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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```