Assume that you will require $$2,000$ in $4$ years$$ time. Suppose that you can afford to deposit only $$400$ at the beginning of each year, the first deposit to be made now. What interest rate would you require to reach your target if the bank compounds annually?

Group of answer choices

$9\mathrm{.}13$

$10\mathrm{.}24$

$8\mathrm{.}78$

$8\mathrm{.}62$