Concept explainers
Based on current dividend yields and expected
a. If you currently hold a market-index portfolio, would you choose to add either of these portfolios to your holdings? Explain.
b. If instead you could invest only in hilts and one of these portfolios, which would you choose?
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Chapter 7 Solutions
Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
- Based on current dividend yields and expected capital gains, the expected rates or return on portfolios A and B are 12% and 18%, respectively. The beta of A is 0.7 while that of B is 1.6. The T-bill rate is currently 4% while the expected rate of return of the S&P500 Index is 13%. The standard deviation of portfolio A is 14% annually, while that of B is 26%, and that of the index is 15%. If you currently hold a market-index portfolio, would you chose to add either of these portfolios to your holdings?arrow_forwardBased on current dividend yields and expected capital gains, the expected rates or return on portfolios A and B are 12% and 18%, respectively. The beta of A is 0.7 while that of B is 1.6. The T-bill rate is currently 4% while the expected rate of return of the S&P500 Index is 13%. The standard deviation of portfolio A is 14% annually, while that of B is 26%, and that of the index is 15%. If instead you could invest only in bills and one of these porfolios, which would you choose? Use the sharpe ratio to make your desicion.arrow_forwardThe 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…arrow_forward
- 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…arrow_forwardBased on current dividend yields and expected growth rates, the expected rates of return on stocks A and B are 11% and 14%, respectively. The beta of stock A is .8, while that of stock Bis 1.5. The T-bill rate is currently 6%, while the expected rate of return on the S&P 500 index is 12%. The standard deviation of stock A is 10% annually, while that of stock B is 11%. If you currently hold a passive index portfolio, would you choose to add either of these stocks to your holdings?arrow_forwardConsider 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 0.0arrow_forward
- Portfolios A and B are actively managed. Based on current dividend yields and expected capital gains the expected rates of return on portfolios A & B are 10 and 17% respectfully. The beta of A is 0.5, while that of B is 1.4. The T bill rate is currently 2% while the expected rate of return of the S&P 500 index is 12% . The standard deviation of portfolio a is 26% annually while that of B is 35%, and that of the index is 21%. If you hold S&P 500 index and are looking to add an active component to your portfolio, which portfolio will you select?arrow_forwardThe figures below show plots of monthly rates of return on three stocks versus those of the market index. The beta and standard deviation of each stock is given beside the plot. Consider a well-diversified portfolio composed of stocks with the same beta and standard deviation as Ford. What are the beta and standard deviation of this portfolio’s return? The standard deviation of the market portfolio’s return is 20%. Use the capital asset pricing model to estimate the expected return on each stock. The risk-free rate is 4%, and the market risk premium is 8%.arrow_forwardAn analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor’s 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Rate Annual Averageof Return STANDARD DEVIATION OF RETURN BETA Portfolio X 10 13 0.40 S&P 500 12 10 1.00 T-bills 7 n/a n/a n/a = not applicable Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X 7.5 S&P 500 5arrow_forward
- Currently, the risk-free return is 3 percent, and the expected market rate of return is 9 percent. What is the expected return of the following three-stock portfolio? Account Invested Beta $350,000 1.0 $250,000 0.2 $400,000 2.5arrow_forwardA firm has a portfolio composed of stock A and B with normally distributed returns. Stock A has an annual expected return of 15% and annual volatility of 20%. The firm has a position of $100 million in stock A. Stock B has an annual expected return of 25% and an annual volatility of 30% as well. The firm has a position of $50 million in stock B. The correlation coefficient between the returns of these two stocks is 0.3. a. Compute the 5% annual VAR for the portfolio. Interpret the resulting VAR. b. What is the 5% daily VAR for the portfolio? Assume 365 days per year.arrow_forward
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTIntermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning