Given the following historical returns, what is the variance? Year 1 = 9%; year 2 = -11%; year 3 = 8%; year 4 = -12%; and year 5 = -9%. the correct answer is .0112. How was that found?
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- Use the following returns for X and Y. Year 12345 Returns X 21.6% -16.6 9.6 19.2 4.6 Y 25.8% -3.6 27.8 -14.2 31.8 a. Calculate the average returns for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Average return b. Variance c. Standard deviation b. Calculate the variances for X and Y. Note: Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616. c. Calculate the standard deviations for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. X % % % %Given the following historical returns, what is the standard deviation? Year 1 = 9%; year 2 = -11%; year 3 = 8%; year 4 = -12%; and year 5 = -9%. The correct answer is 10.56%. How was that foundConsider the following time series: a. Construct a time series plot. What type of pattern exists in the data? Is there an indication of a seasonal pattern? b. Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data: Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. c. Compute the quarterly forecasts for next year.
- Assume the mean and standard deviation of sample returns are 8% and 10% respectively. Assuming that the returns are normally distributed, what is the probability of an actual return below 8%?7. Calculating Returns and Variability. Using the following returns, calculate the average returns, the variances, and the standard deviations for X and Y. LO 1 Returns Year Y. 16% 36% -17 - 8 13 21 15 -15 24 39 12345Use 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.)
- Consider the following POPULATION of returns: 5%, -4%, -3%, and 12%. What is the standard deviation of this population of returns? O A. 0.42% O B. 0.56% OC. 6.50% O D. 7.51%Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. Year X Y 1 15% 21% 2 26 36 3 7 13 4 -13 -26 5 11 15Which 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
- Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. Year Returns X Y 1 9% 23% 2 27 44 3 16 -6 4 -17 -20 5 18 52 Calculate the arithmetic average return for X. Calculate the arithmetic average return for Y.1. Over the past 3 years an investment returned 0.18, -0.11, and 0.08. What is the variance of returns?4. Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. Year 1 2 3 4 5 X 12% 28% 9% -7% 10% Return Y 25% 34% 13% -27% 14%