4. The Sales manager of a company projected the following sales for the next year with the following probabilities: Sales ( $ Millions) $ 20 Scenario Probability 1 0.10 0.30 18 3 0.30 15 4 0.30 14 Required: a) Find the Variance; b) Find the standard deviation.
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- Expected Return, Variance, Std. Deviation and Cofficient of Variation:Magee Inc.'s manager believes that economic conditions during the next year will be strong, normal, or weak, and she thinks that the firm's returns will have the probability distribution shown below. What's the standard deviation of the estimated returns?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. State of the Economy Probability of State Occurring Stock's Expected Return Boom 20% 24.15% Normal 50% 13.50% Recession 30% –13.30% Group of answer choices 15.68% 16.39% 14.26% 13.54% 10.69%Expected Return, Variance, Std. Deviation and Cofficient of Variation:Magee Inc.'s manager believes that economic conditions during the next year will be strong, normal, or weak, and she thinks that the firm's returns will have the probability distribution shown below. What's the standard deviation of the estimated returns?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. State of the Economy Probability of State Occurring Stock's Expected Return Boom 30% 22.95% Normal 50% 12.90% Recession 20% –8.60%Expected Return, Variance, Std. Deviation and Cofficient of Variation:Magee Inc.'s manager believes that economic conditions during the next year will be strong, normal, or weak, and she thinks that the firm's returns will have the probability distribution shown below. What's the standard deviation of the estimated returns?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. State of the Economy Probability of State Occurring Stock's Expected Return Boom 30% 21.60% Normal 55% 13.50% Recession 15% –11.35% A. 11.04% B. 12.10% C. 9.47% D. 10.52% E. 9.99%
- 1. Over the past 3 years an investment returned 0.18, -0.11, and 0.08. What is the variance of returns?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% .280Which one of the following is defined as the average compound return earned per year over a multiyear period? Multiple Choice A Geometric average return B Variance of returns C Standard deviation of returns D Arithmetic average return E. Normal distribution of returns
- Use the following returns for X and Y. Returns Year X Y 1 22.7 % 29.1 % 2 – 17.7 – 4.7 3 10.7 31.1 4 21.4 – 16.4 5 5.7 35.1 a. Calculate the average returns for X and Y. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the variances for X and Y. (Do not round intermediate calculations and round your answers to 6 decimal places, e.g., 32.161616.) c. Calculate the standard deviations for X and Y. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)Carson Inc.'s manager believes that economic conditions during the next year will be strong, normal, or weak, and she thinks that the firm's returns will have the probability distribution shown below. What's the standard deviation of the estimated returns? (Hint: Use the formula for the standard deviation of a population, not a sample.) Do not round your intermediate calculations. Economic Conditions Strong Normal Weak O a. 17.49% O b. 12.36% O c. 22.49% O d. 10.10% O e. 18.36% Prob. 30% 40% 30% Return 27.0% 13.0% -17.0%According to Megaworld Corporation, their returns over the last three years have been 7 percent, 13 percent, and 10 percent, respectively. Calculate the variance and standard deviation of the returns using the following formulas: Variance (m) = expected value of (m-rm)² Standard deviation of m =√√variance(rm). 124.00 and 11.10 percent 30.00 and 10.00 percent O 6.00 and 2.45 percent 64.00 and 8.00 percent
- Use the following returns for X and Y. Returns Year 1 22.8% 29.4% - 17.8 10.8 4.8 31.4 4 21.6 - 16.6 5.8 35.4 a. Calculate the average returns for X and Y. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the variances for X and Y. (Do not round intermediate calculations and round your answers to 6 decimal places, e.g., 32.161616.) c. Calculate the standard deviations for X and Y. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Y a. Average return % % b. Variance с. Standard deviation %4 t of An investment earned the following returns for the years 2013 through 2016:20 %, -5%, 30%, and 10%. What is the variance of returns for this investment? Select one: Oa. 0.2987 uestion O b. 0.0892 c. 0.0723 d. 0.1292 e. 0.0292Use 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%