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Must be done in Excel We have monthly price data for twelve months on two shares

ID: 2797010 • Letter: M

Question

Must be done in Excel

We have monthly price data for twelve months on two shares: one of Stock A and one of Stock B. The data look as follows:

Month

Stock A Price

Stock A Price

0

25

45

1

24.125

44.875

2

23.375

46.875

3

24.75

45.25

4

26.625

50.875

5

26.5

58.5

6

28

57.25

7

28.875

62.75

8

29.75

65.5

9

31.375

74.375

10

36.25

78.5

11

37.125

78

12

36.875

78.125

These data give the closing price at the end of each month for each stock. The month-0 price is the initial price of the stock. We wish to calculate the relevant return statistics for each stock.

Calculate the monthly return for each stock

Calculate the variance for Stock A and Stock B

Calculate the covariance of the returns

Calculate the correlation coefficient

Now form a portfolio composed of half of Stock A and half of Stock B.

Calculate the monthly expected return of your portfolio

Calculate the mean portfolio return and portfolio variance

Now construct a table varying the proportions of Stock A and Stock B from 0 to 100% in increments of 5%. For each proportion find the expected return and standard deviation. Graph your table.

MUST BE DONE IN EXCEL

Month

Stock A Price

Stock A Price

0

25

45

1

24.125

44.875

2

23.375

46.875

3

24.75

45.25

4

26.625

50.875

5

26.5

58.5

6

28

57.25

7

28.875

62.75

8

29.75

65.5

9

31.375

74.375

10

36.25

78.5

11

37.125

78

12

36.875

78.125

Explanation / Answer

Excel formula for Variance = =VAR.P(H6:H18) where H6 to H18 are the stock prices for A and B respectively
Correlation =  =CORREL(H6:H18,I6:I18) where  H6 to H18 and I6 to I18 are the stock prices for A and B
Covariance=  =COVARIANCE.P(K7:K18,L7:L18) where k7 to k18 and l7 to l18 are the returns calculated

Month Stock A Price Stock B Price Return A Return B 0 25 45 1 24.125 44.875 -3.50% -0.28% 2 23.375 46.875 -3.11% 4.46% 3 24.75 45.25 5.88% -3.47% 4 26.625 50.875 7.58% 12.43% 5 26.5 58.5 -0.47% 14.99% 6 28 57.25 5.66% -2.14% 7 28.875 62.75 3.13% 9.61% 8 29.75 65.5 3.03% 4.38% 9 31.375 74.375 5.46% 13.55% 10 36.25 78.5 15.54% 5.55% 11 37.125 78 2.41% -0.64% 12 36.875 78.125 -0.67% 0.16% Variance 22.22836538 167.1719675 Covariance 0.0364% Correlation 0.957418851