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| Question 1123825:  Your baby is born, and you want to make monthly payments into a college fund over the next 18 years. Your goal is to have $100,000 in the fund in 18 years. Assuming an APR of 5%, calculate how much you should deposit monthly?
 
 
 Answer by ikleyn(52879)
      (Show Source): 
You can put this solution on YOUR website! . 
 
It is a classic Ordinary Annuity saving plan. The general formula is 
    FV =  ,    
where  FV is the future value of the account;  P is the 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).
From this formula, you get for for the monthly payment 
    P =  .     (1)
Under the given conditions, FV = $100,000;  r = 0.05/12;  n = 18*12.  So, according to the formula (1), you get for the monthly payment 
    P =  = $286.37.
Answer.  The necessary monthly deposit value is $286.37.
Note that of projected $100,000 the total of yours monthly payment deposits will be only  18*12 times $286.37, i.e. 18*12*286.37 = 61855.92 dollars.
The rest is what the account will earn/accumulate in 18 years.---------
 
 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.
 
 
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