Assume that you are only concerned with systematic risk. Which of the following would be the best measure to use to rank order funds with different betas based on their risk-return relationship with the market portfolio? (a) Sharpe ratio (b) Jensen’s alpha (c) Treynor ratio (d) Sortino ratio
Systematic risk refers to the risk that cannot be diversified. So, we need to find the option that ranks the funds based on systematic risk only.
Beta (a measure of systematic risk) measures the portfolio
volatility compared to the market volatility.
Sharpe ratio uses sigma or standard deviation.
Treynor ratio measures the risk adjusted return based on systematic
risk. or beta
Hence, the correct answer is Treynor ratio.
Assume that you are only concerned with systematic risk. Which of the following would be the...
2. The risk-free rate, average returns, standard deviations, and betas for three funds and the S&P 500 are given below. Suppose the risk-free rate is 5%. Fund AvStd DevBeta | 13.6% | 13.1% 12.4% | 12.0% | 40% | 25% |30% | 15% | 1.0 1.3 1.0 S&P 500 Compute the Treynor measure, Sharpe ratio, and Jensen's alpha for portfolio A, B, and C. Based on each measure, which portfolio shows the best performance?
2. The risk-free rate, average returns,...
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio RP σP βP X 13.0 % 30 % 1.30 Y 12.0 25 1.10 Z 7.0 15 0.75 Market 10.1 20 1.00 Risk-free 5.0 0 0 What are the Sharpe ratio, Treynor ratio, and Jensen’s alpha for each portfolio?
You are holding two stocks: Stock A and Stock B. Assume the following information: Realized return: RA = 0.20, RB = 0.10 Standard deviation: SD(RA) = 0.30, SD(RB) = 0.20 BetaA = 0.87, BetaB = 1.46 rf = 0.03; the expected return on the market portfolio is 12% a. Which stock has a higher level of total risk? Which stock has a higher level of systematic risk? Explain your answer. b. What is the risk premium for Stock A and...
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio RP 13.0% 12.0 7.0 10.1 5.0 op 30% 25 15 20 Bp 1.30 1.10 0.75 1.00 Market Risk-free 0 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "O" wherever required. Do not round intermediate calculations. Round your ratio answers...
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset ВР Portfolio Rp 13.0 Оp 39 1.75 х Y 12.0 34 1.30 7.2 24 0.85 Market 11.0 29 1.00 Risk-free 5.6 0 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "O" wherever required. Do not round intermediate calculations. Round your...
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio RP 15.5% 14.5 7.4 11.7 7.0 Op 36% 31 21 26 0 Bp 1.35 1.15 0.60 1.00 Market Risk-free 0 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "O" wherever required. Do not round intermediate calculations. Round your ratio...
Assume a setting in which the risk-free rate is 4% and the CAPM holds. The market portfolio has a mean return of 16% and a return standard deviation of 30%. The data on two stocks that exist in this market are as follows. Stock X has a mean return of 10% and a standard deviation of 40%. Stock Y has a mean return of 20% and a standard deviation of 50%. The pair of stocks have a return correlation of...
15. Estimate the Sharpe, Treynor and Alpha Jensen's performance analyses fort the three portfolios below. Use the data below to complete the table. Portfolio Sharpe Treynor Jensen's Return 0.07 0.085 0.11 SD 0.15 0.12 0.095 Beta 0.8 1.05 1.4 Z 0.075 Market Risk Free 0.075 0.025 a. If you were to choose one portfolio, which one would it be? Why?
15. How does the diversification of a portfolio change its expected returns and expected risks? Is this in principle any different for internationally diversified portfolios? 16. What types of risk are present in a diversified portfolio? Which type of risk remains after the portfolio has been diversified? 17. If all national markets have market risk, is all market risk the same? 18. If an investor is able to determine a global beta for his portfolio and holds a portfolio that...
Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 4%, and the marker's average return was 11%. Performance is measured using an index model regression on excess returns Index model regression estimates R-square Residual standard deviation, (e) Standard deviation of excess returns Stock A 1% + 1.2M - rf) 2.683 12.15 23.4% Stock 8 2% + 0.8( - rf) 2.49 20.93 28.5% a. Calculate the following statistics for each...