Worked-example setupScope and assumptions
- The $48,000 principal is outstanding at month 0; 48 equal payments occur at month-end.
- The 6 percent stated annual rate converts to 0.5 percent per month and remains fixed.
- The schedule is analytical and does not round payment, interest, principal, or balance each month.
- Period
- Month 0 through month 48
- Units
- USD and decimal rate per month
- Rounding
- Retain full precision in the schedule; display illustrative rows to cents.
The monthly rate is 0.06 / 12 = 0.005. The level payment is:
$48,000 × 0.005 / [1 - (1.005)^(-48)] = $1,127.281394…
The first two analytical rows are:
| Month | Opening | Interest | Principal | Payment | Closing |
|---|---|---|---|---|---|
| 1 | $48,000.00 | $240.00 | $887.28 | $1,127.28 | $47,112.72 |
| 2 | $47,112.72 | $235.56 | $891.72 | $1,127.28 | $46,221.00 |
Interest falls because it applies to a smaller opening balance. Principal reduction rises because the total payment remains level.
Across all 48 full-precision rows, principal reductions sum to $48,000, total interest is $6,109.5069…, and ending principal is zero within numerical tolerance. A contractual schedule that rounds every row to cents may adjust the last payment and need not reproduce these analytical decimals exactly.
The schedule does not include fees, insurance, taxes, default, prepayment, affordability, disclosures, or a borrowing recommendation. Accounting entries and classification require separate applicable guidance and period facts.
Verified calculation · time value analysis
The curriculum loader recomputed this example before it entered the site build. Expand any structured input to inspect the stated facts.
- loans
- 1 field
Inspect data
{
"equipment_loan": {
"payment_periods": 48,
"payment_timing": "end-of-period",
"payments_per_year": 12,
"principal": 48000,
"rounding_policy": "unrounded-analytical",
"stated_annual_rate": 0.06
}
}Recomputed result
| Measure | Value |
|---|---|
| ending balance | 0 |
| payment | 1,127.2814 |
| periodic rate | 0.005 |
| total interest | 6,109.5069 |
| total payments | 54,109.5069 |
| total principal | 48,000 |