SOLUTION: Calculate the future value of the increasing annuity At the end of each quarter year for 6 years 1200 is deposited into an investment paying 3.4% interest compounded quarterly

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Question 1139850: Calculate the future value of the increasing annuity
At the end of each quarter year for 6 years 1200 is deposited into an investment paying 3.4% interest compounded quarterly
Answer by ikleyn(52776) About Me  (Show Source):
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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 quarterly payment (deposit); r is the quarterly percentage yield presented as a decimal; 
n is the number of deposits (= the number of years multiplied by 4, in this case).


Under the given conditions, P = 1200;  r = 0.034/4;  n = 4*6 = 24.  So, according to the formula (1), you get at the end of the 6-th year


    FV = 1200%2A%28%28%281%2B0.034%2F4%29%5E%284%2A6%29-1%29%2F%28%280.034%2F4%29%29%29 = = $31798.79.

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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.

The lessons contain  EVERYTHING  you need to know about this subject,  in clear and compact form.

When you learn from these lessons,  you will be able to do similar calculations in semi-automatic mode.