Fidamen

Mortgage Interest Calculator with Extra Payments

This calculator shows how fixed extra monthly payments reduce the life of a fixed-rate mortgage and the total interest paid. It computes the scheduled monthly payment for the entered rate, then recalculates payoff time and interest when you add a constant extra monthly amount that is applied directly to principal.

Use this tool to compare scenarios (no extra vs extra schedule), check sensitivity to extra amounts, and estimate how much interest and time you may save. It assumes monthly compounding and that extra amounts are applied each month in addition to the scheduled payment.

Updated Nov 15, 2025QA PASS — golden 25 / edge 120Run golden-edge-2026-01-23

Governance

Record 4307abf00dc4 • Reviewed by Fidamen Standards Committee

Inputs

Results

Updates as you type

Scheduled monthly payment (no extra)

$1,347.13

Monthly payment including extra

$1,347.13

Number of payments to payoff (months) with extra

360

Years to payoff with extra

30

Total interest paid (no extra)

$184,968.26

Total interest paid (with extra)

$184,968.26

Interest saved by paying extra

-$0.00

Months saved (compared to original term)

-0

OutputValueUnit
Scheduled monthly payment (no extra)$1,347.13USD
Monthly payment including extra$1,347.13USD
Number of payments to payoff (months) with extra360—
Years to payoff with extra30—
Total interest paid (no extra)$184,968.26USD
Total interest paid (with extra)$184,968.26USD
Interest saved by paying extra-$0.00USD
Months saved (compared to original term)-0—
Primary result$1,347.13

Visualization

Methodology

The tool uses the standard amortization formula for fixed-rate loans. Monthly rate r = annual_rate / 12 / 100 and payments count n = term_years * 12.

To estimate payoff time when adding a fixed extra monthly amount, the calculator solves the closed-form amortization equation for the number of remaining payments. All interest calculations assume payments are applied monthly and there are no additional fees, escrow payments, or prepayment penalties.

Development practices and numeric handling follow industry recommendations for numerical stability and data protection: IEEE floating-point best practices for arithmetic stability, NIST guidance for secure handling of user data, and ISO quality-management principles for verification. This is a numerical estimator, not a substitute for lender-provided payoff statements.

Worked examples

Example: $300,000 loan, 3.50% annual rate, 30 years: scheduled payment ≈ computed P. Add $200 extra monthly and see years to payoff and interest saved.

If the added extra monthly is less than the monthly interest portion (loan_amount multiplied by the periodic rate), the formula will not converge; the calculator will show very long payoff time. Ensure extra_monthly plus scheduled payment exceeds loan_amount multiplied by the periodic rate.

F.A.Q.

Does this calculator include closing costs, taxes, insurance, or HOA fees?

No. This tool models principal and interest only. It does not include taxes, insurance, homeowner association dues, lender fees, or escrow items. Use lender statements for a full payment breakdown.

Are prepayment penalties or lender rules considered?

No. The calculator does not know your loan contract. Check your loan documents or ask your servicer for prepayment penalties or required payment application rules before making extra payments.

Why might results differ from my lender's payoff quote?

Lender payoff quotes incorporate daily interest accrual, outstanding fees, timing of payments, and specific application of extra amounts. This calculator assumes consistent monthly application and fixed monthly compounding; use lender payoff statements for exact payoff amounts.

How accurate are the results?

Results use standard amortization mathematics and IEEE-recommended numeric methods. Minor differences may occur due to rounding, daily interest accrual, or lender-specific rules. Use this as an estimate and verify with your lender for exact payoff numbers.

Sources & citations

Further resources

Versioning & Change Control

Audit record (versions, QA runs, reviewer sign-off, and evidence).

Record ID: 4307abf00dc4

What changed (latest)

v1.0.0 • 2025-11-15 • MINOR

Initial publication and governance baseline.

Why: Published with reviewed formulas, unit definitions, and UX controls.

Public QA status

PASS — golden 25 + edge 120

Last run: 2026-01-23 • Run: golden-edge-2026-01-23

Engine

v1.0.0

Data

Baseline (no external datasets)

Content

v1.0.0

UI

v1.0.0

Governance

Last updated: Nov 15, 2025

Reviewed by: Fidamen Standards Committee (Review board)

Credentials: Internal QA

Risk level: low

Reviewer profile (entity)

Fidamen Standards Committee

Review board

Internal QA

Entity ID: https://fidamen.com/reviewers/fidamen-standards-committee#person

Semantic versioning

  • MAJOR: Calculation outputs can change for the same inputs (formula, rounding policy, assumptions).
  • MINOR: New features or fields that do not change existing outputs for the same inputs.
  • PATCH: Bug fixes, copy edits, or accessibility changes that do not change intended outputs except for previously incorrect cases.

Review protocol

  • Verify formulas and unit definitions against primary standards or datasets.
  • Run golden-case regression suite and edge-case suite.
  • Record reviewer sign-off with credentials and scope.
  • Document assumptions, limitations, and jurisdiction applicability.

Assumptions & limitations

  • Uses exact unit definitions from the Fidamen conversion library.
  • Internal calculations use double precision; display rounding follows the unit's configured decimal places.
  • Not a substitute for calibrated instruments in regulated contexts.
  • Jurisdiction-specific rules may require official guidance.

Change log

v1.0.0 • 2025-11-15 • MINOR

Initial publication and governance baseline.

Why: Published with reviewed formulas, unit definitions, and UX controls.

Areas: engine, content, ui • Reviewer: Fidamen Standards Committee • Entry ID: ea7ad6de8bec