how to answer c 1) An analyst wants to evaluate portfolio X, using both the Treynor and Sharpemeasures of portfolio performance. The following table provides the averageannual rate of return for portfolio X, the market portfolio (as measured by theS&P 500), and US Treasury bills during the past 8 years.Average annual returnStandard deviationBetaPortfolio X10%15%0.50S&P 50011%13%1.00T-bills6%a) Calculate the Treynor and Sharpe measures for both portfolio X and theS&P 500. Briefly explain whether portfolio X underperformed, equalled,or outperformed the S&P 500 on a risk-adjusted basis using both theTreynor ratio and the Sharpe ratio.c) Calculate the M2 measure for portfolio X and explain its economicmeaning using the relevant graph.

Part (c) has been solved. Portfolio’s M2 is the excess return earned by adjusting the portfolio and…

) An analyst wants to evaluate portfolio X, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for portfolio X, the market portfolio (as measured by the S&P 500), and US Treasury bills during the past 8 years. Average annual return Standard deviation Beta Portfolio X 10% 15% 0.50 S&P 500 11% 13% 1.00 Т-bills 6% a) Calculate the Treynor and Sharpe measures for both portfolio X and the S&P 500. Briefly explain whether portfolio X underperformed, equalled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor ratio and the Sharpe ratio. c) Calculate the M² measure for portfolio X and explain its economic meaning using the relevant graph.

) An analyst wants to evaluate portfolio X, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for portfolio X, the market portfolio (as measured by the S&P 500), and US Treasury bills during the past 8 years. Average annual return Standard deviation Beta Portfolio X 10% 15% 0.50 S&P 500 11% 13% 1.00 Т-bills 6% a) Calculate the Treynor and Sharpe measures for both portfolio X and the S&P 500. Briefly explain whether portfolio X underperformed, equalled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor ratio and the Sharpe ratio. c) Calculate the M² measure for portfolio X and explain its economic meaning using the relevant graph.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 25P

See similar textbooks

Similar questions

An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?
The following table reports the percentage of stocks in a portfolio for nine quarters: a. Construct a time series plot. What type of pattern exists in the data? b. Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MSE. c. Using the exponential smoothing model you developed in part (b), what is the forecast of the percentage of stocks in a typical portfolio for the second quarter of year 3?
An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor’s 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Rate Annual Averageof Return STANDARD DEVIATION OF RETURN BETA Portfolio X 10 13 0.40 S&P 500 12 10 1.00 T-bills 7 n/a n/a n/a = not applicable Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X 7.5 S&P 500 5
An analyst wants to evaluate Portfolio X consisting entirely of US common stocks, using both the Treynor and Sharpe measures of the portfolio performance. The following table provides the average annual rate of return for the portfolio X the market portfolio (as measured by the Standard & Poor's 500 index) and US Treasury billds (Tbills) during the past eight years Average Return Standard deviation Beta Portfolio X 10% 18% 0.6 S & P 500 12% 13% 1 T bills 6% n/a n/a a. Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Briefly explain whether portfolio X underperformed, equalled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor measure and the Sharpe measure. b. Based on the performance of…
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 38% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5%. Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as shown below. (Enter your answers as decimals rounded to 4 places. Leave no cells blank - be certain to enter "0" wherever required.) WBills: WIndex: Expected Return: Variance: 0.0 1.0 0.1300 0.1444 Example 0.2 0.8 0.4 0.6 0.6 0.4 0.8 0.2 1.0 0.0
The risk-free rate is currently 8.1%. Use the data in the accompanying table for the Fio family’s portfolio and the market portfolio during the year just ended to answer the questions that follow. Data Item Fio’s Portfolio Market Portfolio Rate of return 12.8% 11.2% Standard deviation of return 15.5% 9.6% Beta 1.10 1.00 Calculate Sharpe’s measure for the portfolio and the market. Compare the two measures, and assess the performance of the Fios’ portfolio during the year ended. Calculate Treynor’s measure for the portfolio and the market. Compare the two measures, and assess the performance of the Fios’ portfolio during the year ended. Calculate Jensen’s measure. Use it to assess the performance of the Fio’s portfolio during the just ended.
(1) Based on the data in the table below in which the average yield, the standard deviation of returns and the beta coefficient of portfolios A, B and C are given for a five-year period: Portfolio Average yield Standard deviation Beta factor A 9% 2% 1,1 B 4% 3% 0,9 C -3% 5% 0,8 A) i. Which portfolio has the greatest systematic risk? Which portfolio has the greatest overall risk?
Your portfolio has had a 15% rate of return with a standard deviation of 18% and a beta of 1.1. The average return for the S&P 500 has been 11%, and the average return for US Treasury bills has been 2%. Calculate the Sharpe ratio, Treynor ratio, and Jensen’s alpha for your portfolio
2-11 We have the following information on a portfolio consisting of Stocks A, B, and C: A B C Expectd annual return 25% 20% 15% Standard Deviation of Return 35% 30% 25% Price per share 100 85 75 # shares 100,000 150,000 200,000 correlation coefficient (A,B) 0.5 correlation coefficient (A,C) 0.2 correlation coefficient (B,C) .8 number of days per year 365…
What is the expected return for the following portfolio? (State your answer in percent with two decimal places.) Stock Expected returns Investment AAA 35% $500,000 BBB 29% $1,300,000 CCC 18% $1,200,000 DDD 7% $1,500,000 O.17.13% O.19.40% O.21.01% O.22.21% O.23.88%
Assume that ASX 300 Index represents the risky portfolio. Calculate the annual return for the period 2011- 2020 for the risky portfolio using the data given for the ASX 300 Index. Year ASX 300 Index ASX 300 Dividend Yield (%) Return_risky portfolio 2010 4760.79 3.76 - 2011 4052.27 4.93 ??? 2012 4626.27 4.33 ??? 2013 5304.8 3.99 ??? 2014 5348.93 4.24 ??? 2015 5249.09 4.72 ??? 2016 5617.73 4.09 ??? 2017 6023.3 4.04 ??? 2018 5596.96 4.48 ??? 2019 6647.74 3.95 ??? 2020 6574.33 2.82 ??? Calculate the annual return for the period 2011-2020 for the risk-free asset using the data given for the risk-free asset Year Risk free rate (%) Return_risk-free asset 2011 5.03 2012 4.51 ??? 2013 3.11 ??? 2014 2.61 ??? 2015 2.75 ??? 2016 2.34 ??? 2017 1.78 ??? 2018 1.77 ??? 2019 2.02 ??? 2020…
Consider a position consisting of 200,000 investment in asset A and 300,000 investment in asset B. Assume that the daily volatility of the assets are 1.5% and 1.8% respectively, and that coefficient of correlation between their returns is 0.4. What is the five day 95% VAR for the portfolio (given 95% confidence level represents 1.65 standard deviations on the left side of the normal distribution)?