5. A market analyst determines 61.3% of mid-cap funds available to be added to his client's portfolio outperformed their S&P benchmarks over the past 3 years. (a) When choosing funds at random, what is the likelihood the first fund to outperform its benchmark happens in less than six tries? (b) What is the likelihood in a random group if 12 funds, at least eight outperform their benchmarks?
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- 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 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% 1.2 (0.80) 4% X Answer is complete but not entirely correct. Information ratio Market Portfolio Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) 10% 21% 1 0%Calculate the returns as per sharpe's, treynor and jensen performance measures and comment on the best investmentThe 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 14.5% 24.6% 1.4 S&P 500 14.5% 21.3% 1 Risk-free 1% Calculate the Sharpe measure of performance for the S&P 500.
- A financial planner is examining the portfolios held by several of her clients. Which of the following portfolios is likely to have the smallest standard deviation? OA portfolio with 10 randomly selected U.S. stocks. O A portfolio with 10 randomly selected international stocks. OA portfolio with 10 randomly selected stocks from U.S. and international markets. Portfolio managers pick stocks for their clients' portfolios based on the investment objective of the portfolio and several other factors. One key consideration is each stock's contribution to portfolio risk and its statistical relationship with the portfolio's other stocks. Based on your understanding of portfolio risk, identify whether each statement is true or false. Statement A portfolio's risk is likely to be smaller than the average of all stocks' standard deviations, because diversification lowers the portfolio's risk. Because of the effects of diversification, the portfolio's risk is likely to be more than the average of…Investor has had the following returns in the Magic Fund for the past 4 years: 15%, 25%, -30%, 18%. c) State whether the annual geometric return (assume positive) should be higher, lower, or the same as the annual arithmetic return. Neither calculation nor explanation is necessary. d) State which measure, annual arithmetic return or annual geometric return, better represents how an investment performed over time. Neither calculation nor explanation is necessary.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: 1.2345
- 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 25.7% 29% 1.3 S&P 500 17.9% 20% 1 Risk-free 3.8% Calculate the M2 measure of performance for Fund A. Use the correct sign if the answer is negative! Example: -1.23Consider the following information for three stocks, Stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Standard Deviation Stock Expected Return A 8.88% B с X 10.82 12.76 THATH 14% 14 14 Beta 0.8 1.2 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5%, and the market is in equilibrium. (That is, required returns equal expected returns.) The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below. 1.6 Open spreadsheet a. What is the market risk premium (H-AF)? Round your answer to two decimal places. b. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. c. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two…An investor considers two mutual funds. Based on past experience, the first fund has an expected return of 0.08 and a standard deviation of 0.05. The second fund has an expected return of 0.07 and a standard deviation of 0.06. There is no reason to assume that future performance of these funds will differ from past performance. However, the second fund has a guarantee attached that the return in any year will not be negative.RequiredA. Which fund would a rational investor be likely to buy according to single-person decision theory?B. The investor buys the second fund. Use prospect theory to explain why.
- Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A B с 9.30% 10.35 12.10 14% 14 14 0.8 1.1 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 6.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (гM-TRF)? Round your answer to one decimal place. % b. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. c. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. % d. What would you expect the standard deviation of Fund P to be? I. Less than 14% II. Greater than 14% III. Equal to 14% -Select-a) Calculate Sharpe's measure of performance for Wildcat Fund. b) Calculate Treynor's measure of performance for Wildcat Fund.An investor can design a risky portfolio based on two funds, HighYieldBond and SmallCapStock. Fund HighYieldBond has an expected return of 20% and a standard deviation of return of 34%. Fund SmallCapStock has an expected return of 25% and a standard deviation of return of 38%. The correlation coefficient between the returns on HighYieldBond and SmallCapStock is 0.31. If an investor puts 0.45 into fund HighYieldBond, what is the standard deviation of the return on this portfolio?