Find both the arithmetic growth rate and the geometric growth rate of the dividends for Brantley's Service Centers. (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Dividend $1.47 $2.19 $3.49 $4.45 $5.67 $6.71 $7.05 $8.15 $7.52 $6.66 What is the arithmetic growth rate of the dividends for Brantley's Service Centers?

The arithmetic growth rate of the dividends for Brantley's Service Centers is 18.31%.

Explanation:

Arithmetic mean is the average of all the values under consideration. Arithmetic growth is the average of average of each year's growth rate.

Year       Dividend                                Growth rate

2001         $1.47                 0

2002        $2.19              ( ( $2.19 / $1.47 ) - 1 ) x 100 = 48.98%

2003        $3.49             ( ( $3.49 / $2.19 ) - 1 ) x 100 = 59.36%

2004        $4.45             ( ( $4.45 / $3.49 ) - 1 ) x 100 = 27.51%

2005        $5.67             ( ( $5.67 / $4.45 ) - 1 ) x 100 = 27.42%

2006        $6.71              ( ( $6.71 / $5.67 ) - 1 ) x 100 = 18.34%

2007        $7.05             ( ( $7.05 / $6.71 ) - 1 ) x 100 = 5.07%

2008        $8.15              ( ( $8.15 / $7.05 ) - 1 ) x 100 = 15.60%

2009        $7.52             ( ( $7.52 / $8.15 ) - 1 ) x 100 = -7.73%

2010         $6.66             ( ( $6.66 / $7.52 ) - 1 ) x 100 = -11.44%

Arithmetic growth rate = ( 48.98% + 59.36% + 27.51% + 27.42% + 18.34% + 5.07% + 15.60% - 7.73% - 11.44% ) / 10

Arithmetic growth rate = 18.311%

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