A lender-paid closing-cost refinance does not make refinancing free: the lender covers some upfront charges in exchange for a higher interest rate, or adds costs to the loan balance. This calculator estimates a refinance payment and total interest from the new loan amount, APR, and term; enter those figures to see the monthly payment and interest over the full term.
Formula
The monthly payment is the fixed-payment loan formula, with the payment rounded to cents: PMT = round(P × r ÷ [1 − (1 + r)−n], 2). Total interest is calculated using that rounded payment: Interest = PMT × n − P.
- P is the new loan principal, in dollars. If closing costs are financed, include them in this amount.
- APR is the annual percentage rate entered as a percentage per year.
- r is the monthly rate, calculated as APR ÷ 1,200.
- n is the number of monthly payments: term in years × 12.
- PMT is the estimated monthly principal-and-interest payment, in dollars.
The calculator treats the entered APR as the rate used for monthly amortization. A disclosed APR may account for certain finance charges differently from the note rate, so a lender’s payment quote can differ. Obtain the actual rate and loan terms from the lender’s written disclosures.
Worked Example
Using the calculator’s defaults—$20,000 principal, 8% APR, and a five-year term:
- Monthly rate: 8 ÷ 1,200 = 0.0066667.
- Number of payments: 5 × 12 = 60.
- Payment before rounding: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] ≈ $405.53.
- Monthly payment rounded to cents: $405.53.
- Total paid using the rounded payment: $405.53 × 60 = $24,331.80.
- Total interest: $24,331.80 − $20,000 = $4,331.80.
Assumptions
- The rate stays fixed for the entire term.
- Payments are monthly, with the first payment one month after the loan begins.
- Interest is compounded monthly using APR ÷ 12.
- The calculation excludes closing charges, taxes, insurance, mortgage insurance, escrow, and any fees not represented in the loan amount or rate.
What “Lender-Paid” Closing Costs Means
Refinancing replaces an existing mortgage with a new one. The transaction can involve charges for services such as appraisal, title work, credit or underwriting review, recording, and loan processing. Which charges apply and who pays them vary with the transaction and lender.
In a lender-paid arrangement, the lender applies a credit toward eligible closing charges. That credit is commonly associated with a higher rate than an otherwise comparable option where the borrower pays more costs upfront. It is a pricing trade-off, not a donation: the lender’s expected compensation is reflected in the loan terms. “No closing costs” is therefore not the same as “no costs.”
Some offers instead allow charges to be rolled into the new principal. That can reduce cash needed at closing, but it increases the amount borrowed and may increase interest over time. Ask which charges are covered by a lender credit, which remain due, and whether any are being added to the balance.
How to Compare the Options
Compare written estimates for the same loan amount, term, and rate-lock period where possible. A lower upfront amount can come with a higher rate, while paying charges at closing can produce a lower rate. The right comparison depends on how long the loan is expected to remain in place and the total costs over that period; this calculator alone does not decide which structure suits a borrower.
- Record the rate, payment, loan amount, term, and lender credit for each offer.
- Separate one-time charges from prepaid items, such as interest or escrow funding, which may not be lender fees.
- Calculate the monthly payment difference between offers with matching terms.
- Divide the extra upfront cost of one option by the monthly savings it produces to estimate a simple break-even period. This rough calculation does not account for time value of money, tax considerations, or changes in loan balance.
- Consider the expected time in the home and whether the loan may be paid off or refinanced sooner. Avoid treating a break-even estimate as a guarantee.
For example, if paying costs upfront means paying $2,000 more at closing but the payment is $50 lower each month, the simple break-even is 40 months ($2,000 ÷ $50). If the loan ends earlier, the monthly savings would not add up to that initial difference. This illustration is arithmetic only, not a recommendation.
Common Misunderstandings and Limits
A lender credit may not cover every expense. A quote can still require cash for charges outside the credit, prepaid items, or other transaction costs. Likewise, a refinance can change the repayment timeline: lowering a payment by extending the term may mean paying interest for more months, even if the monthly amount falls.
The calculator estimates principal and interest only. It does not calculate the payoff balance on the old mortgage, cash due at closing, escrow adjustments, prepaid interest, lender credits, mortgage insurance, or total costs across both the old and new loans. It also assumes a fixed rate and regular monthly payments. For an adjustable rate, unusual payment schedule, or exact closing figures, use the lender’s documents and ask for an itemized explanation.
Frequently Asked Questions
Are lender-paid closing costs really free?
No. The lender credit offsets specified charges, but it is generally tied to the loan’s pricing, such as a higher interest rate. Other costs may remain due or be included in the balance.
Does a no-closing-cost refinance increase the loan balance?
It can, if costs are financed. In a lender-credit structure, costs may instead be offset by the credit, with the trade-off reflected in the rate. Ask for a breakdown showing the credit, charges, and final principal.
How do I calculate the break-even point?
Divide the extra upfront cost of one option by its monthly payment savings compared with the other option. The result is an approximate number of months; it does not account for all costs or changing circumstances.
Can I pay some refinance costs myself and have the lender pay others?
Depending on the offer, a lender credit may cover only part of eligible charges, leaving other expenses for the borrower. Request an itemized estimate rather than assuming every charge is covered.
Why is my lender’s payment different from this estimate?
The calculator omits many transaction details and assumes a fixed rate, monthly payments, and no added charges beyond the principal entered. The lender’s quote may also use different loan terms, a different rate, financed costs, or escrow and insurance amounts.
This result is an estimate, and the lender’s disclosure gives the exact figures.
Related
Formula used
in p | New loan amount | $ | 20000 | 1 | 100000000 in apr | Interest rate (APR) | % | 8 | 0.01 | 100 in yrs | Loan term | years | 5 | 0.0833 | 50 out pmt | Monthly payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2 out int | Total interest | $ | pmt * yrs * 12 - p | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.
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