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Question two [ 40 marks ] Consider the following Price and Dividend data relatin

ID: 2774574 • Letter: Q

Question

Question two [ 40 marks ] Consider the following Price and Dividend data relating to two stocks that are held in a portfolio. Below are the stock prices and the dividends of Berger during 2009 to 2014: Date Price ($) Dividend ($) respectively - December 31, 2009 $71.56 December 31, 2010 $89.44 $0.10 December 31, 2011 $87.75 $0.10 December 31, 2012 $69.00 $0.10 December 31, 2013 $69.06 $0.10 December 31, 2014 $72.69 Consider the following Price and Dividend data for Seprod Company Limited during 2009 to 2014: Date Price ($) Dividend ($) December 31, 2009 $24.89 December 31, 2010 $26.46 $0.25 December 31, 2011 $20.19 $0.25 December 31, 2012 $6.40 $0.25 December 31, 2013 $10.40 $0.25 December 31, 2014 $12.20 $0.25 Required: a. Calculate Seprod Company Limited's annual returns during 2009 to 2014 for Berger Paints Limited [10 marks] b. Calculate Seprod Company Limited's annual returns during 2009 to 2014 for Seprod Limited[ 6 marks] c. Calculate the standard deviation of the returns for each company during the period 2009 to 2014 respectively [

Explanation / Answer

SOLUTION :

Berger Paints Limited

Year

Price

Dividend

ANNUAL RETURN

(annual return - average)^2

a

b

C

d=(ending price-beg price+div)/beg Price

e

2009

71.56

0

2010

89.44

0

                        24.99

                                            552.13

2011

87.75

0.1

-                         1.78

                                              10.67

2012

69

0.1

-                      21.25

                                            517.21

2013

69.06

0.1

                          0.23

                                                1.58

2014

72.69

0

                          5.26

                                              14.20

Total

                          7.44

                                        1,095.78

Average

                          1.49

standard deviation= square root of (sum of column e/n-1)

                        16.55

Seprod Company Limited

Year

Price

Dividend

ANNUAL RETURN

(annual return - average)^2

a

b

C

d=(ending price-beg price+div)/beg Price

E

2009

24.89

2010

26.46

0.25

                          7.31

                                              46.74

2011

20.19

0.25

-                      22.75

                                            539.49

2012

6.4

0

-                      68.30

                                        4,730.23

2013

10.4

0.25

                        66.41

                                        4,346.86

2014

12.2

0.25

                        19.71

                                            370.03

Total

                          2.38

                                      10,033.34

Average

                          0.48

standard deviation= square root of (sum of column e/n-1)

                        50.08

Berger Paints Limited

Year

Price

Dividend

ANNUAL RETURN

(annual return - average)^2

a

b

C

d=(ending price-beg price+div)/beg Price

e

2009

71.56

0

2010

89.44

0

                        24.99

                                            552.13

2011

87.75

0.1

-                         1.78

                                              10.67

2012

69

0.1

-                      21.25

                                            517.21

2013

69.06

0.1

                          0.23

                                                1.58

2014

72.69

0

                          5.26

                                              14.20

Total

                          7.44

                                        1,095.78

Average

                          1.49

standard deviation= square root of (sum of column e/n-1)

                        16.55

Seprod Company Limited

Year

Price

Dividend

ANNUAL RETURN

(annual return - average)^2

a

b

C

d=(ending price-beg price+div)/beg Price

E

2009

24.89

2010

26.46

0.25

                          7.31

                                              46.74

2011

20.19

0.25

-                      22.75

                                            539.49

2012

6.4

0

-                      68.30

                                        4,730.23

2013

10.4

0.25

                        66.41

                                        4,346.86

2014

12.2

0.25

                        19.71

                                            370.03

Total

                          2.38

                                      10,033.34

Average

                          0.48

standard deviation= square root of (sum of column e/n-1)

                        50.08

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