During the year just ended, Anna Schultz's portfolio, which has a beta of 0.97, earned a return of 8.3%. The risk-free rate is currently 4.1%, and the return on the market portfolio during the year just ended was 8.9%. a. Calculate Treynor's measure for Anna's portfolio for the year just ended. b. Compare the performance of Anna's portfolio found in part a to that of Stacey Quant's portfolio, which has a Treynor's measure of 1.29%. Which portfolio performed better? Explain. c. Calculate Treynor's measure for the market portfolio for the year just ended. d. Use your findings in parts a and c to discuss the performance of Anna's portfolio relative to the market during the year just ended.
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- The following table reports the percentage of stocks in a portfolio for nine quarters: a. Construct a time series plot. What type of pattern exists in the data? b. Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MSE. c. Using the exponential smoothing model you developed in part (b), what is the forecast of the percentage of stocks in a typical portfolio for the second quarter of year 3?Using the data in the table, consider a portfolio that maintains a 35% weight on stock A and a 65% weight on stock B. a. What is the return each year of this portfolio? (2010-2015) b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks.Using the data in the following table, LOADING... , consider a portfolio that maintains a 75% weight on stock A and a 25% weight on stock B. a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. Question content area bottom Part 1 a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below: (Round to two decimal places.) Year 2010 2011 2012 2013 2014 2015 Portfolio enter your response here% enter your response here% enter your response…
- During a particular year, the T-bill rate was 6%, the market return was 14%, and a portfolio manager with beta of .5 realized a return of 10%.a. Evaluate the manager based on the portfolio alpha.b. Reconsider your answer to part (a) in view of the Black-Jensen-Scholes finding that the security market line is too flat. Now how do you assess the manager’s performance?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.Landon Stevens is evaluating the expected performance of two common stocks, Furhman Labs, Inc., and Garten Testing, Inc. The risk-free rate is 4 percent, the expected return on the market is 11.5 percent, and the betas of the two stocks are 1.2 and .9, respectively. Landon’s own forecasts of the returns on the two stocks are 13.75 percent for Furhman Labs and 10.50 percent for Garten. Calculate the required return for each stock. Is each stock undervalued, fairly valued, or overvalued?
- Recently, Kellie determined that the required rate of return for Stock Q is 11 percent. In her analysis she determined that the risk-free rate of return, r is 4 percent and that the required return on the market portfolio, r is 9 percent. Today, however, Kellie received new information that indicates the market risk premium, RP is actually 1 percent higher than she estimated in her original analysis. Based on this new information, what should be the required rate of return for Stock Q?You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 12 percent and 15 percent, respectively. The standard deviations of the assets are 29 percent and 48 percent, respectively. The correlation between the two assets is .25 and the risk-free rate is 5 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5 percent?Consider a position consisting of 200,000 investment in asset A and 300,000 investment in asset B. Assume that the daily volatility of the assets are 1.5% and 1.8% respectively, and that coefficient of correlation between their returns is 0.4. What is the five day 95% VAR for the portfolio (given 95% confidence level represents 1.65 standard deviations on the left side of the normal distribution)?
- Your employer has asked you to investigate the firm’s portfolio risk and return. The portfolio comprises three stocks. It is invested 50 percent in stock A, 30 percent in stock B and 20 percent in stock C. You gathered the following information: a) Determine what is the portfolio’s expected return b) Determine the portfolio’s variance and standard deviation c) Assume that the expected risk-free rate is 2.75 percent. Determine the expected risk premium on the portfolio.You are a portfolio manager at PT. Sukses Selalu Sekuritas. You manage a portfolio of 5 stocks: A, B, C, D, and E. The following table provides the stocks return for the last 5 years: Calculate the Expected Return and Standard Deviation of each stock. Without any inclusion of risk-free assets in the formation of the portfolios, what is the assets proportion of the minimum variance and maximum return portfolios? Calculate the expected return and standard deviation for both portfolios. Suppose there is a risk-free asset with a 5% return and a condition in which short sales are allowed, whilst both the borrowing and lending can be obtained at a risk- free rate. What would be the new portion of each asset, including risk-free assets for the maximum return portfolio? Calculate the portfolio’s expected return and its standard deviation.David established an investment portfolio of two blue chips four years ago: Gold share and Silver Bond. Gold share accounts for 65% of his investment portfolio. Required: If David’s portfolio has provided the returns of 9.5%, 11.3%, - 12.5% and 15.6% over the past four years, respectively. Calculate geometric average return of the portfolio for this period? Assume that the below data is available for David’s portfolio performance, calculate the expected return, variance and standard deviation of the portfolio. Assume that expected return of the Gold share in David’s portfolio is 14.5%. The share’s beta coefficient is 1.5. Market risk premium is 7.5. Calculate the risk-free rate using Capital Asset Pricing Model Assume that David bought 2000 of Gold shares in his portfolio for a price of $75 each, the dividend paid for this stock is $7/stock each year. The current market price of this share is $135. Calculate the capital gain yield of this investment after four years