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At your child's birth, you begin contributing monthly to a college fund. The fund pays an...

At your child's birth, you begin contributing monthly to a college fund. The fund pays an APR of 4.5% compounded monthly. You figure your child will need $30,000 at age 18 to begin college. What monthly deposit is required? (Round your answer to the nearest cent.)

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Answer #1

Monthly rate = 4.5% / 12 = 0.375%

Number of periods = 18 * 12 = 216

Future value = Annuity * [(1 + r)n - 1] / r

30,000 = Annuity * [(1 + 0.00375)216 - 1] / 0.00375

30,000 = Annuity * [2.244505 - 1] / 0.00375

30,000 = Annuity * 331.868018

Annuity = $90.40

Monthly deposit will be $90.40

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