In: Finance
In one year, you will make an initial deposit in the amount of $5,000 in a new savings account. You plan to make additional deposits in the same amount of $5,000 for 11 years after the initial deposit. There will only be these 12 deposits and no withdrawals made to your account. Assume the interest rate you will earn is 4% per year. How much will your account be worth in 12 years?
The amount is computed as follows:
Future value = Annual deposits x [ [ (1 + r)n – 1 ] / r ]
= $ 5,000 x [ [ (1 + 0.04)12 - 1 ] / 0.04 ]
= $ 5,000 x 15.02580546
= $ 75,129.03 Approximately