6. The table below provides returns on a portfolio along with returns for the corresponding benchmark index for the past eight quarters. The table also provides the difference between portfolio returns and the benchmark index. What is the annualized tracking error of the portfolio?
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- What is the standard deviation of the returns of a portfolio that produced returns of -14%, 30%, and -19% over the last three years? (answer in percent, but without the percent sign, e.g. "7.25" is 7.25%)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 51. Consider stocks A and B with the following past returns: Month 1 2 3 4 A 4% 6% 8% 2% B 10% 8% 4% 6% The contribution of stock B to the standard deviation of a portfolio composed of 30% A and 70% B is?
- 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.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
- For the upcoming year, the risk-free rate is 2 percent, and the expected return to the market is 7 percent. You are also given the following covariance matrix for Securities J,K, andL. \table[[Covariance,Security J,Security K,Security L],[Security J,0.0012532,0.0010344,0.0019711],[Security K,0.0010344,0.0023717,0.0013558],[Security L,0.0019711,0.0013558,0.0048442]] Also assume that you form a portfolio by putting 0 percent of your funds in Security J, 40 percent of your funds in Security K, and 60 percent of your funds in Security L. Based on this information, determine the standard deviation of the resulting portfolio. ◻ 6.47% 5.27% 4.98% 5.82% 4.77%Stock A has the following returns over the past periods. Calculate the downside risk measured by semi-variance? (answer with 4 decimal spaces) 0.0057 -0.0255 0.0621 -0.0879 -0.0983 0.0813 0.0356 -0.0015 -0.0307 0.0427 0.0297 0.0192The returns on a portfolio over the last five years were: -5.2 percent, 21.6 percent, 4.5 percent, 11.7 percent, and 5.9 percent. What is the standard deviation of these returns?
- Below are the annual returns provided by TSCM. Calculate average annual return experienced by an investor over the last five years. Calculate the standard deviation of the portfolio return over this period. (See sheet "TSCM" in the attached Excel.) Period Return 2021 -51.0% 2020 43.0% 2019 61.0% 2018 -5.0% 2017 -19.0% In the year 2022, TSCM return is 21%. Calculate TSCM's Jensen's Alpha for the year period in annual terms. Use the below data. Beta = 2.3 Risk-free rate = 1% Expected Market Return = 8%An investor recorded the following annual returns of one of his investments. You are required to calculate and comment on; 1. Mean return. 2. Variance and standard deviation of the return. 3. Geometric return. Year 2016 2017 2018 2019 2020 Return 15% 17% 19% 10% -5%Observe the mean, the standard deviation, and the CV of the annual rate of return of the portfolio. Tesla Historical Annual Stock Price Data Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2020 289.9971 86.0520 705.6700 72.2440 705.6700 743.44% 2019 54.7060 62.0240 86.1880 35.7940 83.6660 25.70% 2018 63.4620 64.1060 75.9140 50.1120 66.5600 6.89% 2017 62.8633 43.3980 77.0000 43.3980 62.2700 45.70% 2016 41.9535 44.6820 53.0840 28.7340 42.7380 -10.97% 2015 46.0085 43.8620 56.4520 37.0000 48.0020 7.91% 2014 44.6658 30.0200 57.2080 27.8680 44.4820 47.85% 2013 20.8803 7.0720 38.6740 6.5820 30.0858 344.14% 2012 6.2337 5.6160 7.6020 4.5580 6.7740 18.59% 2011 5.3609 5.3240 6.9880 4.3660 5.7120 7.25% 2010 4.6683 4.7780 7.0940 3.1600 5.3260 0.00% Amazon Historical Annual Stock Price Data Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2021 3315.9774 3186.6300 3731.4100 2951.9500…