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- Assume that you have obtained the following information for Asset A: Rate of Return Probability 5.5% 25% 7.25% 55% 11% 20% Compute the expected rate of return for Asset A, using the information provided in thechart above Assume that the standard deviation of the expected returns for Asset A is 1.87%. With information and the expected rate of return that you calculated for Asset A in Part A of this problem, compute the co-efficient of variation for Asset A.Show your work (use of formula, etc.) in solving the problem. Provide your answer/solution in the answer space provided below. Answer the question: Given the following historical returns, calculate the average return and the standard deviation: Year Return 1 14% 2 10% 3 15% 4 11%uppose the average return on Asset A is 7.1 percent and the standard deviation is 8.3 percent, and the average return and standard deviation on Asset B are 4.2 percent and 3.6 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions. a. What is the probability that in any given year, the return on Asset A will be greater than 12 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 12 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.38 percent. How likely is it that such a low return will recur at some point in the future? (Do not round…
- Suppose the average return on Asset A is 6.6 percent and the standard deviation is 8.6 percent and the average return and standard deviation on Asset B are 3.8 percent and 3.2 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions. a. What is the probability that in any given year, the return on Asset A will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.25 percent. How likely is it that such a low return will recur at some point in the future? (Do…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 5.2 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…
- 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…Calculate the project's coefficient of variation. (Hint: Use the expected NPV.) Squared dev. Prob. NPV NPVI - E(NPV) Squared deviation times probability 0.24 $6,289.81 $5,829 SS 0.24 -$2,390.74 -$2,852 S$ 0.32 -$1,233.33 -$1,694 $$ 0.20-$ 400.00 -$861 $$ 100 $ 461.11 Variance S Standard deviation $ 5.87 6.52 7.25 7.97 8.77The probability distributions of expected returns for the assets are shown in the following table: Asset A Prob Return 0.2 -5% 0.4 10% 0.4 15% a) Calculate the expected return for asset A. b) Calculate the standard deviation for asset A.
- Calculate the project's coefficient of variation. (Hint: Use the expected NPV.) Squared dev. Prob. NPV NPVI - E(NPV) Squared deviation times probability 0.24 $6,289.81 $5,829 S$ 0.24 -$2.390.74 -$2,852 S$ 0.32-$1,233.33 -S1,694 $S 0.20 -$ 400.00 -$861 $S 100 $ 461.1i Variance $. Standard deviation S 5.87 6.52 7.25 7.97 8.77Compute the expected return, variance, and standard deviation of the following assets. Show the solutions Probability Return of Assets Asset A Asset B Asset C 25% .030 .030 -.030 25% .050 .180 .280 25% .100 .080 -.180 25% .280 -.050 -0.180 Expected Return Variance Standard DeviationCalculate the project's coefficient of variation. (Hint: Use the expected NPV.) Squared dev. Prob. NPV NPVI - E{NPV) Squared deviation times probability 0.24 S6,289.81 $5,829 SS 0.24 -$2,390.74 -S2,852 SS 0.32 -S1,233.33 -S1,694 $$ 0.20 -$ 400.00 -$861 SS 1.00 $ 461.11 Variance S Standard deviation $ 5.87 6.52 7.25 7.97 8.77