Calculate your early settlement remaining principal from loan amount, total monthly payments, and payments made in a straight-line no-interest model.
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Early Settlement (Remaining Principal) Formula
This calculator uses a straight-line principal repayment model. It assumes the original principal is repaid evenly across the full number of monthly payments. It does not include interest, lender fees, rebates, insurance, taxes, or prepayment penalties.
To calculate the estimated early settlement amount, use:
ES = P * ((N - M) / N)
To calculate the original principal, use:
P = ES * N / (N - M)
To calculate the total number of monthly payments, use:
N = M / (1 - (ES / P))
To calculate the number of payments already made, use:
M = N * (1 - (ES / P))
- ES = estimated early settlement amount, or remaining principal
- P = original principal loan amount
- N = total number of monthly payments in the repayment schedule
- M = number of monthly payments already made
If you leave the early settlement field empty, the calculator estimates the remaining principal. If you leave the principal field empty, it works backward from the remaining principal. If you leave total payments or payments made empty, it estimates the missing payment count and rounds it to a whole month.
Remaining Principal by Loan Progress
The table below shows how much principal remains under the same straight-line method used by the calculator.
| Payments Completed | Principal Repaid | Remaining Principal |
|---|---|---|
| 0% | 0% | 100% |
| 25% | 25% | 75% |
| 50% | 50% | 50% |
| 75% | 75% | 25% |
| 100% | 100% | 0% |
Common Monthly Loan Terms
| Loan Term | Total Monthly Payments | Halfway Point |
|---|---|---|
| 1 year | 12 | 6 payments |
| 2 years | 24 | 12 payments |
| 3 years | 36 | 18 payments |
| 5 years | 60 | 30 payments |
| 7 years | 84 | 42 payments |
Example Problems
Example 1: Calculate the early settlement amount
You borrowed $12,000 over 48 monthly payments and have already made 18 payments.
ES = 12000 * ((48 - 18) / 48)
ES = 12000 * (30 / 48) = 7500
The estimated remaining principal is $7,500.00.
Example 2: Calculate the number of payments already made
The original principal was $20,000, the loan has 60 total monthly payments, and the estimated remaining principal is $14,000.
M = 60 * (1 - (14000 / 20000))
M = 60 * 0.30 = 18
The estimated number of payments already made is 18 payments.
FAQ
Is the early settlement amount the same as a loan payoff amount?
Not always. This calculator estimates remaining principal only. A real payoff or settlement figure may include interest accrued since your last payment, early repayment fees, administrative charges, insurance adjustments, or other lender-specific items.
Why does the calculator ignore interest?
It is designed for a straight-line principal estimate. That means each monthly payment is treated as repaying the same amount of principal. Many real loans use amortization, where the interest and principal portions change over time, so the actual balance can differ.
Can payments made be greater than total payments?
No. Under this model, payments made cannot exceed the total number of scheduled monthly payments. If payments made equals total payments, the remaining principal is zero.
