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You have data on the following assets:
asset Expected return Standard Deviation
A 15.0% 21.0%
B 15.5% 20.2%
C 18.0% 25.0%
Calculate the coefficient of variation for each of the assets. Which one is the best investment option?
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- Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.Assuming the following returns and corresponding probabilities for Asset D: Rate of Return Probability 10% 30% 15% 40% 20% 30% Compute for: a. Expected rate of return b. The standard deviation c. The coefficient of variationExpected return and standard deviation. Use the following information to answer the questions. State of Economy Probability of State Return on Asset D in State Return on Asset E in State Return on Asset F in State Boom 0.34 0.08 0.29 0.19 Normal 0.55 0.08 0.17 0.11 Recession 0.11 0.08 −0.24 −0.09 a. What is the expected return of each asset? b. What is the variance of each asset? c. What is the standard deviation of each asset? Hint: Make sure to round all intermediate calculations to at least seven (7) decimal places. The input instructions, phrases in parenthesis after each answer box, only apply for the answers you will type. a. What is the expected return of asset D? (Round to four decimal places.) What is the expected return of asset E? (Round to four decimal places.) What is the expected return of asset F?…
- 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…Four assets have the following distribution of returns. Probability Rate of return (%)Occurrence A B C D0.1 10.0 6.0 14.0 2.00.2 10.0 8.0 12.0 6.00.4 10.0 10.0 10.0 9.00.2 10.0 12.0 8.0 15.00.1 10.0 14.0 6.0 20.0 In each asset alculate The expected rate of return, standard deviation, variance coefficient of variationThe expected value, standard deviation of returns, and coefficient of variation for asset A are 9.33%, 8% and 2.15 respectively 9.35%, 2.76% and 0.295 respectively 9.35%, 4.68% and 2 respectively 10%, 8% and 1.25 respectively
- 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…Asset M Asset N j P?? Return, ?? P?? Return, ?? 1 0.25 10% 0.15 10% 2 0.25 -6% 0.30 8% 3 0.15 2% 0.20 15% 4 0.20 5% 0.05 0% 5 0.15 20% 0.30 -2% Calculate the expected value of return, ?̅, for each of the two assets. Which provides the largest expected return? Calculate the standard deviation, ?? , for each of the two assets’ returns. Which appears to have the greatest risk? Calculate the portfolio expected return if you invest 27% of your wealth in M and 73% inN, of your total wealth of $40,000.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.
- Expected return and standard deviation. Use the following information to answer the questions. State of Economy Probability of State Return on Asset R in State Return on Asset S in State Return on Asset T in State Boom 0.25 0.020 0.270 0.490 Growth 0.35 0.020 0.110 0.280 Stagnant 0.22 0.020 0.140 0.020 Recession 0.18 0.020 −0.030 −0.150 a. What is the expected return of each asset? b. What are the variance and the standard deviation of each asset? c. What is the expected return of a portfolio with equal investment in all three assets? d. What is the portfolio's variance and standard deviation using the same asset weights in part (c)? Hint: Make sure to round all intermediate calculations to at least seven (7) decimal places. a. What is the expected return of asset R? (Round to four decimal…Consider the information below, compute the expected return, variance, and standard deviation. Show the solution. Probability Return of Assets 25% .30 25% .050 25% .100 25% .280asset 1 has an expected return of 10% and a standard deviation of 20%. Asset 2 has an expected return of 15% and a standard deviation of 30%. the correlation between the two assets is -1.0. portfolios of these two assets will have a standard deviation of what?
