The McDonald Group purchased a piece of property for $$1$ million. It paid a down payment of $20\%$ in cash and financed the balance. The loan terms require monthly payments for $15$ years at an annual percentage rate of $7\mathrm{.}75\%$ compounded monthly. What is the amount of each mortgage payment? $($choose the closest answer$)$

$$7,530\mathrm{.}21$

$$8,978\mathrm{.}26$

$$9,036\mathrm{.}25$

$$9399\mathrm{.}18$