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- Which one of the following best describes an arithmetic average return? Multiple Choice A. Total return divided by N − 1, where N equals the number of individual returns B. Average compound return earned per year over a multiyear period C. Total compound return divided by the number of individual returns D. Return earned in an average year over a multiyear period E. Positive square root of the average compound returnUse the following information to compute the standard deviation of returns: Yearly Returns Year Return (%) 1 19 2 1 3 10 4 26 5 4 a. 12% b. 10.42% c. 0.87% d. 108.5%es Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than -4.1 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter…
- Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than –4.1 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations…Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.2 percent and the standard deviation was 10.6 percent. a. What is the probability that your return on this asset will be less than -9.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question. Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What range of returns would you expect to see 95 percent of the time? Note: Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. What range of returns would you expect to see 99 percent of the time? Note: Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and…Consider that you have $4,332,989 to invest across three assets using the price weighted methodology. Your analysis of these assets has provided the information in the two tables below. (Note: numbers in red are negative) Asset Price at beginning of the year (in $) Expected price at the end of the year (in $) Standard deviation (%) Correlation A B C A 1.00 0.84 0.78 c. In dollars and cents, what is the expected value of this portfolio after 12 months? d. What is the standard deviation of this portfolio, in percentage terms? A B 155.55 137.22 182.22 164.77 42.11 Required a. What is the expected compound annual growth rate of return for this portfolio, in percentage terms? b. What is the expected continuously compounded return on this portfolio in percentage terms? B 0.84 1.00 0.44 41.50 с 0.78 0.44 1.00 C 88.14 104.12 42.33
- Analysis of sales (the independent variable) to cash flows (the dependent variable) data for linear regression produces an intercept of -$124,666 and a slope of 0.1823. Which correctly explains the slope value? If sales rise by one-dollar, net cash flow would increase by 18.23% 1823 is multiplied by the current period actual and (1 - 0.1823) is multiplied by the current period forecast If sales drop by one-dollar, net cash flow would drop by $0.1823 23% of the change in net cash flow is explained by the change in net salesBased on the following information, what is the standard deviation of returns? State of Economy Probability of State of Economy Rate of Return if State Occurs Recession .22 −.090 Normal .47 .105 Boom .31 .215Use the following information to compute the standard deviation of returns: Yearly Returns Year Return (%) 1 19 2 1 3 10 4 26 5 4
- Calculate the standard deviation of this scenario Outcome 1: Recession. Probability = 40% . Return = 7.38%. Outcome 1: Recovery. Probability = 60%. Return = 17.27 %. Answer in % terms w/o % sign and to 4 decimal places (1.2345)Calculate the arithmetic average for the following returns: Year Return O 2.4 % O 2.2% O 3.1% O 3.4% Calculate the geometric average for the following returns: Year Return O 2.2% O 2.4% O 3.1% O 3.4% Calculate the standard deviation for the following returns: Year Return O 8.4% O 8.1% O 7.6% O 7.3% 2017 12.03% 2017 12.03% 2017 12.03% 2018 -8.24% 2018 -8.24% 2018 -8.24% 2019 1.34% 2019 1.34% 2019 1.34% 2020 4.55% 2020 4.55% 2020 4.55%Given the following historical returns, calculate the average return and the standard deviation: Year Return 1 14% 2 10% 3 15% 4 11%