In: Finance
Only Part c and d (Plan 3 & Plan 4) Using Excel only
J&J Cattle has purchased a quarter section of land for $160,000. They make a down payment of $20,000, and the remainder of the purchase price ($140,000) is financed at 11 percent compounded quarterly with quarterly payments over 2 years. Develop an Excel® table to illustrate the payment amounts and schedule for the loan, assuming payback follows
Plan 1: Pay the accumulated interest at the end of each interest period and repay the principal at the end of the loan period.
Plan 2: Make equal principal payments, plus interest on the unpaid balance at the end of the period.
Plan 3: Make equal end-of-period payments.
Plan 4: Make a single payment of principal and interest at the end of the loan period. A different plan: Pay off the principal per the table below. In addition, pay the accumulated interest at the end of each interest period.
|
Quarter |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
Principal |
$X |
$ 2X |
$ 5X |
$ 4X |
$3X |
$3X |
$2X |
$X |
| Purchase value | 160,000 | $ | |||||||
| Down payment | 20,000 | $ | |||||||
| Loan | 140,000 | $ | |||||||
| Interest rate | 11% | compounded quarterly | |||||||
| Payment term | 2 | years | |||||||
| 8 | quarters | ||||||||
| Plan 3: Make equal end of period payments | |||||||||
| This plan would require loan repayment to be made in equated quarterly payments | |||||||||
| at the end of the period | |||||||||
| using Excel's inbuilt PMT function, the periodic payment is calculated as follows: | |||||||||
| PV | 140000 | ||||||||
| Rate | 2.75% | per quarter | |||||||
| N | 8 | quarters | |||||||
| Quarterly payments | -19,734 | ||||||||
| The loan repayment schedule is as follows for plan 3 | |||||||||
| Quarter | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| Payment | 19,734 | 19,734 | 19,734 | 19,734 | 19,734 | 19,734 | 19,734 | 19,734 | |
| Plan 4: | |||||||||
| Principal repayment as per following table and accumulated interest payment at the end of every quarter | |||||||||
| Quarter | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| Principal | $X | $ 2X | $ 5X | $ 4X | $3X | $3X | $2X | $X | |
| Total principal divisions | 21 | ||||||||
| X | = | 6,667 | |||||||
| Quarter | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Beginning loan | 140000 | 140,000 | 133,333 | 120,000 | 86,667 | 60,000 | 40,000 | 20,000 | 6,667 |
| Principal pay | 1 | 2 | 5 | 4 | 3 | 3 | 2 | 1 | |
| Principal pay | 6,667 | 13,333 | 33,333 | 26,667 | 20,000 | 20,000 | 13,333 | 6,667 | |
| Interest pay | 3,850 | 3,667 | 3,300 | 2,383 | 1,650 | 1,100 | 550 | 183 | |
| Ending loan | 140,000 | 133,333 | 120,000 | 86,667 | 60,000 | 40,000 | 20,000 | 6,667 | 0 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
| Total payment | 10,517 | 17,000 | 36,633 | 29,050 | 21,650 | 21,100 | 13,883 | 6,850 | |