After having a baby, you start college planning and want to send the baby to SMU in $18$ years. The cost at SMU is $$12,500$ per year today, which will continue to increase an average of $4\%$ per year. You will invest all the college savings in an account with a $7\%$ EAR. How much do you need today to pay for all four years of the baby$$s undergraduate education at SMU?

$*$NO Excel please!