You are considering purchasing a new home. The home costs $$250,000$ to purchase. A mortgage company offers you a $30-$year fixed rate mortgage at a $4\mathrm{.}5\%$ rate compounded monthly. If you borrow $80\%$ of the purchase price from this mortgage company, your monthly mortgage payment will be closest to:

A$.$ $$1013\mathrm{.}37$

B$.$ $$1,009\mathrm{.}58$

C$.$ $$1266\mathrm{.}71$

D$.$ $$1499\mathrm{.}37$

E$.$ $$890\mathrm{.}56$