You agree to make $24$ deposits of $$500$ at the beginning of each month into a bank account. At the end of the $24$ th month, you will have $$13,050$ in your account. If the bank compounds interest monthly, what nominal annual interest rate will you be earning?

$7\mathrm{.}58\%$

$9\mathrm{.}25\%$

$9\mathrm{.}17\%$

$7\mathrm{.}98\%$

$6\mathrm{.}06\%$