Enter the principal loan amount, total number of monthly payments, and the number of payments already made into the calculator to estimate the remaining principal (an early-settlement estimate under a straight-line, no-interest assumption).
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Early Settlement Formula
The following formula estimates the remaining principal (sometimes used as a rough early-settlement estimate) assuming the principal is repaid evenly over n monthly payments and ignoring interest, fees, and prepayment penalties.
ES = P \cdot \frac{n - t}{n}Variables:
- ES is the estimated early settlement amount (remaining principal) ($)
- P is the principal loan amount ($)
- n is the total number of monthly payments
- t is the number of payments already made
To estimate the early settlement amount under this straight-line model, multiply the principal loan amount by the fraction of payments remaining: (n − t) / n.
What is an Early Settlement?
Early settlement (also called early payoff or prepayment) refers to paying off a loan before its scheduled maturity date. The actual payoff amount at a given time typically equals the outstanding balance plus any accrued interest and may include fees or prepayment penalties, depending on the loan agreement. Because of this, a true early settlement amount generally depends on the interest rate, payment amount, and amortization schedule—not only the original principal and number of payments.
How to Calculate Early Settlement?
The following steps outline how to calculate the Early Settlement amount (estimated remaining principal using the straight-line, no-interest model shown above).
- First, determine the principal loan amount ($).
- Next, determine the total number of monthly payments (n).
- Next, determine the number of payments already made (t).
- Next, gather the formula from above = ES = P × ((n – t) / n).
- Finally, calculate the estimated Early Settlement amount (remaining principal).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
principal loan amount ($) = 5000
total number of monthly payments = 36
number of payments already made = 12
