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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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