Measure how extra contributions adjust your loan timeline
Calculation Methodology
Monthly Payment Formula
Loan payments follow the classic amortization formula:
M = P × [r(1+r)^n] / [(1+r)^n – 1]
- M: Calculated monthly payment
- P: Original loan amount
- r: Monthly interest (APR/12)
- n: Number of scheduled payments
Interest Calculation
Each payment period includes:
Interest = Current Principal × Monthly Rate
Principal = Payment – Interest Cost
Revised Balance = Previous Balance – Principal Portion
Prepayment Impact
When you add extra payments, they reduce principal immediately. This lowers future interest charges, helping the loan finish sooner and saving significant interest.
Lump Sum Payment
A one-time lump sum reduces principal instantly and affects all future interest calculations.
References
- Standard Principles of Amortization
- CFPB Loan Calculation Resources
- Federal Reserve Mortgage Guidelines
Disclaimer: Calculations shown are estimates. Your lender’s actual terms, fees, and calculation methods may differ. Always verify details with your loan provider.