Ms$.$ Shillingford agrees to repay a loan by paying $$500$ at the end of each month for $5$ years. The first payment is due at the end of the $5$th month from today $($count $5$ years from that moment$).$ If the interest rate is $4\%$ compounded monthly, find the amount of the loan. Choose the closest answer.

a$)$ $$29,852$

b$)$ $$29,088$

c$)$ $$27,150$

d$)$ $$26,791$

e$)$ $$24,683$