The Layton Growth Fund has an alpha of 2.7 percent. You have determined that Layton’s information ratio is 0.45. What must Layton’s tracking error be relative to its benchmark? (Enter your answer as a percent rounded to 2 decimal places.)
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- In a recent 5-year period, mutual fund manager Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison. 1 2 3 4 5 Fund −1.3 +23.9 +41.8 +10.8 +0.4 Market index −0.6 +15.0 +31.3 +9.8 −0.8 a. Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Did Ms. Sauros do better or worse than the market index on these measures?1.) On a single chart, plot the value of $1 invested in each of the five indexes over time. I.e., for all ??, plot the cumulative return series for each index: ?????? = (1 + ?��1)(1 + ?��2)...(1 + ????) What patterns do you observe? (10 points) 2.) Plot a histogram of only the Global index returns. Does the distribution look normal? (5 points) 3.) Estimate the following for each of the indices. In calculating the statistics, “monthly” can be interpreted as “not annualized”. (30 points) a. Arithmetic average of monthly returns, and annualized arithmetic return using the APR method b. Geometric average of monthly returns, and annualized geometric return using the EAR method. Why does the geometric average differ from the arithmetic average? c. Standard deviation of monthly returns, and annualized standard deviation d. Sharpe Ratio of monthly returns, and annualized Sharpe Ratio e. Skewness of monthly returns f. Kurtosis of monthly returns g. 5% Value at Risk (VaR) of…In a recent 5tear period, mutual fund manager Diana sharks produced the following percentage rates of return for the Mesozoic fund. Rates of return on the market index are given for comparison. A. Calculate the average return on both the fund and the index and the standard deviation of the returns on each. Did Ms. Sauros do better or worse than the market index on these measures?
- Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk-free return during the sample period was 4%. Guardian Market Portfolio Average return 14 % 10 % Standard deviation of returns 27 % 21 % Beta 1.5 1 Residual standard deviation 4 % 0 % Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.)Consider the following information and then calculate the required rate of return for the Scientific Investment Fund, which holds 4 stocks. The market's required rate of return is 16 %, the risk-free rate is 7 %, and the Fund's assets are as follows: Stock Investment Beta A $ 200,000 1.50 B 300,000 -0.50 C 500,000 1.25 D 1,000,000 1.1 Round it to two decimal places without the percent sign (%), e.g., 13.54.You invested $90,000 in a mutual fund at the beginning of the year when the NAV was $54.3. At the end of the year, the fund paid $.40 in short-term distributions and $.57 in long-term distributions. If the NAV of the fund at the end of the year was $63.94, what was your return for the year? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
- You want to evaluate three mutual funds using the Sharpe measure for performance evaluation. The risk-free return during the sample period is 4%. The average returns, standard deviations, and betas for the three funds are given below, as are the data for the S&P 500 Index. Average Return Standard Deviation Beta Fund A 18 % 38 % 1.6 Fund B 15 % 27 % 1.3 Fund C 11 % 24 % 1.0 S&P 500 10 % 22 % 1.0 The fund with the highest Sharpe measure isConsider the following two assets. The first is a stock fund, the second is a long-term government and corporate bond fund. The probability distribution of the funds is as follows: Expected ret std. dev. Stock fund 24% 28% Bond fund 11% 14% The correlation between the fund returns is 0.2. What is the investment proportion in the minimum variance portfolio of the bond fund? Round your answer to 4 decimal places. For example, if your answer is 3.205%, then please write down 0.0321 .During the past 10 years, the percent returns on two mutual funds (aggressive and passive) expressed in percentages were as follows: Year Aggressive Fund Passive Fund-100% 2%-96% 2%-80% 2% -73% 4% -67% 3%-50% 2% 45% 4% 31% 3% 22% 2% Last Year 3% 4% Note that this is a sample of returns. a) Compute the expected return for the two funds. Round your answers to two decimal places. Aggressive = Number Passive = Number b) Compute the variance and standard deviation of the returns of the two funds. Round your answers to two decimal places. Variance: Aggressive = Number Passive = Number Standard Deviation:Aggressive = Number % Passive =Number %
- The average return, standard deviation, and beta for Fund A is given below along with data for the S&P 500 Index. Fund Average Return Standard Deviation Beta A 14% 24% 1.21 S&P 500 17.4% 19.4% 1 Risk-free 5.1% Calculate the Treynor measure of performance for the S&P 500. Convert percentages to decimal places before calculating your answer. ENTER your answer using FOUR DECIMAL places.Example: 1.2345You are given the following information concerning several mutual funds: Fund Return in Excess of the Treasury Bill Rate Beta A 12.4% 1.14 B 13.2% 1.22 C 11.4% 0.90 D 9.8% 0.76 E 12.6% 0.95 During the time period, the Standard & Poor's stock index exceeded the Treasury bill rate by 10.5 percent (i.e., r(m) - r(f) = 10.5%) a. Rank the performance of each fund without adjusting for risk and adjusting for risk using the Treynor index. Which, if any, outperformed the market? (Remember, the beta of the market is 1.0.) b. The analysis in part (a) assumes each fund is sufficiently diversified so that the appropriate measure of risk is the beta coefficient. Suppose,…Vega fund had return of 14%, a beta of 0.9, in a standard deviation of 27% last year 20 bills generated 3%. At the same time, the market portfolio generated return of 13% and the standard deviation of 22%. What is the information ratio of Vega fund ?
