The formula
How to calculate mortgage points
Paying points means handing over money up front to reduce the interest rate. Whether it pays depends entirely on how long you keep the mortgage at that rate, which the break-even figure answers directly.
The comparison holds everything else constant and prices only the rate difference. The break-even is simply the up-front cost divided by what it saves each month.
The inputs, one by one:
- Mortgage amount
- Rate without points (%)
- Rate with points (%)
- Cost of the points
- Term (years)
Results appear immediately — there is nothing to submit. Changing a field rewrites the link, so you can share the exact scenario you are looking at.
Where a figure is not immediately to hand — a precise interest rate, an exact balance — a reasonable estimate is a perfectly good starting point. Because every result updates instantly, refining a rough guess into the real figure once you have it takes a moment, and nothing about the calculation depends on getting it exactly right on the first attempt.
Why mortgage points matters
A calculation like this usually gets used at a decision point rather than out of curiosity — comparing two real options, checking a number a lender or adviser has quoted, or working out whether a plan that sounded fine in conversation still holds up once it is written down with actual figures. The maths itself is rarely complicated; what is hard is remembering which figures to use and in what order, which is exactly what a dedicated calculator is for.
Beyond a one-off check, the same calculation is worth revisiting whenever the underlying numbers change — a new interest rate, a change in income, a different term. Because the figures live in the page's own web address, coming back to update just one field and compare the new result against the old one takes seconds rather than starting again from a blank page.
It is also worth being clear about what a single figure like this can and cannot settle on its own. It answers the specific question the formula was built to answer, and nothing more — a favourable mortgage points result does not automatically mean a decision is a good one overall, since plenty of other factors that a formula cannot capture, from personal circumstances to how comfortable a commitment feels, usually matter just as much as the arithmetic. Use the number as one solid input among several rather than the whole of the decision.
In practice, most people arrive at a page like this one having already tried a version of the calculation by hand or in a spreadsheet, and use the calculator here to confirm it rather than replace it. That is a reasonable way to use it — the two should agree to the last decimal place if the same inputs and the same formula are used, and if they do not, the formula shown above is the one to check your own working against first.
Worked example
Here is the calculation with the starting values:
- Mortgage amount: 250,000
- Rate without points: 4.75 %
- Rate with points: 4.25 %
- Cost of the points: 5,000
- Term: 25 years
That gives:
- Monthly saving: 70.95
- Break-even: 70.47 months
- Saving over the full term: 16,284.45
These figures are only the calculator's own starting values, included so the working is visible rather than hidden inside the tool above. Replace them with your own numbers and the same arithmetic applies — nothing about the method changes, only the inputs feeding it.
Reading the result
Compare the break-even against how long you realistically expect to keep the deal. A 60-month break-even on a five-year fix is marginal; on a two-year fix it is a straightforward loss.
Where this goes wrong. Points are a US convention that appears in the UK as large arrangement fees on lower-rate products. The arithmetic is identical — treat a £1,999 fee buying a 0.3% lower rate exactly as points and run the break-even.
A useful check on any unfamiliar result is to compare it against a rough mental estimate first — round the inputs to convenient numbers and see whether the calculator's answer lands in roughly the same territory. A wildly different figure usually means one of the fields was entered in the wrong unit, most often a percentage typed as a whole number where a decimal was expected, or the reverse.
Only if you keep the mortgage past the break-even point. For anyone who moves house or remortgages every few years, a fee-free product at a slightly higher rate usually wins.
Slightly, since the lower payment improves the affordability assessment. But the cash spent on points is cash not available for the deposit, which usually matters more by moving you into a better LTV band.
The headline figure is monthly saving. With 250,000 mortgage amount, 4.75 % rate without points and 4.25 % rate with points, that comes to 70.95. Change any field and the figure moves with it.
Whenever one of the underlying figures changes — a new interest rate, a different balance, an updated term — since the result only reflects what is currently in the fields. There is no need to keep a separate record of past results; the web address for a filled-in version already carries the figures used to produce it.
Not unless a tax rate or a fee is explicitly one of the inputs above. Where it is not, the figure shown is a gross calculation, and any tax due depends on your personal circumstances and current tax rules, which are worth checking separately.
The arithmetic itself is exact — the calculator applies the formula shown above precisely, with no rounding until the final figure is displayed. The uncertainty, where it exists, is entirely in the inputs: an estimated rate or an approximate balance carries that same approximation through to the result.