Assume Rachel plans to invest an amount today in an account with an interest rate of $7\mathrm{.}2\%($compounded annually$)$ and wait $5$ years before withdrawing $$4,000$ at the start of each of the next $120$ months $(10$ years$),$ at which the account will have a zero balance.

What is the initial amount that Rachel should invest today to make that happen?

$($Round your answer to the nearest dollar. Use the same compounding pattern for the deferred years as for the years payments were made.$)$

A$)$ $$239,920$

B$)$ $$442,175$

C$)$ $$704,212$

D$)$ $$491,841$

E$)$ $$238,489$

F$)$ Present value is not shown.