You put $20\%$ down on a home with a purchase price of $$500,000.$ The down payment is thus $$100,000$ leaving a balance owed of $$400,000$A bank will loan you this remaining balance $(400,000)$ at $6\mathrm{.}90\%$ APR You will make monthly end$-$of$-$the$-$period payments with $30-$year payment schedule. What is the monthly payment under this schedule?