You have just purchased a property for $$4$ million, with $80\%$ financed through a $15-$yearmortgage. The mortgage loan has fixed monthly payments, with the first payment due in exactlyone month from now. The interest rate on the loan is $7\mathrm{.}2\%$ compounded monthly.a$)$ How much is the monthly payment? b$)$ After $3$ years of repayments, what is the outstanding loan amount of your mortgage?c$)$ In your $37$th mortgage repayment, how much is the interest payment and principal payment?