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- The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn’t change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. What percent of years does this portfolio lose money, i.e. have a return less than 0%? What is the cutoff for the highest 15% of annual returns with this portfolio?The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (please round answers to within one hundredth of a percent) (a) What percent of years does this portfolio lose money, i.e. have a return less than 0%? (b) What is the cutoff for the highest 15% of annual returns with this portfolio?Alex Moore is 43 years old and has accumulated $78,000 in his self-directed defined contribution pension plan. Each year he contributes $1.500 to the plan, and his employer contributes an equal amount. Alex thinks he will retire at age 60 and figures he will live to age 83. The plan allows for two types of Investments. One offers a 4% risk-free real rate of return. The other offers an expected return of 10% and has a standard deviation of 34%. Alex now has 40% of his money in the risk free investment and 60% in the risky investment. He plans to continue saving at the same rate and keep the same proportions invested in each of the investments His salary will grow at the same rate as inflation How much can Alex expect to have in his risky account at retirement? Multiple Choice $158.982 $309,530 $543781 $224,651
- Please answer B and C. The Knowles/Armitage (KA) group at Merrill Lynch advises clients on how to create a diversified investment portfolio. One of the investment alternatives they make available to clients is the All World Fund composed of global stocks with good dividend yields. One of their clients is interested in a portfolio consisting of investment in the All World Fund and a treasury bond fund. The expected percent return of an investment in the All World Fund is 10% with a standard deviation of 17.60% . The expected percent return of an investment in a treasury bond fund is 5.90% and the standard deviation is 3.60%. The covariance of an investment in the All World Fund with an investment in a treasury bond fund is -14.5. b. If KA recommends that the client invest 75% in the All World Fund and 25% in the treasury bond fund, what is the expected percent return and standard deviation for such a portfolio? What would be the expected return and standard deviation, in dollars, for…A proposed project has the following cash flow estimates. Assuming independent cash flows, a normally distributed net present value, and a minimum attractive rate of return of 18%, determine the following. For the following questions, employ an analytical solution: a. The mean and standard deviation of net present value. b. The probability that the net present value is positive. c. The probability that the net present value is greater than $5,000. Assume the initial investment and annual receipts are normally distributed. d. Using a Monte Carlo simulation with 10,000 iterations, estimate the probability that the present worth is positive and estimate the probability that the present worth is greater than $5,000.A proposed project has the following cash flow estimates.Assuming statistically independent cash flows, a normally distributed net present value, and a minimum attractive rate of return of 15%, determine the following. For the following questions, employ an analytical solution: a. the mean and standard deviation of net present value. b. the probability that the net present value is negative. c. the probability that the net present value is greater than $1,000,000. Assume the initial investment and annual receipts are normally distributed. d. Using a Monte Carlo simulation with 10,000 iterations, estimate the probability that the present worth is negative.
- 3.8 CAPM: The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (please round answers to within one hundredth of a percent) (a) What percent of years does this portfolio lose money, i.e. have a return less than 0%? % (b) What is the cutoff for the highest 15% of annual returns with this portfolio? %3.8 CAPM: The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money.(please round answers to within one hundredth of a percent)(a) What percent of years does this portfolio lose money, i.e. have a return less than 0%? %(b) What is the cutoff for the highest 15% of annual returns with this portfolio? %A proposed project has the following cash flow estimates: Part a End of Year Mean Net Cash Flow Standard Deviation of Cash Flow Part b 0 ~ 3 Probability: 4 5 $-35,000 Click here to access the TVM Factor Table Calculator $3,800 $8.100 $12.400 % $12,400 $12,400 The probability that the net present value is positive. Assuming independent cash flows, a normally distributed net present value, and a minimum attractive rate of return of 18%, determine an analytical solution for the following: $750 $1,800 $2.900 $4.900 $6.100 $7,000 4
- 20. Investing: Socially Responsible Mutual Funds Pax World Balanced is a highly respected, socially responsible mutual fund of stocks and bonds (see Viewpoint). Vanguard Balanced Index is another highly regarded fund that represents the entire U.S. stock and bond market (an index fund). The mean and standard deviation of annualized percent returns are shown below. The annualized mean and standard deviation are for a recent 10-year period (Source: Fund Reports). Pax World Balanced: x 9.58%; s = 14.05% Vanguard Balanced Index: x 9.02%; s = 12.50% (a) Interpretation Compute the coefficient of variation for each fund. Ifx represents return and s represents risk, then explain why the coefficient of variation can be taken to represent risk per unit of return. From this point of view, which fund appears to be better? Explain. (b) Interpretation Compute a 75% Chebyshev interval around the mean for each fund. Use the intervals to compare the two funds. As usual, past per- formance does not…An investor wants to invest $300,000 in a portfolio of three mutual funds. The annual fund returns are normally distributed with a mean of 2% and standard deviation of 0.3% for the short-term investment fund, a mean of 5% and standard deviation of 3% for the intermediate-term fund, and a mean of 6.2% and standard deviation of 5% for the long-term fund. An initial plan for the investment allocation is 45% in the short-term fund, 35% in the intermediate-term fund, and 20% in the long-term fund. Use Analysis ToolPak, with a seed of 1, to develop a Monte Carlo simulation with 1000 trials to estimate the mean ending balance after the first year. Note: Round the final answer to two decimal places. If the allocation is changed to 30% short-term, 55% intermediate-term, and 15% long-term, estimate the ending balance after the first year. Note: Round the final answer to two decimal places. Compare the two investment strategies in parts a and b and choose the most appropriate answer…Suppose that 2% of the employed lose their job each month. Further suppose that 25% of the unemployed find a job each month. a. What is the average duration of employment in this labor market? b. Do you think this is a reasonable figure given estimates of the natural rate? Why or why not? c. If you wanted to reduce the steady-state level of unemployment, what type of policies might you pursue and why?