Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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10.7 Calculating Returns and Variability Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y:
Returns
Year X Y
1 12% 14%
2 24 29
3 -27 -33
4 14 17
5 19 37
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- Problem 10-7 Calculating Returns and Variability Returns Year X Y 1 20 % 15 % 2 23 35 3 9 14 4 − 16 − 21 5 10 25 Using the returns shown above, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. X Y Average returns % % Variances Standard deviations % %arrow_forwardConsider the following five monthly returns: 0.04 −0.03 0.03 0.07 −0.02 a. Calculate the arithmetic average monthly return over this period. b. Calculate the geometric average monthly return over this period. c. Calculate the monthly variance over this period. d. Calculate the monthly standard deviation over this period.arrow_forwardReturns Year X Y 1 8% 12% 2 21 27 3 - 27 32 4 5 11 18 18 24 Using the returns shown above, calculate the average returns, variances, and standard deviations for X and Y: (Do not round intermediate calculations. Round the final percent answers to 2 decimal places. The variances to 5 decimal places.) Average returns Variances Standard deviations % %arrow_forward
- The variances of stocks A and B are 1 percentage square and 4 percentage square, respectively. If the covariance between the two stocks is 0.6 percentage square, what is the correlation? Dontarrow_forwardRead the t statistic from the table of t distributions and circle the correct answer. A two-tailed test, a sample of 40 at a .01 level of significance; t = choice a,b,c,d as followed 2.708 1.328 1.96 2.567arrow_forwardUse 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 %arrow_forward
- Find the sample variance and standard deviation. 22, 10, 4, 8, 11 Choose the correct answer below. Fill in the answer box to complete your choice. (Type an integer or a decimal. Round to one decimal place as needed.) OA. 2= B. s²= Choose the correct answer below. Fill in the answer box to complete your choice. (Round to one decimal place as needed.) OA. σ= B. s=arrow_forwardReturns Year X Y 12345 15% 20% 18 30 9 15 -9 5 10 -16 20 Using the returns shown above, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. (Do not round intermediate calculations. Enter your average return and standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16, and round the variance answers to 5 decimal places, e.g., .16161.) X Y Average returns 700 % Variances Standard deviations % 200 16 % % 700arrow_forwardYear INM +5 3 4 Returns 14% 28 9 10 Y 18% 29 10 -26 20 Using the returns shown above, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. (Do not round intermediate calculations. Enter your average return and standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16, and round the variance answers to 5 decimal places, e.g., 16161.) Average returns Variances Standard deviations X 8.00 % 17.90 % Y 10,20 % 21.34 %arrow_forward
- Question 8 X 35 36 37 38 39 Required Use the above data to find the variance and standard deviation Another Solution X 35 P(X) 0.1 0.2 0.3 0.3 0.1 36 37 38 39 P(X) 0.1 0.2 0.3 0.3 0.1 +arrow_forwardUse the following returns for X and Y. Year 1 2 3 4 5 Returns X 22.1% -17.1 10.1 20.2 5.1 Y 27.3% -4.1 29.3 -15.2 33.3 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. b. Calculate the variances for X and Y. Note: Do not round intermediate calculations and round your answers 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 Answer is complete but not entirely correct. X 8.06 a. Average return b. Variance c. Standard deviation 136.454400 % 11.67 X % Y 14.04 377.286400 x % 19.42%arrow_forwardReturns Year X Y 12345 11% 18% 25 26 11 10 -18 10 -23 17 Using the returns shown above, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. (Do not round intermediate calculations. Enter your average return and standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16, and round the variance answers to 5 decimal places, e.g., .16161.) X Y Average returns Variances 7.80 % 9.60% 0.01974 0.02947 Standard deviations 14.05 % 17.17%arrow_forward
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