The interest rate on a $30-$year, $$570,000\mathrm{.}00$ mortgage is $5\mathrm{.}50\%$ compounded semi$-$annually. Calculate the amount of interest saved if the mortgage was settled with month$-$end payments in $16$ years instead of month$-$end payments in $30$ years. Note: Round the month$-$end payments to the nearest cent.