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I see that given an initial investment of $100 on 1/1/2015 with a 
CAGR of 9.5% or a CMGR of 0.7591534291% results in a 1/1/2016 balance
of $109.50 in both cases:

However, if we introduce additional $100 contributions at the first 
of every month, then the 1/1/2016 results change. The 9.5% CAGR gives 
a 1/1/2016 balance of $1,314.00 and the 0.7591534291% CMGR gives a 
1/1/2016 balance of $1,260.89. Why are these values different, and 
which is correct?

Date        Contribution     Using 9.5% CAGR    Using 0.759... CMGR
1/1/2015            $100                  $0                  $0.76
2/1/2015            $100                  $0                  $1.52
3/1/2015            $100                  $0                  $2.29
4/1/2015            $100                  $0                  $3.07
5/1/2015            $100                  $0                  $3.85           
6/1/2015            $100                  $0                  $4.64
7/1/2015            $100                  $0                  $5.44
8/1/2015            $100                  $0                  $6.24
9/1/2015            $100                  $0                  $7.04
10/1/2015           $100                  $0                  $7.86
11/1/2015           $100                  $0                  $8.67
12/1/2015           $100                $114                  $9.50
1/1/2016 Balance:                     $1,314              $1,260.89
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