Mortgage Points Calculator

Discount points buydown cost, monthly savings, and break-even months.

Finance and MoneyUpdated 2026-10-112 min read
Mortgage Points Calculator
One point is 1% of the loan.
Monthly savings
...
Break-even...
Points cost...

What it does

Discount points trade cash at closing for a lower rate every month after. One point is 1% of the loan, so the question is always months: how long until the monthly savings repay the upfront charge.

The tool above takes loan amount with base rate, bought-down rate, and points charged. It returns monthly savings, break-even months, and points cost. The default $300,000 loan from 7% to 6.75% with 1 point saves $50.11 a month against $3,000.00 upfront, breaking even at 59.9 months.

Mechanics match Consumer Financial Protection Bureau guidance: points buy the rate down while lender credits do the reverse, and fractional points scale linearly. The Bureau works the same arithmetic this page checks, with $675 for 0.375 points moving payment about $14 a month.

Rate reduction per point floats with lenders and markets, so both rates stay user inputs here. Time value, taxes, and selling plans sit outside; the break-even month is the planning line, not the whole decision.

How to use

  1. Type the loan amount.
  2. Type the zero point base rate.
  3. Type the bought-down rate from the lender sheet.
  4. Type points charged, fractions allowed.
  5. Read savings first, break-even beside it.
  6. Compare break-even against your hold horizon.

Formula

Points $ = loan x points / 100. M = P x r / (1 minus (1+r)^-360). Savings = M base minus M new. Break-even = cost / savings.
points
Upfront charge in points; 1 point is 1% of the loan.
M
Monthly principal and interest at 30 year fixed math.
break-even
Months until savings repay the points cost.

Rate buydown per point is negotiated, never fixed, so the engine prices whatever two rates you type. Refinance break-even lives on its own page; this one prices purchase points.

Worked example

Example: $300,000, 7 to 6.75%, 1 point

Defaults: $300,000 loan, 7% base, 6.75% with 1 point.

  1. Cost: 300,000 x 1 / 100 = $3,000.00.
  2. Base payment: $1,995.91 a month.
  3. New payment: $1,945.79 a month.
  4. Savings: 1,995.91 minus 1,945.79 is about $50.11/mo.
  5. Break-even: 3,000 / 50.11 = 59.9 months.
  6. Tool shows $50.11/mo, 59.9 months, $3,000.00.

Reference table

Points costs and Bureau checks
CaseUpfrontMonthly move
1 point on $100,000$1,000Varies by buydown
1 point on $300,000$3,000.00$50.11 at 7 to 6.75%
0.375 points on $180,000$675About $14 (Bureau table)
0.5 points on $100,000$500Half the 1 point cost
0.125 points on $100,000$125Eighth point cost

Limits

  • Ignores time value of upfront cash.
  • Taxes and deductions excluded.
  • Assumes full hold past break-even.
  • Adjustable rates need other math.

Common mistakes

  • Assuming each point always buys 0.25%.
  • Comparing break-even against loan term instead of hold time.
  • Forgetting points raise cash to close.
  • Mixing lender credits with discount points.
  • Refinancing right after paying points.

Try it yourself

Quick checks. Answers sit tucked under each question.

1 point on $100,000?

$1,000 upfront cost.

0.375 points on $180,000?

$675 upfront cost.

Same rate both sides?

Rejected: the new rate must sit below base.

Questions

What is the default answer?

$50.11 a month savings with break-even at 59.9 months.

What is one point?

1% of the loan: $3,000 on $300,000.

Worth it?

Hold past break-even and yes; sell sooner and no.

Fixed buydown per point?

No. Lenders negotiate it daily; type both rates.

Refinance page versus this?

That prices refinance closing break-even; this prices purchase rate buydown.

Fractional points?

Allowed: 0.375 points on $180,000 is $675.

Sources

How this page was checked. The formula above was matched against the cited sources, and the worked example was run through the tool on this page before publishing. If you spot an error, contact us so we can fix it and note the correction.