Mortgage Points Worked Examples: Six Break-Even Scenarios, Step by Step

Rules of thumb are useful until you need to decide. This page replaces the generalities with six worked scenarios for mortgage discount points, each with the arithmetic shown step by step: what the point costs, how the monthly payment changes, and how many months it takes to break even. The examples use round loan amounts and illustrative rates on a 30-year fixed, principal and interest only, because clean numbers make the pattern visible. Your own quote will differ in the decimals, but the method transfers exactly. Every scenario ends with the same three questions: what does it cost, what does it save, and when does it pay? If you want to swap in your own figures as you read, a mortgage points calculator runs each case in seconds.

CHAPTER 01The Setup Used in Every Example

Each scenario uses a 30-year fixed loan and figures rounded to the nearest dollar. Monthly payments are principal and interest only — escrow, insurance, and taxes are unaffected by points, so leaving them out keeps the comparison honest. Rates are illustrative, not quotes: the point of these examples is the shape of the arithmetic, not the specific pricing of any lender on any day.

The method in every case is identical. First, compute the point cost: loan amount times one percent per point. Second, compute the monthly payment at the higher and lower rates. Third, subtract to find monthly savings. Fourth, divide the point cost by the monthly savings to get break-even months. Four steps, one division — everything else is commentary on what the answer means for your horizon.

CHAPTER 02Scenario 1: The Standard Purchase, One Point

Loan amount: $350,000, quoted at 6.75 percent. The lender offers 6.50 percent for one point. Step one: point cost = $350,000 x 0.01 = $3,500. Step two: principal and interest at 6.75 percent is roughly $2,270 a month; at 6.50 percent it is roughly $2,212. Step three: savings = $2,270 − $2,212 = about $58 a month. Step four: break-even = $3,500 ÷ $58 ≈ 60 months.

Interpretation: five years to break even on a thirty-year loan. A buyer who is confident about a decade in the home keeps roughly $58 a month for another twenty-five years — around $17,000 of savings against $3,500 spent. A buyer with a three-year job contract loses the difference between thirty-six months of savings and the $3,500 paid. Same math, opposite verdicts; the horizon decides.

CHAPTER 03Scenario 2: The Refinance with Two Points

Loan amount: $500,000, refinanced from 7.125 percent to 6.625 percent for two points. Step one: point cost = $500,000 x 0.02 = $10,000. Step two: principal and interest at 7.125 percent is roughly $3,368 a month; at 6.625 percent roughly $3,202. Step three: savings ≈ $167 a month. Step four: break-even = $10,000 ÷ $167 ≈ 60 months.

Notice that the half-point rate cut on a larger loan produces larger dollar savings, so two points still break even near the five-year mark. That symmetry is common but not guaranteed — spread pricing varies. If your refi quote shows a two-point cost with a break-even far beyond sixty months, the rate cut is expensive relative to the market, and it is worth asking the lender to price one point or none, and testing each version through a mortgage points calculator before deciding.

CHAPTER 04Scenario 3: One Point That Buys Only an Eighth

Loan amount: $300,000. The lender's sheet shows 6.75 percent at zero points and only 6.625 percent for one point — a rate improvement of just 0.125 percent. Step one: point cost = $3,000. Step two: payment at 6.75 percent is roughly $1,946; at 6.625 percent roughly $1,921. Step three: savings ≈ $25 a month. Step four: break-even = $3,000 ÷ $25 = 120 months.

Ten years to break even on a thirty-year loan, with no refund if you leave early — this is the shape of a bad points trade, and it appears more often than borrowers expect. When a point buys only an eighth of a percent, the lender's pricing that day is thin. The right move is usually to skip the point, or take the same quote to a competing lender and let their point sheet do the arguing.

CHAPTER 05Scenario 4: Taking the Lender Credit

Loan amount: $360,000. The lender offers a $1,800 credit toward closing costs (0.5 of a point) in exchange for a rate 0.25 percent higher: 6.50 instead of 6.25. Step one: credit received = $1,800. Step two: payment at 6.25 percent is roughly $2,215; at 6.50 percent roughly $2,275. Step three: extra cost = about $60 a month. Step four: reverse break-even = $1,800 ÷ $60 = 30 months.

The credit wins if you are out of the loan inside two and a half years; the lower-rate-no-credit option wins if you stay longer. This is the same break-even line crossed from the other side, and it is genuinely useful for buyers who know their horizon: relocations, likely promotions-and-moves, planned short holds. For long stays, the credit quietly taxes every month beyond month thirty.

CHAPTER 06Scenario 5: The Likely Mover

Loan amount: $320,000, quoted at 6.75 percent with 6.50 percent for one point costing $3,200. The payments: roughly $2,076 at 6.75 percent and roughly $2,023 at 6.50 percent, saving about $53 a month. Break-even = $3,200 ÷ $53 ≈ 60 months. The twist: the buyer expects to sell in about 36 months because of a known relocation window.

Over the expected hold, the points return 36 x $53 = about $1,908 against $3,200 spent — a shortfall of roughly $1,300. The verdict writes itself: skip the points, keep the cash, and revisit the rate at the refinance or purchase that follows the move. This is why honest horizon estimates matter more than rate spreads; a good trade on paper fails when the clock is shorter than the break-even.

CHAPTER 07Scenario 6: The Seller-Paid Half Point

Loan amount: $400,000. Negotiation produces a seller concession covering a half point — $2,000 — which lowers the rate from 6.875 to 6.75 percent. Step one: cost to the buyer = $0. Step two: payment at 6.875 percent is roughly $2,628; at 6.75 percent roughly $2,595. Step three: savings ≈ $33 a month. Step four: break-even for the buyer is immediate, because the buyer paid nothing.

When the seller funds the buydown, the buyer keeps the savings for free, and the seller's $2,000 concession may cost less than an equivalent price cut would in monthly-payment terms. This is why concession-for-points requests are a standard negotiation lever in slower markets. For the seller's side of the trade, the calculation is different — but for the buyer, a paid-for rate cut is the best kind.

CHAPTER 08Reading Across the Six Scenarios

Read across the six and the patterns surface. The standard purchase and the standard refinance both broke even near sixty months, because typical point pricing buys about a quarter point of rate and that spread repays in roughly five years across common loan sizes. The expensive half-step stretched past ten years, the lender credit paid off inside thirty months from the other direction, and the two horizon-driven scenarios — the likely mover and the seller-paid concession — were decided by factors no rate sheet contains.

That is the transferable conclusion: the arithmetic sets the range, but your horizon picks the answer. Run your own quote through a mortgage points calculator, then ask the one question the calculator cannot answer — how long will this loan realistically be mine? Answer it honestly and every scenario above becomes a template rather than a tale: the math is identical, only the clock differs.

🔑 Key takeaways

• Every points decision reduces to one division: point cost divided by monthly savings equals break-even months.
• A typical one-point purchase scenario breaks even near sixty months, but pricing that day decides — measure, do not assume.
• When a point buys only about 0.125%, break-even can stretch past ten years and the trade usually fails.
• Lender credits are the same line crossed in reverse; they win on short horizons and lose on long ones.
• A short expected stay turns a good-looking rate spread into a guaranteed loss — horizon first, spread second.
• Seller-paid points flip the economics entirely: the buyer's break-even becomes day one.

❓ Frequently asked questions

📚 More in the Toolfyra blog · or browse all free online tools.