Island News purchased a piece of property for $$1\mathrm{.}79$ million. The firm paid a down payment of $20$ percent in cash and financed the balance. The loan terms require monthly payments for $20$ years at an APR of $4\mathrm{.}75$ percent, compounded monthly. What is the amount of each mortgage payment?

A$)$ $$9,253\mathrm{.}92$

B$)$ $$10,419\mathrm{.}97$

C$)$ $$8,607\mathrm{.}11$

D$)$ $$11,567\mathrm{.}40$

E$)$ $$12,301\mathrm{.}16$