ABC Co. has the following dividend payment history for the last five years, with the most recent dividend being $1.10: $0.50, $0.60, $0.80, $1.00, $1.10. Historical growth rate estimation Compound growth rate of dividends based on the last five years of dividends data: Compounded Growth Rate=(Dividend in Year 5/Dividend in Year 1)(1/N)− Compounded Growth Rate=(1.1/0.5)(1/5)−1 Compounded Growth Rate=2.2(1/5)−1 Compounded Growth Rate = 1.1708 – 1 Compounded Growth Rate = 17.08%   Year-to-year growth rates in dividends:   Year (n) Dividends (D) *Growth rate (G) *Workings (Dn/Dn-1) - 1  1 0.50                -     2 0.60 20.00% 0.60 / 0.50 -1 * 100 3 0.80 33.33% 0.80 / 0.60 - 1 * 100 4 1.00 25.00% 1.00 / 0.80 - 1 * 100 5 1.10 10% 1.10 / 1.00 - 1 * 100   Average 22.08%                                                                                                                        The average year-to-year dividend growth rate:   Year Dividend 1 $1.10 2 $0.50 3 $0.60 4 $0.80 5 $1.00 6 $1.10   ABC has a retention ratio of 0.9 and a historical return on equity (ROE) of 0.25. An alternative estimate of dividend growth rate, g: Growth rate = Retention ratio x ROE  ROE=0.25 Retention ratio =0.9 Growth rate =0.9 × 0.25=0.225 Growth rate =0.225 Alternative Growth rate =0.225    e. What is the expected growth rate of dividends by averaging the growth rates from the above data?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Apologies, hopefully this is sufficient: 

ABC Co. has the following dividend payment history for the last five years, with the most recent dividend being $1.10: $0.50, $0.60, $0.80, $1.00, $1.10.

Historical growth rate estimation

Compound growth rate of dividends based on the last five years of dividends data:

Compounded Growth Rate=(Dividend in Year 5/Dividend in Year 1)(1/N)−

Compounded Growth Rate=(1.1/0.5)(1/5)−1

Compounded Growth Rate=2.2(1/5)−1

Compounded Growth Rate = 1.1708 – 1

Compounded Growth Rate = 17.08%

 

Year-to-year growth rates in dividends:

 

Year (n)

Dividends (D)

*Growth rate (G)

*Workings (Dn/Dn-1) - 1

 1

0.50

               -

   

2

0.60

20.00%

0.60 / 0.50 -1 * 100

3

0.80

33.33%

0.80 / 0.60 - 1 * 100

4

1.00

25.00%

1.00 / 0.80 - 1 * 100

5

1.10

10%

1.10 / 1.00 - 1 * 100

 

Average

22.08%

 

 

                                                                                                                  

The average year-to-year dividend growth rate:

 

Year

Dividend

1

$1.10

2

$0.50

3

$0.60

4

$0.80

5

$1.00

6

$1.10

 

ABC has a retention ratio of 0.9 and a historical return on equity (ROE) of 0.25. An alternative estimate of dividend growth rate, g:

Growth rate = Retention ratio x ROE 

ROE=0.25

Retention ratio =0.9

Growth rate =0.9 × 0.25=0.225

Growth rate =0.225

Alternative Growth rate =0.225 

 

e. What is the expected growth rate of dividends by averaging the growth rates from the above data?

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