The interest rate on a $20-$year, $$470,000\mathrm{.}00$ mortgage is $4\mathrm{.}10\%$ 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 $20$ years.

Note: Round the month$-$end payments to the nearest cent.

Round to the nearest cent