Question

Since your first birthday, your grandparents have been depositing $1,000 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:

Answer 1

$25,650

Step-by-step explanation:

The formula for calculating the future value of an annuity is:

F = P x ([1 + I]^N - 1 ) / I

where:

• P = payment amount = $1,000
• I = interest rate = 4%
• N = number of payments = 18

F = $1,000 x ([1 + 4%]^18 - 1 ) / 4% = $1,000 x (1.04^18 - 1 ) / 4% = $1,000 x (2.026 - 1 ) / 4% = $1,000 x 1.026 / 4% = $25,650