A mortgage loan in the amount of $$112,000$ is made at $6$ percent interest $($compounded

monthly$)$ for $20$ years. If the borrower and lender agree that the loan balance of $$186,000$ will

be payable at the end of year $20.$ Payments are to be monthly. This is a negative amortizing loan.

a$.$ How much total interest will be paid from all payments? How much total principal

will be paid?

b$.$ What will be the loan balance at the end of year $3?$