A refinance with a closing cost waiver usually means the lender covers certain closing costs in exchange for a higher interest rate, or adds eligible costs to the new loan balance. This calculator estimates a fixed-rate loan’s monthly payment and total interest from the amount refinanced, APR, and term; it does not model a waiver’s price or decide whether refinancing saves money.
Formula
The calculator uses the standard fixed-rate amortizing-loan payment formula. It first converts the annual percentage rate to a monthly rate, then calculates the payment that repays the principal and interest over the selected number of monthly payments.
- Monthly payment: M = round[P × r ÷ (1 − (1 + r)−n), 2].
- Total interest: I = M × n − P.
- Monthly rate: r = APR ÷ 1,200, where APR is entered as a percentage per year.
- Number of payments: n = years × 12.
- Principal: P is the loan amount in dollars. M and I are also dollars.
The payment is rounded to the nearest cent before total interest is calculated. This is a simplified comparison of loan arithmetic: a lender’s actual schedule can differ because of payment dates, rounding conventions, loan fees, or other charges.
Worked Example
Using the calculator’s defaults—$20,000 principal, 8% APR, and a five-year term:
- Convert APR to a monthly rate: r = 8 ÷ 1,200 = 0.0066667.
- Convert the term to payments: n = 5 × 12 = 60.
- Apply the payment formula: M = round[20,000 × 0.0066667 ÷ (1 − (1.0066667)−60), 2] = $405.53 per month.
- Calculate total interest using the rounded payment: I = $405.53 × 60 − $20,000 = $4,331.80.
The figures describe this hypothetical loan, not a refinance offer. To evaluate a waiver, the amount financed and APR need to reflect the lender’s actual written terms.
Assumptions
- The loan has a fixed APR and level monthly payments for the entire term.
- Payments are made monthly; the calculation treats them as scheduled at regular intervals.
- Interest compounds monthly at APR divided by 12.
- Closing costs, points, taxes, insurance, mortgage insurance, escrow, and any lender credits are not included unless represented in the principal or APR supplied by the user.
- The calculation does not model a changing rate, missed payments, extra payments, or a payoff before the final scheduled payment.
What a Closing Cost Waiver Usually Means
“No-closing-cost refinance” is a marketing label, not a promise that every expense disappears. A lender may pay or credit selected lender charges, but the economic cost can show up elsewhere. One common arrangement exchanges a lender credit for a higher rate. Another adds eligible costs to the new balance, so the borrower pays interest on them over time. Some charges may remain payable at closing, depending on the transaction and the lender’s terms.
Ask for an itemized written estimate that separates charges paid by the lender from charges you must pay, and shows the proposed loan amount, rate, payment, and any credit. The word “waived” alone does not reveal which costs are covered or whether the cost is being recovered through pricing.
How to Compare the Options
Compare the waiver offer with a refinance where you pay costs upfront, using the same loan amount assumptions and the same comparison period. Include the existing loan’s payoff amount and any costs added to the replacement balance; otherwise, a lower payment may simply reflect borrowing more or extending repayment.
- Record the quoted APR, monthly principal-and-interest payment, term, and amount financed for each option.
- Identify lender-paid credits and costs still due from you. Check whether any prepaid items or escrow funding are included; these may affect cash due but are not necessarily lender fees.
- Calculate cumulative payments over the period you expect to keep the loan, then account for the remaining balance at that point. A lower payment alone does not show lower overall cost.
- For a rough break-even estimate, divide upfront costs by the monthly payment reduction. This simple calculation ignores interest differences, balance changes, and the time value of money, so it is not a full comparison.
For example, suppose one hypothetical offer has $3,000 in costs paid upfront, while another has no such upfront payment but charges $60 more each month. Dividing $3,000 by $60 gives 50 months as a simple payment-difference break-even point. It is only an illustration: if the rates, balances, or remaining loan amounts differ, a full cash-flow comparison is needed.
Common Misunderstandings and Limits
A waived charge is not necessarily a free charge. A credit can be funded through loan pricing, while rolled-in costs increase principal. Conversely, a lower monthly payment does not by itself prove savings: extending the term can reduce each payment while increasing the number of payments and possibly the total interest.
This calculator intentionally handles only one fixed-rate loan. It cannot calculate a refinance break-even point by itself because it does not ask for the current loan’s payment, balance, rate, remaining term, costs, or how long the new loan will be kept. It also does not determine which expenses a lender will waive or include, or account for lender-specific disclosures. Obtain actual figures from the lender and compare like with like. This result is an estimate; the lender’s disclosure gives the exact figures.
Frequently Asked Questions
Can I refinance with no closing costs?
Some offers reduce or remove certain costs due at closing, but costs may be offset by a higher rate or added to the new balance. Check the itemized offer to see exactly what is covered and how it is funded.
Does a closing cost waiver mean the refinance is free?
No. “Waiver” can describe a lender credit or a different way of financing expenses. Compare the total loan terms and any cash due rather than relying on the label.
Are closing costs added to the refinance loan?
They can be, if the lender’s terms and the transaction allow it. Adding costs increases the amount borrowed and can increase interest paid; confirm the proposed principal on the written estimate.
How do I calculate a refinance break-even point?
A rough method divides upfront refinance costs by monthly savings. The result is an approximate number of months, not a complete cost comparison; account for loan balances, interest, term, and how long the loan may remain in place.
Does this calculator include closing costs?
No. It calculates the payment and total interest for the principal, APR, and term entered. Add financed costs to the principal only if that matches the lender’s quoted loan amount; other fees and credits are not modeled.
Related
Formula used
in p | 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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