How the mortgage points calculator works
A lender offers you a deal: pay some money at closing and get a lower rate for as long as you keep the loan. That money is points, also called discount points, and one point is 1% of the loan. On a $320,000 loan a point is $3,200. Whether it is a good trade comes down to one question the lender cannot answer for you: how long will you keep this particular loan?
Enter the loan, the rate with no points, and up to three options from your lender's quote, each as a number of points and the rate it buys. If you leave a rate blank, the page estimates it at the usual 0.25 off per point and says so. You get the cost of each option, what it saves a month, when it pays for itself counted two ways, where it stands by the time you expect to sell or refinance, and what an early refinance would do to it.
The formula
monthly payment = P × r × (1 + r)n ÷ ((1 + r)n − 1)
usual break-even = cost ÷ monthly saving
ahead after any month = monthly saving × months + (balance with no points − balance with points) − cost
P is the loan, r is the monthly rate (the yearly rate divided by 12, as a decimal), and n is the number of payments. The last line is the true break-even: the first month it reaches zero is when the interest the points have saved covers what they cost. If you enter what your cash could earn instead, every dollar is brought back to today's dollars at that rate before it is counted.
Worked example
A $320,000 loan at 7.40% over 30 years is $2,215.62 a month. The lender offers two options.
- 1 point costs $3,200. At the usual 0.25 per point it buys the rate down to about 7.15%, a payment of $2,161.30: $54.31 a month less.
- 2 points cost $6,400 and buy about 6.90%, a payment of $2,107.52: $108.09 a month less.
The usual break-even divides the cost by the monthly saving: 4 years 11 months for 1 point, 5 years for 2. Counted the way that matters, by the interest saved, both pay for themselves after 4 years, nearly a year sooner. Keep the loan 11 years and 1 point comes out about $5,688 ahead, 2 points about $11,350 ahead.
Refinance after 3 years instead and the same points leave you $787 and $1,575 behind. If the lender actually quotes 7.125% for 1 point and 6.875% for 2, they pay for themselves in 3 years 8 months and 3 years 10 months. If your $3,200 could earn 4% in a savings account, 1 point needs 4 years 5 months.
Why the usual break-even is a little too cautious
Most points calculators divide the cost by the monthly saving and stop. That treats the whole payment saving as money in your pocket, and it misses half of what a lower rate does. Every payment is part interest and part principal. At a lower rate less of each payment goes to interest, so more of it goes to your balance, and you owe less every month than you would have at the higher rate.
That smaller balance is real money the day you sell or refinance. What points really buy is interest saved, and counting it that way pulls the break-even forward, here from 4 years 11 months to 4 years. It is the same method the refinance calculator uses, and for the same reason: the payment is only part of the story.
More points do not pay back faster
Look at the example again: 1 point and 2 points both break even after 4 years. That is not a coincidence. When each point buys about the same cut in the rate, two points cost twice as much and save twice as much, so they reach the finish line at the same moment. The size of the loan does not move it either: a point on a $150,000 loan and a point on a $900,000 loan pay back in the same month. What changes is the stakes. Stay 11 years and the second point doubles your gain. Refinance in 3 and it doubles your loss.
So the price per point decides how fast points pay off, and the number of points is really a question about how sure you are of the stay. Real rate sheets often charge more for each extra point, which makes the second point slower than the first. Put the lender's actual quotes in the rate boxes and the page will show you exactly where that happens.
Points and refinancing
Points belong to the loan that bought them. Sell the home or refinance, and the lower rate ends with that loan, while the cash you paid for it is gone. When rates are high, a refinance in the next few years is a real possibility, and a break-even of 4 or 5 years means a refinance before then turns points into a cost you never get back. That is a fair reason to put the stay a little shorter than you might guess, and the table in your result shows where you would stand at every point along the way.
If a seller is offering a credit rather than you paying points yourself, the choice is different: the money could also come off the price or pay for a temporary 2-1 buydown. The buydown calculator compares all three side by side.
Points and taxes
The page does not count taxes, because most households take the standard deduction. If you itemize, the IRS lets you deduct points paid to buy your main home in the year you pay them, when they meet its conditions: among them, they show clearly as points on your settlement statement and you paid at least that much at closing from your own funds. Points on a refinance are deducted a little at a time over the life of the loan. IRS Topic 504 has the full list, and a tax preparer can tell you whether it changes your answer.