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

Group of answer choices

$4\mathrm{.}37\%$

$3\mathrm{.}35\%$

$4\mathrm{.}10\%$

$3\mathrm{.}00\%$

$3\mathrm{.}90\%$