Finance calculator

Free mortgage points calculator

Calculate whether buying mortgage points makes sense — enter the cost, rate reduction, and expected stay to find your break-even month, updated live, as you type.

InputsLive
Calculate for
Home price
$
Down payment20% of price
$
Interest rate
%
Loan term
yr
Monthly payment (P&I)loan $320,000
Taxes, insurance & fees
Property taxper year
$
Home insuranceper year
$
HOA duesper month
$
PMI rateper year
%
How the result is calculated
The monthly principal and interest payment uses the standard fixed-rate amortization formula:M = P × r × (1+r)ⁿ ÷ ((1+r)ⁿ − 1)
  • P — loan amount (home price minus down payment)
  • r — monthly rate (annual rate divided by 12)
  • n — total payments (years times 12)
Taxes, insurance, PMI and HOA are added on top of P&I to get your full monthly cost.
Check our examples
30-year fixed · $400k home · 20% down · 6.5%15-year fixed · $400k home · 20% down · 6.1%First home · $300k · 10% down · 6.75%
Result
Monthly payment
$2,447.62 /mo
Principal & interest $2,022.62 · 360 payments over 30 years.
Principal & interest$2,022.62
Total interest$408,142
Loan amount$320,000
Total cost$808,142
What's in your monthly payment
Principal & interest$2,022.62
Property tax$300.00
Home insurance$125.00
Insights
To stay inside the 28% rule, gross household income should be roughly $104,898/yr or higher.
Loan paid offJun 2056
Principal > interest fromYear 20
Paid per $1 borrowed$2.28
Interest share of payments56%

All results are estimates. How accurate is this?

Your loan over time

$500k$375k$250k$125k$00Yr 6Yr 12Yr 18Yr 24Yr 30
Remaining balance
Full report

Full Amortization Schedule

Your mortgage payment is $2,447.62 per month for a $400,000 home.

Mortgage summary
Home price$400,000.00
Down payment$80,000.00 (20%)
Loan amount$320,000.00
Interest rate6.5%
Loan term30 years (360 payments)
Principal & interest$2,022.62
Property tax (mo)$300.00
Home insurance (mo)$125.00
Total monthly payment$2,447.62
Total of 360 payments$728,142.36
Total interest paid$408,142.36

How does the term affect my payment?

$5000$3333$1667$0$3,63410yr$2,78815yr$2,38620yr$2,16125yr$2,02330yr

How does the down payment affect my payment?

$5000$3333$1667$0$2,4025%$2,27510%$2,14915%$2,02320%$1,89625%

Payment schedule

#DatePaymentPrincipalInterestBalance
1Jul 2026$2,022.62$289.28$1,733.33$319,710.72
2Aug 2026$2,022.62$290.85$1,731.77$319,419.86
3Sep 2026$2,022.62$292.43$1,730.19$319,127.44
4Oct 2026$2,022.62$294.01$1,728.61$318,833.43
5Nov 2026$2,022.62$295.60$1,727.01$318,537.82
6Dec 2026$2,022.62$297.20$1,725.41$318,240.62
7Jan 2027$2,022.62$298.81$1,723.80$317,941.80
8Feb 2027$2,022.62$300.43$1,722.18$317,641.37
9Mar 2027$2,022.62$302.06$1,720.56$317,339.31
10Apr 2027$2,022.62$303.70$1,718.92$317,035.62
11May 2027$2,022.62$305.34$1,717.28$316,730.27
12Jun 2027$2,022.62$307.00$1,715.62$316,423.28
Showing 12 of 360 payments

Results are estimates. Consult a professional.

How it's calculated

How the mortgage points calculator works

Discount points are upfront fees you pay at closing in exchange for a permanently lower interest rate. One point costs 1% of the loan amount and typically buys down the rate by about 0.25 percentage points. The calculator finds the break-even month: how long until the monthly savings from the lower rate repay the upfront cost.

points cost = loan_amount × (points ÷ 100)
rate reduction ≈ points × 0.25% (lender-specific; confirm on your Loan Estimate)
payment_no_points = P × r₀ × (1 + r₀)^n ÷ ((1 + r₀)^n 1)
payment_with_points = P × r₁ × (1 + r₁)^n ÷ ((1 + r₁)^n 1)
monthly savings = payment_no_points payment_with_points
break-even months = points_cost ÷ monthly_savings
Discount points: CFPB 'What are (discount) points and lender credits and how do they work?'
Example

Worked example: $400,000 loan, 1 point at 7%

Example: $400,000 loan, buying 1 point to drop from 7% to 6.75%

A buyer has a $400,000 loan quoted at 7% for 30 years. Their lender offers to reduce the rate to 6.75% if they purchase 1 discount point at closing.

point cost = $400,000 × 1% = $4,000
payment at 7.00%: M = $2,661/mo
payment at 6.75%: M = $2,594/mo
monthly savings = $2,661 $2,594 = $67/mo
break-even = $4,000 ÷ $67 = 59.7 months (~5 years)
Break-even at ~5 years
If you keep the loan past month 60, the 1 point pays off. Stay 20 more years and the $4,000 upfront cost returns roughly $12,000 in total savings. Sell or refinance before month 60 and you lose money on the point.
Quick reference

Break-even months for 1, 2, and 3 points at different loan sizes

The table below shows the break-even period (in months) for purchasing 1, 2, or 3 discount points at different loan sizes. Base rate 7%, 0.25% rate reduction per point, 30-year fixed. Savings scale with loan size, so the break-even months are the same across loan amounts — what changes is the dollar cost and dollar savings.

Points bought$300k loan$400k loan$500k loan
1 point (6.75%)~60 months (5 yr)~60 months (5 yr)~60 months (5 yr)
2 points (6.50%)~61 months (5 yr)~61 months (5 yr)~61 months (5 yr)
3 points (6.25%)~63 months (5.3 yr)~63 months (5.3 yr)~63 months (5.3 yr)

Source: CFPB discount points explainer; standard amortization math. Break-even rounds to nearest month. Actual rate reductions vary by lender.

Because break-even months barely change with loan size, the decision comes down to: how long do you plan to keep this loan? If less than 5 years, skip the points. If more than 7 years, strongly consider them.

Practical tips

Tips for deciding whether to buy mortgage points

Buying points is a bet on staying in the loan past the break-even date. The math is simple, but the life factors are not. Here is what to weigh before writing a check at closing.

  • Calculate your real break-even first — don't rely on the lender's rule of thumb. Use the actual rate reduction they quote and your specific loan amount. Break-even varies more between lenders than most buyers realize.
  • Estimate how long you will stay — the national median tenure in a home is 8–10 years, but first-time buyers move sooner, often within 5–7 years. Be realistic: if you might relocate for work within 4 years, skip the points.
  • Points are tax-deductible in the year paid — for a home purchase (not a refinance), discount points are generally fully deductible as mortgage interest in the year of closing if you itemize. Confirm with a tax advisor.
  • Compare points to a larger down payment — the same cash that buys two points could instead reduce the loan principal by 1%, which lowers every future interest charge. Run both scenarios.
  • Negotiate points alongside the rate — in a buyer's market or when lenders compete, you can often get a rate reduction without paying full-price points. Ask for a Loan Estimate that shows the rate at 0, 1, and 2 points.
Accuracy & limits

Accuracy and limitations

Break-even calculations assume the rate reduction is exactly as quoted, payments are made on the standard amortization schedule, and you do not refinance before break-even. In practice, refinancing resets the clock: if you refinance at month 40 and break-even was month 60, the points were a net loss. The 0.25% per point reduction is a common market norm, not a law — your Loan Estimate will show the actual rate reduction for the points you are being charged.

Not financial advice — consult a mortgage professional for your specific situation.

Glossary

Mortgage points terms defined

Upfront fees paid at closing to permanently reduce the mortgage interest rate. One point = 1% of the loan amount. Also called 'buying down the rate.'
The month at which cumulative monthly savings from the lower rate equal the upfront cost of the points. Past this month, points are profitable.
The interest rate reduction achieved by purchasing discount points. Typically 0.25% per point, though the exact reduction varies by lender and market.
Fees charged by the lender for processing the loan, expressed as a percentage of the loan. Unlike discount points, origination points do not buy down the rate.
The opposite of discount points. The lender pays some of your closing costs in exchange for a higher interest rate. Useful when you are short on cash at closing.
The federal form lenders must provide within three business days of application. Section A shows origination charges and points. Use it to compare offers across lenders.
About

About this mortgage points calculator

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Questions

Frequently asked questions about the free mortgage points calculator

A mortgage points calculator is a free online tool that helps you calculate the cost of discount points and rate reduction. 1 point = 1% of loan; typically lowers rate by 0.25%. Pays off after about 5-7 years of holding the loan. It runs entirely in your browser with instant results and no sign-up.
No — actual loan terms depend on credit, income docs, and lender underwriting. Use this for planning and what-if scenarios; get a real Loan Estimate before making decisions.
When the calculator asks for them. PITI calculations include property tax, insurance, and PMI; raw P&I calculations don't.
Lenders round payment amounts and may include escrow buffers. Property tax and insurance change over time. Real payments vary 1-5% from these estimates.

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