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2. They also borrowed $12,000 from Farm Credit Services to buy some sows. They agreed to pay it back with 3 annual payments, plus 8%

2. They also borrowed $12,000 from Farm Credit Services to buy some sows. They agreed to pay it back with 3 annual payments, plus 8% interest on the remaining loan balance. If the loan is amortized under the equal principal payment plan, how much did they have to pay each time? Assume the first payment is exactly one year after the loan is received, and the other two payments are exactly one year apart.

Principal

Interest

Total Payment

Balance Remaining

1st payment

__$4,000.00___

___$960.00___

__$4,960.00___

__$8,000.00_____

2nd payment

_$4,000.00____

__$640.00____

__$4,640.00___

___$4,000.00___

3rd payment

__$4,000.00__

__$320.00___

__$4,320.00__

___$0__________

Total

__$12,000.00__

__$1,920_______

__$13,920.00_____

3.How much would their payments be if they were amortized under the equal total payment plan? The amortization factor for a 3-period loan at 8% interest is .388.

Total Payment

Interest

Principal

Balance Remaining

1st payment

$4,656.40_

_$960.00_

_$3696.40__

__$8,303.60_

2nd payment

_$4,656.40__

_$664.29___

__$3,992.11__

_$4311.48__

3rd payment

_$4,656.40__

_$344.92__

__$4311.48___

___$0________

Total

__$13,969.2___

$1,969.21_____

__$11,999.99____

4. Matt and Brenda were afraid that the payments the first two years would be two high for them. They arranged a balloon payment loan, with $2,000 principal due each of the first two years, and the remaining $8,000 due the last year. How much would their payments be under this plan?

Principal

Interest

Total Payment

Balance Remaining

1st payment

_____________

_____________

_____________

_____________

2nd payment

_____________

_____________

_____________

_____________

3rd payment

_____________

_____________

_____________

_____________

Total

_____________

_____________

_____________

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