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- Possible returns and their probabilities for an asset is given in the table below. The expected return is 30.25%. Calculate the standard deviation of the asset's return. Probability 0.40 0.45 0.15 13.92% O 17.84 % 18.55% O 19.09% 16.59% Return 0.52 0.17 0.12Suppose 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…The 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.
- The data presented below represents the expected returns on a financial asset in different seasons of the year. Season of year Probability Returns Spring 40% 2% Summer 35% 6% Winter 25% 10% What is the expected return on the asset? ii) What is the standard deviation on the asset? What is the covariance of the asset?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 variationAssume 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.
- Which asset in the following table has the most market risk (also known as systematic or non- diversifiable risk)? Asset Return Beta Standard Deviation Asset A 11% 0.95 35% Asset B 13% 1.00 35% Asset C 9% 1.20 30% 1.) Asset C 2.) All three Assets 3.) Asset B 4.) Asset A and Asset B 5.) Asset ATwo investments generated the following annual returns (refer to image): a. What is the average annual return on each investment?b. What is the standard deviation of the return on investments X and Y?c. Based on the standard deviation, which investment was riskier?An asset has an average return of 10.79 percent and a standard deviation of 22.71 percent. What is the most you should expect to earn in any given year with a probability of 16 percent? Multiple Choice O 57.34% 33.50% 23.28% 34.63% 11.92%
- Two investments generated the following annual returns: % -Select- a. What is the average annual return on each investment? Round your answers to one decimal place. The average annual rate of return on X: The average annual rate of return on Y: b. What is the standard deviation of the return on investments X and Y? Round your answers to two decimal places. Standard deviation of X: % Standard deviation of Y: c. Based on the standard deviation, which investment was riskier? was riskier. 20X0 20X1 20X2 20X3 20X4 Investment X 11% 22 30 16 9 Investment Y 22% 24 10 13 12The following investments and probabilities are presented: INVESTMENT 1 Years yield probability 1 11 0.25 2 13 0.25 3 19 0.10 4 16 0.20 5 15 0.20 INVESTMENT 2 Years yield PROBABILITY 1 18 0.15 2 16 0.15 3 11 0.40 4 10 0.15 5 11 0.15 1 Calculate the expected return on each investment 2 Calculate the standard deviation of both investments and indicate which investment is riskier and why? 3 Calculate the coefficient of variation of both investments and indicate which investment is riskier and why? In this case it is…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%.