Use PMT$=$Prn$11+$rn$$nt to determine the regular payment amount, rounded to the nearest dollar. The price of a home is $$223,000.$ The bank requires a $20\%$ down payment and three points at the time of closing. The cost of the home is financed with a $30-$year fixed$-$rate mortgage at $9\mathrm{.}5\%.$ Complete parts $($a$)$ through $($e$)$ below.