Mortgage & home buying · Calculation notebook

Mortgage refinance break-even calculator: formulas, examples and mathematical principles

Learn the inputs, formula and worked example behind the Mortgage refinance break-even calculator, including solve the break-even equation, then round the period, result interpretation, assumptions and sources.

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Purpose and steps

Monthly savings = current payment − new payment. Simple break-even months = closing costs / positive monthly savings. The selected-stay comparison also adjusts for each loan’s remaining balance. The calculation runs locally and keeps cash-flow timing consistent with the stated assumptions.

  1. Confirm currency and monthly versus annual amounts. U.S. tax and loan models should be used within their stated scope.
  2. Prepare Current mortgage balance, Current annual rate, Remaining loan term, New annual rate, New loan term, Refinance closing costs, Expected years in the home. Defaults demonstrate the model rather than your personal circumstances.
  3. Check the headline result and its components. A key interpretation for this tool is: A lower payment can come from extending the term and may not reduce lifetime interest.
  4. Compare the baseline with a changed scenario: Compare both break-even months and debt-adjusted savings at the year you expect to sell or refinance again.

Input reference and units

These values reproduce the model’s demonstration. Replace them with your own records or measurements; they are not recommended targets.

On a small screen, swipe the table horizontally to see all columns.

Parameters used by this calculator
ParameterDemonstration valueHow to enter it
Current mortgage balance320000 USDUse dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars.
Current annual rate6.5 %Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal.
Remaining loan term28 yearsUse years here. The model converts to months when the payment schedule requires it.
New annual rate5.25 %Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal.
New loan term30 yearsUse years here. The model converts to months when the payment schedule requires it.
Refinance closing costs6400 USDUse dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars.
Expected years in the home10 yearsUse years here. The model converts to months when the payment schedule requires it.

Model-specific method

How this calculator produces its result

Monthly savings = current payment − new payment. Simple break-even months = closing costs / positive monthly savings. The selected-stay comparison also adjusts for each loan’s remaining balance.

Solve the break-even equation, then round the period

Break-even sets cumulative benefit equal to the cost to recover. Dividing solves the linear equation only if benefit per period stays constant. A result of 30.2 months means the original cost has not yet been fully recovered at month 30; whole-month reporting rounds up to 31.

A nonpositive saving or contribution has no finite simple payback for a positive initial cost. Payback also ignores what happens after recovery and the time value of money. For refinancing, compare remaining balances and cumulative interest; for a business, check capacity and whether fixed costs rise as sales increase.

Simple payback = upfront cost / saving per period
Break-even units = fixed cost / (price − variable cost)
Whole periods or units = ceil(calculated result)
  • Upfront cost: incremental cash paid now
  • Saving: recurring difference between matched scenarios
  • Contribution: price minus variable cost per unit
  • ceil: smallest integer not below the calculated value

Worked example

$6,400 closing costs and $200 monthly payment savings produce a simple break-even point of 32 months, before tax effects and other loan-specific charges.

Reproduce the default scenario

This is a separate example, calculated using the exact engine on the tool page and the defaults in the input reference above. Health examples use metric units. Displayed rounding may differ from intermediate precision.

Monthly payment savings
303.4 USD
Current monthly payment
2,070.45 USD
New monthly payment
1,767.05 USD
Closing costs
6,400 USD
Break-even time
21.09 months
Lifetime interest savings before costs
59,533.03 USD
Lifetime savings after costs
53,133.03 USD
Debt-adjusted savings over selected stay
31,001.7 USD

Reading results without overstating them

  • A lower payment can come from extending the term and may not reduce lifetime interest.
  • Compare both break-even months and debt-adjusted savings at the year you expect to sell or refinance again.

Assumptions and exclusions

  • Assumes fixed-rate fully amortizing loans and treats closing costs as cash paid. It excludes points, taxes, escrow changes, prepayment penalties, cash-out proceeds, and tax deductions.
Test a changed assumption in the calculator

Sources and content notes

Toolify describes the implemented algorithm and its assumptions. Sources below support the topic or applicable rules; they do not endorse this calculator. Examples are illustrative, and published rules take precedence over simplified estimates.

Report a formula, example or translation issue through our contact page. Include the tool name, inputs and expected result so it can be reproduced. Contact Toolify