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Exhibit 1 - Monthly Values for the Market Index and the Three Traded Shares. Determine the standard deviation of a three asset portfolio comprised of

Exhibit 1 - Monthly Values for the Market Index and the Three Traded Shares.

Determine the standard deviation of a three asset portfolio comprised of all three shares (Gem, Silver & Gold); and the standard deviation of 2-asset portfolios consisting of both Gem and Silver; Gem and Gold; and Silver and Gold. Assume equal weightings (50%) of each share within the portfolio. Interpret your results and comment and illustrate the impact on risk when combining shares into a portfolio. Use the correlation of variation to determine which portfolio is the most efficient when it comes to risk and return? What has caused this risk reduction in the portfolio and what specific risk has been eliminated in each case?

Month

Market Index

Gem Ltd Silver Ltd Gold Ltd

1

4788

4.47

5.91 7.89

2

4833

4.72

6.26

8.31

3

4867

5.08

6.59

8.52

4

4926

5.38

6.68

8.66

5

4967

5.54

6.79

8.79

6

5027

5.83

7.31

9.28

7

5063

6.22

7.62

9.49

8

5102

6.46

7.88

9.83

9

5055

6.73

8.31

9.38

10

5109

7.11

8.54

9.56

11

5249

7.51

8.75

9.72

12

5132

7.33

8.39

9.33

13

5201

7.54

8.71

9.66

14

5309

7.86

9.04

9.22

15

5364

7.52

9.27

9.35

16

5393

7.78

9.51

9.54

17

5442

7.01

9.29

9.27

18

5475

7.76

10.09

9.02

19

5499

7.93

10.78

9.31

20

5545

8.21

10.47

9.55

21

5500

8.13

11.01

9.96

22

5435

8.48

10.63

10.45

23

5509

8.75

11.11

10.79

24

5578

8.33

11.64

10.90

25

5539

8.17

11.37

11.45

26

5599

8.34

12.01

11.71

27

5666

8.49

12.29

11.97

28

5733

8.66

12.71

11.73

29

5672

9.07

13.06

11.99

30

5601

9.76

13.25

12.39

31

5627

9.23

13.39

12.56

32

5699

9.56

13.56

12.83

33

5757

9.89

14.02

12.97

34

5819

10.28

14.39

13.49

35

5763

10.61

14.58

13.27

36

5845

10.29

14.34

13.49

37

5879

10.76

14.61

13.66

38

5897

11.07

14.42

13.34

39

5857

10.85

14.23

13.00

40

5870

10.99

14.56

13.38

41

5785

11.20

14.77

13.56

42

5744

11.01

14.86

13.83

43

5803

11.36

15.09

13.67

44

5758

11.28

15.44

13.99

45

5825

11.65

15.78

13.72

46

5804

11.51

15.45

13.89

47

5855

11.78

15.93

14.05

48

5915

11.95

15.69

14.19

49

6007

11.55

15.43

14.02

50

6095

11.28

15.85

14.33

51

6177

11.50

15.99

14.47

52

6099

11.27

15.59

14.62

53

6164

11.49

15.32

14.78

54

6299

11.63

15.48

15.09

55

6256

11.41

15.65

14.77

56

6177

11.62

15.54

15.13

57

6112

11.79

16.03

15.59

58

6193

12.09

16.39

15.74

59

6288

12.27

16.28

15.51

60

6354

12.48

15.64

15.36

61

6403

12.66

15.98

15.66

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