Question
6) Over the past five years, your investment provided the following percentage returns: Year Annual Return 2016 6.785% 2017 3.485% 2018 2.380% 2019 -3.456% 2020
6) Over the past five years, your investment provided the following percentage returns:
Year | Annual Return |
2016 | 6.785% |
2017 | 3.485% |
2018 | 2.380% |
2019 | -3.456% |
2020 | 10.260% |
Calculate the sample variance: (1/1000 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):
7) You purchased shares of a TSX listed company at the cost of $53.40 per share at the beginning of 2017. Over the next four years, the stock had following stock prices and dividends:
Year | Year End Price | Dividends |
2017 | $55.70 | $1.50 |
2018 | $52.40 | $1.10 |
2019 | $50.80 | $1.00 |
2020 | $57.90 | $1.20 |
Calculate the following statistics: (1/1000 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):
1) 2017 percentage return:
2) 2018 percentage return:
3) 2019 percentage return:
4) 2020 percentage return:
5) Arithmetic mean:
6) Geometric mean:
7) Standard deviation (sample):
8) You purchased shares of a TSX listed company at the cost of $53.40 per share at the beginning of 2017. Over the next four years, the stock had following stock prices and dividends:
Year | Year End Price | Dividends |
2017 | $55.70 | $1.80 |
2018 | $52.40 | $1.90 |
2019 | $50.80 | $1.00 |
2020 | $57.90 | $1.30 |
Calculate the following statistics: (1/1000 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):
1) 2017 percentage return:
2) 2018 percentage return:
3) 2019 percentage return:
4) 2020 percentage return:
5) Arithmetic mean:
6) Geometric mean:
7) Standard deviation (sample):
9) Over the past five years, your investment provided the following percentage returns:
Year | Annual Return |
2016 | 4.589% |
2017 | 5.315% |
2018 | -5.140% |
2019 | -2.295% |
2020 | 14.590% |
Calculate the following statistics: (1/1000 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):
1) Arithmetic mean for annual returns
2) Standard deviation (sample):
Assume that the frequency distribution of annual returns followed a normal distribution.
What is the range that you would expect the annual returns to fall within 95% of the time?
3) Lower limit of annual return
4) Upper limit of annual return
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