On January $1,2025,$ Bend Company purchased a building and signed a ten$-$year mortgage for $$450,000$ at $8\%.$ The note will be paid in equal annual installments of $$67,063,$ beginning January $1,2026.$ Calculate the balance of Mortgages Payable after the payment of the first instaliment. $($Round answer to the nearest whole number.$)$

A$.$ $$414,000$

B$.$ $$418,937$

C$.$ $$382,937$

D$.$ $$351,874$