7. Calculating returns and Variability (LO1) Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y Returns Year 1 2 3 4 5 X 15% 26 7 -13 11 Y 21% 36 13 -26 15
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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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 37Using 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 15Year Returns X Y 1 11% 18% 2 25 26 3 11 10 4 −18 −23 5 10 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 Standard deviations % %
- 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.Returns Year X y 1 17 % 20 % 2 20 32 3 11 15 4 – 7 – 18 5 10 22 Using the returns shown above, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y.If correlation coefficient between an individual security and market is 0.64, the total risk of the security that is standard deviation is 30 %, unsystematic risk of the security in variance term is a. 531.36 b. 900 c. 640 d. 360
- EXAMPLE• Consider the following information:State Probability ABC, Inc. ReturnBoom .25 0.15Normal .50 0.08Slowdown .15 0.04Recession .10 -0.03• What is the expected return?• What is the variance?• What is the standard deviation?q12- In the distribution of a variable, if the mean is much smaller than the median, the data distribution is: a. Uniform b. Right-skewed c. Left-skewed d. NormalUse the following returns for X and Y. Returns Year x y 1 21.8% 26.4% 2 -16.8 -3.8 3 9.8 28.4 4 19.6 -14.6 5 4.8 32.4 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.)
- 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%?Please include excel formula Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. Input area: Year X Y 1 13% 27% 2 26% 36% 3 7% 11% 4 -5% -29% 5 11% 16% (Use cells A6 to C11 from the given information to complete this question. You must use the built-in Excel function to answers this question. Make sure to use the “sample” Excel formulas.) Output area: Asset X: Average return Variance Standard deviation Asset Y: Average return Variance Standard deviationCalculate the range, the expected rate of return, the variance, and the standard deviation for the problem below: Economic Condition Probability Expected Return Better than expected 0.15 0.65 Good 0.25 0.3 Average 0.45 0.15 Poor 0.1 -0.15 Terrible 0.05 -0.35