Mortgage APR With Points & Break-Even Calculator
Compare a fixed-rate mortgage that charges discount points with a same-size, same-term zero-point alternative. Estimate equal-period APR, separate the point dollars from the note rate, and test whether the expected holding period lasts beyond the cost-recovery point.
+ FINANCE CHARGES
= APR VIEW
Enter two fixed-rate offers
Offer A: pay points
Offer B: zero points
Enter zero-point offer charges classified the same way as Offer A. Taxes, insurance, escrows, and truly common costs generally do not create an offer difference.
Four numbers that should not be collapsed into one
A lower note rate can have a higher upfront price. APR expresses covered borrowing charges over the assumed full transaction term; break-even asks whether a particular borrower expects to keep the debt long enough to recover that price. The questions are related but not interchangeable. A 30-year APR comparison assumes the disclosed payment stream, while a five-year ownership plan deliberately stops the analysis much earlier.
How the estimated APR is solved
The calculator first computes the level monthly principal-and-interest payment from the full loan amount and note rate. It then subtracts entered point dollars and entered prepaid finance charges from the loan amount to create a simplified amount financed. A numerical search finds the monthly rate whose present value of all scheduled payments equals that amount financed. Multiplying the monthly rate by 12 produces the displayed nominal annual percentage rate.
This equal-month method follows the central actuarial idea but is not a creditor-grade Regulation Z engine. Actual consummation and first-payment dates can create odd periods. Some charges are included, excluded, or treated differently under federal rules. Mortgage insurance, construction advances, buydowns, adjustable rates, irregular payments, refunds, and other features need transaction-specific treatment. The Loan Estimate and Closing Disclosure remain the official place to compare the creditor’s APR.
Worked $400,000 comparison
Offer A is a 30-year fixed loan at 6.25% with one point and $1,500 of other entered prepaid finance charges. One point costs $4,000, so its simplified amount financed is $394,500. The scheduled principal-and-interest payment is about $2,462.87, and the equal-period estimated APR is about 6.382%.
Offer B has the same $400,000 amount and 30-year term at 6.5%, no points, and the same $1,500 of other entered prepaid finance charges. Its payment is about $2,528.27 and its estimated APR is about 6.536%. Because the non-point charges match, Offer A requires $4,000 more upfront and reduces the monthly payment by about $65.40.
Dividing $4,000 by $65.40 gives a simple payment-savings break-even slightly above 61 months, displayed as 62 whole months. Amortization tells a fuller story. Offer A accrues less interest and leaves a balance about $1,094.94 lower after five years. Its cumulative interest savings recovers the $4,000 extra upfront cost around month 48. By month 60, modeled interest saved minus extra upfront cost is about $1,019. That is a financing-cost comparison, not a guarantee that cash paid for points was the best use of funds.
Cash, equity, and opportunity cost
Cash at closing
Points consume liquid funds at closing. Preserve enough cash for the down payment, reserves, repairs, moving, taxes, insurance, and emergencies. A positive long-horizon result does not make a cash-tight closing safe.
Principal timing
Monthly payment savings is not identical to interest savings because the two loans amortize differently. The result therefore compares cumulative interest and shows both remaining balances at the selected horizon.
Alternative return
Dollars used for points cannot simultaneously remain in savings, retire higher-rate debt, or be invested. This calculator does not discount future savings or assign an investment return, inflation rate, or tax value.
Exit uncertainty
A sale, refinance, payoff, transfer, or major curtailment can end the original payment stream. Test a short, likely, and long holding period instead of using the mortgage term as a personal forecast.
Classify charges before entering them
“Points” on a lender worksheet can be used loosely. For this calculator, discount points mean an upfront percentage of the loan amount paid for the specific lower-rate offer. CFPB guidance notes that points on the Loan Estimate and Closing Disclosure appear in Origination Charges and must be connected to a discounted rate. Origination fees merely expressed as a percentage should not be called discount points unless the disclosure treats them that way.
APR finance-charge classification is a legal disclosure question. Fees for lender work, brokers, required services, mortgage insurance, or prepaid interest may affect the official calculation, while other real-estate charges may not. Enter only charges confirmed as prepaid finance charges for the educational APR estimate. For the offer break-even, include every genuine incremental cost between the alternatives, even if a disclosure classification is different. If Offer B also has higher or lower fees, the calculator nets those against Offer A.
A disciplined Loan Estimate comparison
Request Loan Estimates for the same loan amount and kind of loan, preferably on the same day and with comparable lock periods. Compare page 1 loan terms and principal-and-interest payment; page 2 points, origination charges, services, lender credits, and cash to close; and page 3 APR plus the “In 5 years” comparison. Different taxes, insurance, prepaid interest dates, and escrow funding can make cash-to-close totals look different without representing lender price.
Confirm whether the rate is locked, how long it is locked, whether a float-down exists, and what an extension costs. Ask the lender to issue both point and zero-point options in writing. Do not infer the zero-point rate by subtracting a rule-of-thumb number of basis points: rate-sheet pricing changes with loan type, amount, property, credit, occupancy, term, market, and day.
For broader U.S. It does not determine whether mortgage points are deductible, and tax treatment is intentionally excluded here.
Turn the result into a decision range
Run at least three holding periods: the earliest plausible sale or refinance, the household’s best estimate, and a long-stay case. Record the result beside the emergency savings remaining after closing. If points recover only in the long case, the decision depends heavily on an uncertain future. If they recover in the short case but consume funds needed for repairs or income shocks, the mathematical advantage may still be impractical. Also request a lender-credit offer: it can reveal the cost of preserving cash, even when that higher-rate choice is not ultimately selected.
Finally, compare the calculator’s estimated APR with page 3 of each Loan Estimate. A material difference is a prompt to check dates, mortgage insurance, prepaid interest, and which fees were entered—not a reason to overwrite the official figure. Keep the dated estimates so the offers can be matched to the same pricing window and rate-lock assumptions.
Frequently asked questions
Does one point always lower the rate by 0.25 percentage point?
No. One point always describes cost equal to one percent of the loan amount, but the rate reduction is set by the lender’s current pricing for that transaction. Compare actual written offers.
Why is estimated APR higher than the note rate?
The simplified amount financed is smaller than the loan amount after entered prepaid finance charges, while scheduled payments are still based on the full loan. That raises the annualized cost measure.
Why are there two break-even months?
The simple month divides incremental cost by monthly payment savings. The interest-cost month follows amortization and asks when cumulative interest saved reaches incremental cost. Principal timing makes the answers different.
Should seller-paid points be entered?
Use the official disclosure and professional guidance. Who pays a charge can affect the borrower’s cash comparison and may affect disclosure or tax analysis. The calculator assumes entered point dollars are an incremental cost to the borrower.
Can this compare an ARM with a fixed-rate loan?
No. An ARM’s future rate and payment path is uncertain, and its disclosed APR does not show the maximum possible rate. This model assumes two level-payment fixed-rate loans with equal amounts and terms.
Calculation limitation: Educational fixed-rate, equal-month estimate only. It does not reproduce a creditor’s Regulation Z disclosure, determine finance-charge classification, model odd days or irregular payments, value taxes or investments, quote a loan, or recommend paying points.