You do not need a lot of money to invest in a mutual fund. However, if you decide to put some money into an investment, you are usually advised to leave it in for (at least) several years. Why? Because good years tend to cancel out bad years, giving you a better overall return with less risk. To see what we mean, let's use a 3-year moving average on the Calvert Social Balanced Fund (a socially responsible fund). X= S= Year % Return % S= 1 1.78 % 2 17.79 3 (a) Use a calculator with mean and standard deviation keys to find the mean and standard deviation of the annual return for all 11 years. (Round your answers to two decimal places.) 7.46 Year 3 3-year moving average 9.01 4 5 5.95 -4.74 6 7 8 9 25.85 9.03 18.92 17.49 10 6.80 (b) To compute a 3-year moving average for 1992, we take the data values for year 3 and the prior 2 years and average them. To compute a 3-year moving average for year 4 we take the data values for year 4 and the prior 2 years and average them. Verify that the following 3-year moving averages are correct. 11 -2.38 4 5 6 7 8 9 10 10.40 2.89 9.02 10.05 17.93 15.15 14.40 11 7.30 (c) Use a calculator with mean and standard deviation keys to find the mean and standard deviation of the 3-year moving average. (Round your answers to two decimal places % X= % (d) Compare the results of parts (a) and (c). Suppose we take the point of view that risk is measured by standard deviation. Is the risk (standard deviation) of the 3-year mov average considerably smaller? O The means are fairly similar, but the standard deviation of moving averages is much lower. This implies the risk of the 3-year moving average is considerably greater. O The means are fairly similar, but the standard deviation of moving averages is much higher. This implies the risk of the 3-year moving average is considerably greater. O The means are fairly similar, but the standard deviation of moving averages is much lower. This implies the risk of the 3-year moving average is considerably smaller. O The means are fairly similar, but the standard deviation of moving averages is much higher. This implies the risk of the 3-year moving average is considerably smaller.
You do not need a lot of money to invest in a mutual fund. However, if you decide to put some money into an investment, you are usually advised to leave it in for (at least) several years. Why? Because good years tend to cancel out bad years, giving you a better overall return with less risk. To see what we mean, let's use a 3-year moving average on the Calvert Social Balanced Fund (a socially responsible fund). X= S= Year % Return % S= 1 1.78 % 2 17.79 3 (a) Use a calculator with mean and standard deviation keys to find the mean and standard deviation of the annual return for all 11 years. (Round your answers to two decimal places.) 7.46 Year 3 3-year moving average 9.01 4 5 5.95 -4.74 6 7 8 9 25.85 9.03 18.92 17.49 10 6.80 (b) To compute a 3-year moving average for 1992, we take the data values for year 3 and the prior 2 years and average them. To compute a 3-year moving average for year 4 we take the data values for year 4 and the prior 2 years and average them. Verify that the following 3-year moving averages are correct. 11 -2.38 4 5 6 7 8 9 10 10.40 2.89 9.02 10.05 17.93 15.15 14.40 11 7.30 (c) Use a calculator with mean and standard deviation keys to find the mean and standard deviation of the 3-year moving average. (Round your answers to two decimal places % X= % (d) Compare the results of parts (a) and (c). Suppose we take the point of view that risk is measured by standard deviation. Is the risk (standard deviation) of the 3-year mov average considerably smaller? O The means are fairly similar, but the standard deviation of moving averages is much lower. This implies the risk of the 3-year moving average is considerably greater. O The means are fairly similar, but the standard deviation of moving averages is much higher. This implies the risk of the 3-year moving average is considerably greater. O The means are fairly similar, but the standard deviation of moving averages is much lower. This implies the risk of the 3-year moving average is considerably smaller. O The means are fairly similar, but the standard deviation of moving averages is much higher. This implies the risk of the 3-year moving average is considerably smaller.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A time-series data take different values across several intervals of time periods. It represents a variable in which mean and standard deviation are measures of central tendency and dispersion respectively.
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