The Roths bought a house for $$437,100.$ They paid the sellers a $20\%$ down payment and obtained a simple interest amortized loan for the balance from their bank for the remainder, at $47/8\%$

for thirty years. The bank in turn paid the sellers the loan amount, less a $6\%$ sales commission paid to the sellers' and buyers' real estate agents. The bank charged them $2$ points plus fees totaling $$8,521\mathrm{.}85$; of these fees, $$6,297\mathrm{.}38$ were included in the finance charge.