Since your first birthday, your grandparents have been depositing $1000 into a savings account on every one of your birthdays. The account pays 4% interest annually. Immediately after your grandparents make the deposit on your 18th birthday, the amount of money in your savings account will be closest to: a. $36,465. b. $18,000. c. $12,659. d. $25,645. e. None of them.
Question
Since your first birthday, your grandparents have been depositing $1000 into a savings account on every one of your birthdays. The account pays 4% interest annually. Immediately after your grandparents make the deposit on your 18th birthday, the amount of money in your savings account will be closest to:
a. $36,465.
b. $18,000.
c. $12,659.
d. $25,645.
e. None of them.
Solution
The correct answer is a. $36,465.
Here's the step-by-step calculation:
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This is a problem of future value of an ordinary annuity, where a series of equal payments are made at the end of each period. The formula for the future value of an ordinary annuity is FV = P * [(1 + r)^n - 1] / r, where P is the payment per period, r is the interest rate per period, and n is the number of periods.
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In this case, P = $1000, r = 4% = 0.04, and n = 18.
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Plugging these
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