SOLUTION: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.) $200/month for 14 yr at 14%/year compounded monthly

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Question 1126409: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$200/month for 14 yr at 14%/year compounded monthly

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is a classic Ordinary Annuity saving plan. The general formula is 


    FV = P%2A%28%28%281%2Br%29%5En-1%29%2Fr%29,    (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 = 200%2A%28%28%281%2B0.14%2F12%29%5E%2812%2A14%29-1%29%2F%28%280.14%2F12%29%29%29 = 200%2A%28%28%281%2B0.14%2F12%29%5E168-1%29%2F%28%280.14%2F12%29%29%29 = $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
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    - Solved problems on Ordinary Annuity saving plans
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