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.
Result
- 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
Step-by-step
- Points cost = loan ร points% = $300,000.00 ร 1% = $3,000.00.
- Monthly payment drops from $1,995.91 to $1,945.79, saving $50.11/month.
- 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)โฟ / ((1+r)โฟ โ 1) (r = monthly rate, n = months)
Points cost = Loan ร points%
Break-even months = Points cost รท (Payment_no โ 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
- Inputs:
- loan=300000, rateNoPoints=7, rateWithPoints=6.75, points=1, term=30
- Output:
- save $50.11/mo, break-even โ 59.9 months
- Inputs:
- loan=400000, rateNoPoints=6.5, rateWithPoints=6, points=2, term=30
- Output:
- break-even on $8,000 cost
- 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.