A portfolio with a 25% standard deviation generated a return of 15% last year when T-bills were paying 4.5%. This portfolio had a Sharpe ratio of ____.
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
A portfolio with a 25% standard deviation generated a return of 15% last year when T-bills were paying 4.5%. This portfolio had a Sharpe ratio of ____.
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- A portfolio with a 25% standard deviation generated a return of 15% last year when T-bills were paying 4.5%. This portfolio had a Sharpe measure 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 0.0Vega fund had return of 12%, a beta of 1.2, in a standard deviation of 25% last year t bills generated 2%. At the same time, the market portfolio generated return of 11% and the standard deviation of 20%. What is the information ratio of Vega fund ?
- 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 portfolioWhat is the expected return of a portfolio that has $8,000 invested in S and $2,000 invested in T? The risk-free rate is 6% and the market portfolio's return is 14%. Do you expect the investment to be a good one for the coming year if betas for the two portfolio components are 0.6 and 1.3, respectively?Your portfolio has provided you with returns of 8.6 percent, 14.2 percent, -3.7 percent, and 12.0 percent over the past four years. respectively. What is the geometric average return for this period? a). 7.78%b). 5.99%c). 7.54%
- The 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?Security F has an expected return of 10 percent and a standard deviation of 43 percent per year. Security G has an expected return of 15 percent and a standard deviation of 62 percent per year. Required: (a) What is the expected return on a portfolio composed of 30 percent of Security F and 70 percent of Security G? (b) If the correlation between the returns of Security F and Security G is .25, what is the standard deviation of the portfolio described in part (a)?Tyler Trucks stock has an annual return mean and standard deviation of 10 percent and 26 percent, respectively. Michael Moped Manufacturing stock has an annual return mean and standard deviation of 18 percent and 62 percent, respectively. Your portfolio allocates equal funds to Tyler Trucks stock and Michael Moped Manufacturing stock. The return correlation between Tyler Trucks and Michael Moped Manufacturing is .5. What is the smallest expected loss for your portfolio in the coming month with a probability of 5 percent?
- The stock of Jones Trucking is expected to return 16 percent annually with a standard deviation of 7 percent. The stock of Bush Steel Mills is expected to return 21 percent annually with a standard deviation of 13 percent. The correlation between the returns from the two securities has been estimated to be +0.4. The beta of the Jones stock is 1.1, and the beta of the Bush stock is 1.4. The risk-free rate of return is expected to be 6 percent, and the expected return on the market portfolio is 16 percent. The current dividend for Jones is $5. The current dividend for Bush is $7. What is the expected return from a portfolio containing the two securities if 30 percent of your wealth is invested in Jones and 70 percent is invested in Bush? Round your answer to one decimal place. % What is the expected standard deviation of the portfolio of the two stocks? Round your answer to two decimal places. % Which stock is the better buy in the current market? Round your answers to one decimal…The stock of Jones Trucking is expected to return 16 percent annually with a standard deviation of 7 percent. The stock of Bush Steel Mills is expected to return 21 percent annually with a standard deviation of 13 percent. The correlation between the returns from the two securities has been estimated to be +0.4. The beta of the Jones stock is 1.1, and the beta of the Bush stock is 1.4. The risk-free rate of return is expected to be 6 percent, and the expected return on the market portfolio is 16 percent. The current dividend for Jones is $5. The current dividend for Bush is $7. What is the expected return from a portfolio containing the two securities if 30 percent of your wealth is invested in Jones and 70 percent is invested in Bush? Round your answer to one decimal place. % What is the expected standard deviation of the portfolio of the two stocks? Round your answer to two decimal places. % Which stock is the better buy in the current market? Round your answers to one decimal…During the past 5-year, the monthly average return and standard deviation of Netflix (NFLX) stock were 3.5% and 10%, respectively. For the same period, the monthly average return and standard deviation of Verizon (VZ) were 0.6% and 4.6%, respectively. The correlation between NFLX and VZ was -0.1. Assume that the monthly risk-free rate is 0.1%. ) What is the Sharpe ratio for NFLX? What is the Sharpe ratio for VZ? Show your calculation steps briefly and clearly. Find the minimum-variance portfolio (MVP), i.e., the weight of NFLX and VZ in the MVP. You do not need to show your calculation steps for this subquestion. Find the optimal risky portfolio P*, i.e., the weight of NFLX and VZ in P*. You do not need to show your calculation steps for this subquestion. Calculate the Sharpe ratio for the optimal risky portfolio P*. Verify that P* offers a higher Sharpe ratio than NFLX and VZ.