A fully amortized mortgage loan is made for $100000$ at $6$ percent interest for $20$ years. a$)$ Calculate the monthly payment for a CPM loan. b$)$ what will the total of the payments be for the entire $20$ year period? of this total, how much will be interest? c$)$ Assume the loan is repaid at the end of $8$ years. What will the outstanding balance be$?$ How much total interest will be collected by the end of $8$ years.