Mortgage Points Break-Even Calculator

Decide whether paying discount points is worth it: compare monthly payments with and without points and find the break-even month.

Inputs

Mortgage principal.

Annual interest rate with no points paid.

Reduced annual rate after buying points.

Each point costs 1% of the loan and is paid upfront.

Mortgage length in years.

Result

Break-even point
59.9 months (5.0 years)
points cost $3,000.00, save $50.11/mo
  • Payment without points$1,995.91/mo
  • Payment with points$1,945.79/mo
  • Monthly savings$50.11/mo
  • Upfront cost of points$3,000.00
  • Break-even59.9 months
  • Lifetime interest saved$15,040.75
Not financial advice โ€” Compares only the monthly principal-and-interest payment. It ignores the time value of money and tax deductibility of points. If you may sell or refinance before break-even, points usually do not pay off.

Step-by-step

  1. Points cost = loan ร— points% = $300,000.00 ร— 1% = $3,000.00.
  2. Monthly payment drops from $1,995.91 to $1,945.79, saving $50.11/month.
  3. Break-even = cost รท savings = $3,000.00 รท $50.11 = 59.9 months. Keep the loan past this point for points to pay off.

How to use this calculator

  • Enter the loan amount and the two interest rates (with and without points).
  • Enter how many points you are buying (1 point = 1% of the loan).
  • Enter the loan term in years.
  • Read the break-even month โ€” keep the loan longer than this for points to be worth it.

About this calculator

Discount points let you pay money upfront at closing to lower your mortgage interest rate โ€” essentially prepaying interest. Each point costs 1% of the loan amount and typically shaves a fraction of a percent off the rate. Whether that trade is worth it comes down to how long you keep the loan. This calculator computes your monthly principal-and-interest payment both with and without points, finds the monthly savings, and divides the upfront cost by those savings to get the break-even month โ€” the point at which the cumulative savings finally exceed what you paid. If you keep the mortgage past break-even, the points pay off; if you sell or refinance before then, you lose money. The tool also estimates the lifetime interest saved if you hold the loan to term.

How it works โ€” the formula

Payment = L ยท r(1+r)โฟ / ((1+r)โฟ โˆ’ 1) (r = monthly rate, n = months) Points cost = Loan ร— points% Break-even months = Points cost รท (Payment_no โˆ’ Payment_with)

Standard amortization gives each monthly payment; the difference is the monthly saving from the lower rate, and the upfront cost divided by that saving is the break-even time.

Worked examples

Example 1
$300k, 7%โ†’6.75%, 1 point, 30 yr
Inputs:
loan=300000, rateNoPoints=7, rateWithPoints=6.75, points=1, term=30
Output:
save $50.11/mo, break-even โ‰ˆ 59.9 months
Example 2
$400k, 6.5%โ†’6%, 2 points, 30 yr
Inputs:
loan=400000, rateNoPoints=6.5, rateWithPoints=6, points=2, term=30
Output:
break-even on $8,000 cost
Example 3
$200k, 7%โ†’6.5%, 1 point, 15 yr
Inputs:
loan=200000, rateNoPoints=7, rateWithPoints=6.5, points=1, term=15
Output:
faster break-even on shorter term

Limitations

  • Compares principal-and-interest only; excludes taxes, insurance, PMI.
  • Ignores the time value of money and points' tax deductibility.
  • Assumes you hold the same loan; refinancing resets the math.

Decision-support estimate; confirm exact rates and point costs with your lender.

Frequently asked

A discount point is an upfront fee equal to 1% of the loan amount that you pay at closing to reduce your interest rate. Buying points is sometimes called "buying down" the rate. The savings come as a lower monthly payment for the life of the loan.

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