You agree to make $24$ deposits of $$500$ at the beginning of each month into a bank account. At the end of the $24$th month, you will have $$12,800$ in your account. If the bank compounds interest monthly, what nominal annual interest rate will you be earning?

Question $13$ options:

$7\mathrm{.}20\%$

$5\mathrm{.}41\%$

$6\mathrm{.}09\%$

$4\mathrm{.}86\%$

$6\mathrm{.}12\%$