You have just purchased a property for $$4$ million, with $80\%$ financed through a $15-$year mortgage. The mortgage loan has fixed monthly payments, with the first payment due in exactly one month from now. The interest rate on the loan is $7\mathrm{.}2\%$ compounded monthly. a$)$ How much is the monthly payment? $(5$ marks$)$ b$)$ After $3$ years of repayments, what is the outstanding loan amount of your mortgage? $(4$ marks$)$ c$)$ In your $37$th mortgage repayment, how much is the interest payment and principal payment? $(3$ marks$)$

Be as detailed as possible. Thx