Break-Even Mortgage Point Calculator

Break-Even Mortgage Point Calculator

Decide whether paying discount points is worth it. Enter your loan amount, term, the points you would buy, the base rate without points, the reduced rate with points, and how long you plan to keep the loan. The tool finds the point cost, the payment with and without points, monthly savings, break-even months, total savings over your holding period, and a clear buy-or-skip verdict.

🎯Real Point-Buying Scenarios

📝Loan and Point Details

The mortgage balance you are financing.

Full length of the loan, commonly 15 or 30.

1 point = 1% of the loan, paid upfront.

Rate you would take if you paid no points.

Lower rate the lender quotes after points.

Time before you sell or refinance.

Verdict
Total point cost $0 paid upfront at closing
Monthly savings $0 lower payment each month
Break-even point 0 mo cost divided by monthly savings
Net savings over holding $0 savings minus point cost

🔱Formula Snapshot

Costpoints% × loan
MP r (1+r)^n / ((1+r)^n − 1)
SaveM_no − M_pts
BEcost / monthly save

📋Points to Rate Reduction, Typical

Points BoughtUpfront CostRate Cut (typical)Base to New Rate
0 points$00.00%7.00% to 7.00%
0.5 point0.5% of loanabout 0.125%7.00% to 6.875%
1 point1% of loanabout 0.25%7.00% to 6.75%
1.5 points1.5% of loanabout 0.375%7.00% to 6.625%
2 points2% of loanabout 0.50%7.00% to 6.50%
3 points3% of loanabout 0.75%7.00% to 6.25%

đŸ’”Cost Per Point by Loan Size

Loan Amount1 Point (1%)2 Points (2%)3 Points (3%)
$150,000$1,500$3,000$4,500
$250,000$2,500$5,000$7,500
$300,000$3,000$6,000$9,000
$400,000$4,000$8,000$12,000
$500,000$5,000$10,000$15,000
$750,000$7,500$15,000$22,500

📊Break-Even by Scenario

ScenarioRate MovePoint CostMonthly SaveBreak-Even
300k, 30yr, 1 pt7.00 to 6.75$3,000$50.1160 months
250k, 30yr, 2 pt7.50 to 7.00$5,000$84.7859 months
400k, 30yr, 0.5 pt7.00 to 6.875$2,000$34.2858 months
500k, 15yr, 2 pt6.50 to 6.00$10,000$136.2573 months
200k, 30yr, 3 pt7.25 to 6.50$6,000$100.2860 months
750k, 30yr, 1 pt6.75 to 6.50$7,500$122.9461 months

🗃Points Comparison Grid ($300k, 30yr, base 7.00%)

PointsNew RatePoint CostMonthly PaymentMonthly SaveBreak-Even10-Year Net
0 pt7.000%$0$1,995.91$0.00never$0
0.5 pt6.875%$1,500$1,970.79$25.1260 mo$1,514
1 pt6.750%$3,000$1,945.79$50.1160 mo$3,014
1.5 pt6.625%$4,500$1,920.92$74.9960 mo$4,499
2 pt6.500%$6,000$1,896.20$99.7160 mo$5,965
2.5 pt6.375%$7,500$1,871.61$124.3060 mo$7,416
3 pt6.250%$9,000$1,847.15$148.7660 mo$8,851
4 pt6.000%$12,000$1,798.65$197.2661 mo$11,671

⚙Formula Breakdown

Point cost = (points / 100) × loanOne point equals 1% of the loan. Buying 1 point on a $300,000 loan costs (1 / 100) × 300000 = $3,000, paid upfront at closing.
Monthly rate r = APR / 12Convert the annual rate to a monthly rate. A 7% APR gives r = 0.07 / 12 = 0.0058333, and the number of payments is n = term × 12.
Payment M = P r (1+r)^n / ((1+r)^n − 1)The standard amortization formula. At 7% on $300,000 over 360 months the payment is about $1,995.91 without points.
Payment with pointsRecompute M using the reduced rate. At 6.75% the payment falls to about $1,945.79, since points lower the rate you actually pay.
Monthly savings = M_no − M_ptsSubtract the two payments. Here 1995.91 − 1945.79 = $50.11 saved every month for the life of the loan.
Break-even months = cost / monthly savingsDivide the upfront cost by the monthly savings. 3000 / 50.11 = 59.9 months, roughly 5 years, to recover the point cost.
Net over holding = savings − costMultiply monthly savings by the months you keep the loan, then subtract the point cost. Positive means the points paid off; keep the loan past break-even to win.

💡Smart Point-Buying Tips

Match points to how long you stay: Discount points reward patience. If your break-even is 60 months but you expect to sell or refinance in 4 years, you never recoup the upfront cost and skipping points wins. The longer you truly keep the same loan, the more each point pays back, so be honest about your timeline before you pay to buy the rate down.
Compare points to other uses of cash: The money for points is not free. Weigh the guaranteed monthly savings against putting the same cash toward a larger down payment to drop mortgage insurance, paying off high-interest debt, or keeping an emergency fund. If a bigger down payment removes PMI, that return often beats a modest rate reduction from points.

The closing table typically isn’t a negotiating table. There’s always pressure to sign. It is often a race to the signature line involving pile of paperwork and decisions about title insurance or whether to buy discount points.

You may hear something like, “If you pay cash at closing, we’ll drop your interest rate by a quarter of a percent or more.” It sounds like free lunch. But then you remember that it is real money out of your pocket before you get the keys.

When To Buy Discount Points

The calculator above does the math for you, but knowing how it works will help you believe the answer. Points are nothing more than a one-time payment to prepay interest now (a lump sum) rather than later (over many month). That’s why the payoff depends only on your time horizon. One percent of your loan value is called a “discount point.” A point on a three-hundred-thousand-dollar mortgage would cost you three grand. You’ll save perhaps a quarter of a percent on interest rate for each point, depending on market.

People obsess over how much you’ll save every month and forget about upfront sting. They’re the ones who gets it wrong. It doesn’t matter what you save on your payment unless you remain in the home long enough to recover that up-front expense. If you sell early, you wasted money on a rate cut you never had time to benefit from.

There are three steps to the break-even calculation. It first figures out your total point cost. Next, it uses the usual formula for paying off a loan (in this case, two loans: one at your baseline rate, and another at the discounted rate), which give you two different results; one month’s payment if you had kept the mortgage, and another based on your new, lower rate. Then it takes the difference between those two numbers to give you how much money per month you’re saving. Finally, it divides the amount you paid in points by that number. This is the number of months until your savings have grown enough to offset initial investment. Simple math, and yet it drive everything.

When does the tide shift? From red to black? Let’s say, for example, that you has borrowed three-hundred-thousand-dollars over thirty years at the rate of seven percent. That means your monthly mortgage payment will be approximately two grand. You decide to purchase one point for three thousand bucks. This reduces interest rate down to six and three quarter percent. And it reduces your payment by around fifty bucks per month. Three thousand divided by fifty equals
sixty months. You break even in five years. Everything beyond that point is gravy. Sell/refi prior to this date? Points wasted. You lost money on the transaction. The calculator displays all of this data with ease, so you’ll know your tipping-point instanly.

This brings us to the biggest variable in this equation: Your holding period. The longer you hold a mortgage, the more points makes sense. They only start paying over time. A borrower with a twenty year horizon gets an entirely different answer from one with a three-year horizon. Many homeowners sell or refinance long before their loan reach thirty years, as evidenced by national average numbers. No matter how compelling the savings on paper look, points is a bad match for short-term borrowers. Get brutally honest about your timeline. If there’s any realistic possibility that you’ll refinance at a later date (and rates drop), then the upfront cost can vanish before you’ve broken even.

But there’s more to consider different than cold, hard cash. What else would you do with that money? That point is that money isn’t free money. Free money doesn’t sit idling. It’s money you’d put toward something else, such as increasing your down payment so you don’t have to deal with private mortgage insurance at all. You could also pay off high interest debt, like the kind on your credit cards. This debt usually cost more than any discount you’ll recieve from your mortgage, and will save you even more. Another good idea: keeping an emergency fund.

Break-even months are the core of this analysis, but the reality of liquidity needs and tax deductibility should also enter into your thinking. For some borrowers, the discount points is tax-deductible in the year of purchase, which softens the equation a bit further. Check with a tax pro to see what applies where you live.

You’re trying to improve your financial position here, not simply reduce your monthly payment. Plug the numbers in. Read the verdict. And if the timeline really does work out in your favor, then go ahead and buy points. Otherwise, leave the cash in hand. There’s no sense tying it up in a property you intend to vacate.

Break-Even Mortgage Point Calculator