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 26% 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 0.0 0.2 0.4 0.6 0.8 1.0 WIndex 1.0 0.8 0.6 0.4 0.2 0.0 Expected Return 0.1300 Variance 0.0676 Example

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 26% 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 0.0 0.2 0.4 0.6 0.8 1.0 WIndex 1.0 0.8 0.6 0.4 0.2 0.0 Expected Return 0.1300 Variance 0.0676 Example

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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 31% per year. Assume these values are representative of Investors' expectations for future performance and that the current T-bill rate is 3%. Calculate the utility levels of each portfolio for an Investor with A = 2. Assume the utility function is u = E(r) - 8.5 x Ao². Note: Do not round Intermediate calculations. Round your answers to 4 decimal places. Negative amounts should be Indicated by a minus sign. W Bills 0.0 0.2 0.4 0.6 0.8 1.0 Windex 1.0 0.8 0.6 0.4 Oo 0.2 0.0 U(A = 2)
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 33% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign. - 0.5 × Ag². X Answer is complete but not entirely correct. WIndex U(A = 2) 0.0111 0.0504 0.0808 x 0.1026 0.1164 X 0.1200 X WBills 0.0 0.2 0.4 0.6 0.8 1.0 1.0 0.8 0.6 0.4 0.2 0.0
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 28% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 6%. Calculate the utility levels of each portfolio for an investor with A-2. Assume the utility function is U = E(r) - 0.5 x Ao². (Do not round intermediate calculations. Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign.) WBills 0.0 0.2 0.4 0.6 0.8 1.0 Windex 1.0 0.8 0.6 0.4 0.2 0.0 U(A=2)
Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 90 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 20% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5%. Calculate the utility levels of each portfolio for an investor with A = 3. Assume the utility function is u = round intermediate calculations. Round your answers to 4 decimal places.) E(r) WBills 0.0 0.2 0.4 0.6 0.8 1.0 Windex 1.0 0.8 0.6 0.4 0.2 0.0 U(A = 3) 0.5 × Ao². (Do not
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 34% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 2%. x Ao². Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) - 0.5 × Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign. W Bills 0.0 0.2 0.4 0.6 0.8 1.0 WIndex 1.0 0.8 0.6 0.4 0.2 0.0 U(A = 2)
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 35% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 3%. Calculate the utility levels of each portfolio for an investor with A 2. Assume the utility function is u 8(2)-0.5 A². (Do not round intermediate calculations. Round your answers to 4 decimal places. Negative amounts should be indieated by a minus sign. WBills 0.0 0.2 04 0.6 0.8 1.0 Windex 1.0 0.8 0.6 0.4 0.2 0.0 U(A=2)
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 28% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 2%. Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as shown below. Note: Round your "Expected Return" answers to 2 decimal places and "Variance" answers to 4 decimal places. WBills 0.0 0.2 0.4 0.6 0.8 1.0 WIndex 1.0 0.8 0.6 0.4 0.2 0.0 Expected Return 10.00 % % % % % % Variance 0.0784 Example
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 25% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. 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.) W Bills 0.0 0.2 0.4 0.6 0.8 1.0 WIndex 1.0 0.8 0.6 0.4 0.2 0.0 Expected Return 0.1200 Variance 0.0625 Example
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 25% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. 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 "O" wherever required.) WBills WIndex Expected Return Variance 0.0 1.0 0.1200 0.0625 Example 0.2 0.8 0.4 0.6 0.6 0.4 0.8 0.2 1.0 0.0
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…
An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.'s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst's prediction. Happy Corp.'s new required rate of return is Tool tip: Mouse over the points on the graph to see their coordinates. REQUIRED RATE OF RETURN (Percent) 1.2 1.6 2.0 0.8 RISK (Beta) New SML ? The SML helps determine the risk-aversion level among investors. The higher the level of risk aversion, the the slope of the SML. Which of the following statements best describes the shape of the SML if investors were not at all risk averse? O The SML would be a horizontal line. O The SML would have a negative slope. O The SML would have a positive slope, but the slope would be steeper than it would be if…
years has averaged Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 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 2%. Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as shown below. Note: Round your "Expected Return" answers to 2 decimal places and "Variance" answers to 4 decimal places. WBills 0.0 02 0.4 0.6 0.8 1.0 Windex 1.0 0.8 OC 0.6 04 0.2 0.0 Expected Return 10.00 % % % % % % Variance 0.1444 Example

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