How many months does it take for mortgage discount points to pay back their upfront cost in monthly savings?
This tool is for: Homebuyers comparing a loan offer with and without discount points and wanting to know the break-even horizon · Borrowers deciding whether to pay upfront to buy down a mortgage rate before closing · Homeowners evaluating a lender quote that bundles points into the loan cost
- The exact upfront dollar cost of buying the specified points
- Your monthly payment at the base rate versus the rate after buying points
- The monthly savings from the rate buydown
- How many months of savings are needed to recover the upfront points cost
Formulas Used
Upfront Points Cost
Cost = Loan Amount × (Points / 100)
Where: Cost = Dollar amount paid at closing to purchase the rate buydown (USD), Loan Amount = Total mortgage principal (USD), Points = Discount points as a percentage of the loan amount (e.g. 1.0 = one point) (%)
Source: Consumer Financial Protection Bureau — What are discount points and lender credits? ✓ Verified
Fixed-Rate Monthly Payment (Standard Amortization)
M = P × [r(1+r)^n] / [(1+r)^n - 1]
Where: M = Monthly principal-and-interest payment (USD), P = Loan amount (principal) (USD), r = Monthly interest rate (annual rate / 100 / 12) (decimal), n = Loan term in months (months)
Source: Consumer Financial Protection Bureau — How does my loan payment get applied? ✓ Verified
Points Break-Even
Break-Even Months = Upfront Points Cost / Monthly Savings
Where: Break-Even Months = Number of months to recover the points cost from monthly savings (months), Upfront Points Cost = Dollar amount paid at closing for the rate buydown (USD), Monthly Savings = Reduction in monthly payment from the rate buydown (payment without points minus payment with points) (USD)
Source: Standard cost-recovery identity — Consumer Financial Protection Bureau consumer guidance on mortgage points ✓ Verified
Key Insight
On a $400,000 loan at 7.0%, buying 1 point ($4,000) to reduce the rate to 6.5% saves $132.94/month. The break-even is 31 months — meaning you must hold the loan at least 31 months for the upfront cost to pay back. On a 15-year term, the same rate reduction produces a larger monthly savings and a shorter break-even, because payments are larger and the rate differential has a bigger absolute dollar impact per month.
Frequently Asked Questions
What is a mortgage discount point?
A discount point is a form of prepaid interest paid at closing to permanently reduce the mortgage interest rate. One point equals 1% of the loan amount — on a $400,000 mortgage, one point costs $4,000. The rate reduction per point varies by lender and market conditions, but a common range is 0.125 to 0.25 percentage points of rate reduction per point purchased. Discount points are distinct from origination points, which are lender fees that do not reduce the interest rate.
How do I decide whether buying mortgage points is worth it?
The primary framework is the break-even period: divide the upfront points cost by the monthly savings to find how many months of lower payments are needed to recover the cost. If you plan to hold the loan — without selling or refinancing — for longer than the break-even period, buying points is generally favorable on a simple cash-flow basis. If there is a realistic chance you will move or refinance before break-even, the points do not pay back. A 2-to-3-year break-even is strong for a long-term hold; a 7-plus-year break-even is risky for most buyers.
What is a typical rate reduction per discount point?
The industry convention is roughly 0.125 to 0.25 percentage points of rate reduction per point, but the actual reduction depends on the lender, loan type, prevailing rate environment, and your credit profile. Some lenders offer steeper buydowns; others offer smaller ones. The only reliable way to know the exact rate-per-point ratio is to request the Loan Estimate from a specific lender, which discloses both the no-points rate and the adjusted rate at each point level. This calculator accepts any rate pair — enter the rates exactly as quoted on your Loan Estimate.
About This Calculator
Sources:
- Consumer Financial Protection Bureau — What are discount points and lender credits and how do they work? — Definition of discount points, how one point equals 1% of the loan amount, and how the rate buydown mechanism works in practice
- Consumer Financial Protection Bureau — How does my loan payment get applied? — Standard amortization formula used to compute the monthly payment under both the no-points and with-points scenarios
Limitations:
- Assumes both loan scenarios use the same loan amount and term — changing the term alongside the rate would alter the payment comparison independently of the points
- Does not model the opportunity cost of the cash used to buy points — cash paid at closing has an implicit cost relative to investing or applying it to the down payment
- Break-even is computed on principal-and-interest savings only — property taxes, insurance, HOA, and PMI are the same under both scenarios and are excluded
- Assumes the loan is held to maturity or at least until after break-even — selling or refinancing before break-even forfeits the unrecovered portion of the upfront cost
- Does not model the tax treatment of mortgage points — discount points may be deductible in the year paid or amortized over the loan term depending on loan type and use; consult a tax professional
When to consult a professional: Before closing on a mortgage with discount points, particularly for jumbo loans, investment properties, or when the break-even period is close to your expected holding horizon
This calculator estimates the break-even point for purchasing mortgage discount points based on the rate reduction and loan inputs provided. It does not account for the opportunity cost of the upfront cash, the time value of money, changes in tax deductibility of mortgage interest, or prepayment penalties on any existing loan. Estimates are for educational and planning purposes only and do not constitute financial advice.