Purpose and steps
The Mortgage Points Break-Even Calculator validates every input, normalizes monthly and annual amounts, and calculates point cost, rate reduction, monthly savings, interest, and break-even month from one consistent scenario.
- Confirm currency and monthly versus annual amounts. U.S. tax and loan models should be used within their stated scope.
- Prepare Loan amount, Rate without points, Discount points purchased, Rate with points, Loan term. Defaults demonstrate the model rather than your personal circumstances.
- Check the headline result and its components. A key interpretation for this tool is: Despite its historical route name, this tool compares discount points, not a rate-lock-extension fee.
- Compare the baseline with a changed scenario: Compare the break-even month with the expected sale, payoff or refinancing date.
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.
| Parameter | Demonstration value | How to enter it |
|---|---|---|
| Loan amount | 320000 USD | Use actual financed principal, including financed fees only when the tool explicitly models them. |
| Rate without points | 6.75 % | Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal. |
| Discount points purchased | 1 number | Use the definition shown in the field label; keep this assumption consistent when comparing scenarios. |
| Rate with points | 6.25 % | Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal. |
| Loan term | 30 years | Use years here. The model converts to months when the payment schedule requires it. |
Model-specific method
How this calculator produces its result
One discount point costs 1% of the loan. Upfront cost C = principal × points/100. Compute both fixed-rate monthly payments with the amortization equation; monthly savings S = payment without points − payment with points. Simple break-even months = ceil(C/S) when S is positive.
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
A $320,000 loan with one point costs $3,200 upfront. If the quoted rate reduction saves $100 monthly, simple break-even is 32 months. Staying only two years would recover $2,400, leaving $800 of point cost unrecovered.
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.
- Break-even time
- 31 months
- Upfront discount-point cost
- 3,200 USD
- Payment without points
- 2,075.51 USD
- Payment with points
- 1,970.3 USD
- Monthly payment savings
- 105.22 USD
- Total interest without points
- 427,185.01 USD
- Total interest with points
- 389,306.21 USD
- Lifetime savings after point cost
- 34,678.79 USD
Reading results without overstating them
- Despite its historical route name, this tool compares discount points, not a rate-lock-extension fee.
- Compare the break-even month with the expected sale, payoff or refinancing date.
Assumptions and exclusions
- Simple payback excludes discounting, taxes and differences in remaining balances at an early exit. The model pays points upfront rather than financing them.
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