$(6)$ A middle$-$aged couple would like to purchase a larger home. The home they want costs $$310,000$ and they are able to put a $25\%$ down payment in order to reduce their mortgage payments and avoid the Canada Mortgage and Housing charges. Calculate the monthly payments they would have to make in order to pay off the home in $20$ years at an annual interest rate of $4\mathrm{.}8\%$ compounded monthly.