return. The portfolio comprises three stocks. It is invested 50 percent in stock A, 30 percent in stock B and 20 percent in stock C. You gathered the following information: a) Determine what is the portfolio’s expected return b) Determine the portfolio’s variance and standard deviation c) Assume that the expected risk-free rate is 2.75 percent. Determine the expected risk premium on the portfolio.

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