Question
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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