One question, answered in months
Discount points are prepaid interest: you hand the lender cash at closing and they permanently lower your rate. The only question that matters is how long it takes the monthly savings to repay the upfront cost — the break-even point. Before that month, the points are losing you money; after it, every payment is pure savings. This page divides the first number by the second.
Output · formula · meaning
| Output | Formula | What it means |
| Points cost | points% × loan | The upfront price of the buy-down: $6,000 on the defaults (1.5% of $400,000). |
| Monthly P&I, no points | loan × r(1+r)n ÷ ((1+r)n − 1), r = 7.00% ÷ 12 | Your payment at the higher rate: $2,661.21/mo. |
| Monthly P&I, with points | same formula, r = 6.625% ÷ 12 | Your payment at the bought-down rate: $2,561.24/mo. |
| Monthly savings | no-points P&I − with-points P&I | The return on the $6,000: $99.97/mo. |
| Break-even point | points cost ÷ monthly savings | $6,000 ÷ $99.97 = 60 months — the month the buy-down pays for itself. |
| Net over planned stay | savings × stay months − points cost | +$2,397 over a 7-year stay — 24 months of savings beyond break-even. |
Worked example: the $400,000 loan at 7.00% vs 6.625%
Loan $400,000, 30-year fixed. No-points quote: 7.00% → monthly rate r = 0.07 ÷ 12, P&I = $2,661.21. With-points quote: 6.625% for 1.5 points → P&I = $2,561.24. Monthly savings: 2,661.21 − 2,561.24 = $99.97. Points cost: 1.5% × $400,000 = $6,000. Break-even: $6,000 ÷ $99.97 = 60 months (5 years). Net over a 7-year stay: $99.97 × 84 − $6,000 = +$2,397. The verdict reads points win: break-even lands at month 60, two full years before the planned exit — every payment after that is money the points earned you.
The three verdicts, in plain English
Points win — break-even lands comfortably inside your stay (month 60 of 84 here). The savings after break-even are the reward for keeping the loan. Marginal — break-even falls inside the stay but barely; you’re ahead on paper, yet selling or refinancing a few months early would erase it. Points lose — break-even is beyond your planned stay, so you walk away still behind. In that case the no-points rate (or a lender credit, the mirror image) is the better deal.
Who uses this
- Homebuyers: deciding whether the discount-points line on the loan estimate is worth paying, before signing day.
- Refinancers: weighing a points buy-down against a lender credit that pays closing costs instead.
- Mortgage advisors: walking a client through the break-even math in the room where the decision gets made.
- Students & researchers: seeing amortization in action — a 0.375% rate delta, fully priced out.
Accuracy & limitations
This is 30-year fixed-rate P&I math — principal and interest only; property tax, insurance, PMI, and HOA aren’t in the savings (run the mortgage calculator for the full PITI picture). The tax deductibility of points is ignored — see the guide below for that. It assumes you keep the loan for the full planned stay; refinancing or selling resets the clock and strands any unrecovered points. The rate cut per point varies by lender and by day — always enter the two actual quotes, never the 0.25%-per-point rule of thumb. Figures round to cents. This page does arithmetic, not lending advice.
For the full picture, read are mortgage points worth it, see the points-vs-credit trade in how closing costs are calculated, and itemize your own closing lines in the closing cost estimator.
Cite this calculatorBright Side Kit. “Mortgage Points Break-Even Calculator.” brightoolbox.com, 2026.Bright Side Kit. "Mortgage Points Break-Even Calculator." https://brightoolbox.com/mortgage-points-break-even-calculator/ Accessed October 22, 2026.
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