Julie and John Aggie want to purchase $80$ acres of farm land valued at $$1,500$ per acre. Their lender requires a $30\%$ down payment. Assume twenty annual payments. The interest rate is $8\%.$

A$)$ Calculate the schedule of interest and principal payment over the life of the loan using the constant payment method and the constant payment method on principal method.

B$)$ What is the total interest paid over the life of the loan with each method?

C$)$ Calculate the interest and principle payment schedule for a $5$ year balloon payment loan. Assume the annual payments $8\%$ interest rate, and a twenty year amortization schedule.