.
It is a classic Ordinary Annuity saving plan. The general formula is
FV =
, (1)
where FV is the future value of the account; P is your monthly payment (deposit); r is the monthly percentage yield presented as a decimal;
n is the number of deposits (= the number of years multiplied by 12, in this case).
Under the given conditions, P = 200; r = 0.14/12; n = 12*14 = 168. So, according to the formula (1), you get at the end of the 14-th year
FV =
=
= $103187.
Note that you deposit only 12*14*$200 = $33600. The rest is what the account earns/accumulates in 14 years.
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On Ordinary Annuity saving plans, see the lessons
- Ordinary Annuity saving plans and geometric progressions
- Solved problems on Ordinary Annuity saving plans
in this site.