calculate-loan

01 Loan payments

Cost No Refinance Loan? Estimate the Payment Difference

Calculator No. 01-7867 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.80
= Monthly payment × loan term × 12 − new loan amount
New loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
New loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

A “no-cost” refinance usually means you pay little or nothing upfront, not that the refinance has no cost: fees are commonly paid through a higher loan balance or a higher interest rate. This calculator estimates the monthly payment and total interest on a replacement loan from its amount, APR, and term; compare its results with your current loan and get actual fees and terms from the lender.

Formula

The calculator uses the standard fixed-payment amortization formula. It first finds the monthly payment, then multiplies that payment by the number of monthly payments and subtracts the amount borrowed to estimate total interest:

  • Monthly payment: M = round[P × r / (1 − (1 + r)−n), 2]
  • Total interest: I = M × n − P

P is the new loan principal in dollars, APR is the annual percentage rate entered as a percentage, r is the monthly rate (APR ÷ 1,200), n is the number of monthly payments (term in years × 12), and M is the payment rounded to cents. This simplified estimate treats the APR as a nominal annual rate divided into monthly periods. It assumes the same payment and rate throughout the term.

Worked Example

Using the defaults—$20,000, an 8% APR, and a five-year term:

  1. Convert the APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Convert the term to payments: 5 × 12 = 60 months.
  3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 per month, rounded to cents.
  4. Calculate interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

Assumptions

  • The interest rate is fixed for the full term.
  • Payments are equal monthly payments, made at the end of each monthly period.
  • Interest compounds monthly at APR ÷ 12.
  • The estimate excludes fees, taxes, insurance, mortgage insurance, escrow, and any charges not included in the loan amount or APR. The calculator does not establish a lender’s actual APR or payoff amount.

What “No-Cost Refinance” Means

A refinance replaces an existing loan with a new one. A lender’s “no-cost” description generally refers to how upfront closing charges are handled, rather than an absence of charges. The phrase can describe different arrangements, so check the written loan estimate or equivalent disclosure to see exactly which costs are covered and how.

Two common arrangements are:

  • Costs added to the new balance: The borrower finances eligible charges. If a $200,000 refinance includes $4,000 in costs, the new balance could be $204,000. Interest is then calculated on the larger principal.
  • Costs offset through the rate: The lender may offer a credit toward charges in exchange for a higher rate than an option without that credit. The borrower may bring less cash to closing, but the payment and interest over time can be higher.

Some offers combine these approaches, and some costs may remain payable at closing. “No cash due at closing” is therefore not necessarily the same as “no fees,” and it does not mean that a refinance creates no added cost over the life of the loan.

How to Compare the Cost

For a meaningful comparison, use the same assumptions and account for both the existing loan and the proposed replacement. The calculator shows the new loan’s scheduled payment and interest over its full term; it does not calculate whether refinancing reduces your costs overall.

  • Get the proposed principal, APR, term, payment, and itemized charges in writing. Ask whether charges are paid upfront, financed, or offset through the rate.
  • Find the current loan’s payoff amount and remaining term. A payoff figure can differ from the balance shown on a statement.
  • Compare total payments over the period you expect to keep the loan, not only the new monthly payment. A longer term can reduce the monthly bill while extending the time interest accrues.
  • Include costs paid outside the loan balance. A simple break-even estimate is upfront costs divided by monthly payment savings, but it is only informative if the new payment is actually lower and both figures use comparable loan terms.

For example, a lower payment alone does not prove a refinance saves money. If a new loan restarts a long repayment period, total interest may increase even when the monthly payment falls. Conversely, adding costs to principal can raise the payment and interest compared with borrowing the same amount without those costs. Compare the remaining payment schedule of the current loan with the proposed schedule, and account for any planned early payoff or sale.

What the Calculator Leaves Out

This is a payment estimate, not a complete refinance-cost comparison. Its APR input and loan amount must reflect the figures you want to model. If fees are financed, include them in the loan amount; do not also treat those same financed fees as upfront cash costs in a separate comparison. If the lender gives a different APR because of credits or charges, enter the quoted APR rather than trying to infer it.

The formula does not model variable rates, irregular payment dates, daily interest, prepayment penalties, closing costs, escrow adjustments, or the exact payoff of another loan. It also assumes the loan is fully repaid through equal payments over the selected term. Rounding each payment to cents means the actual final payment can differ slightly from this simplified schedule.

Frequently Asked Questions

Does a no-cost refinance really cost nothing?
No. The phrase usually means eligible upfront costs are handled through financing or a lender credit, often associated with a different rate. Review the itemized charges and loan terms to see who pays each cost and when.

Are refinance closing costs added to the loan?
They may be, but not always. Depending on the offer, costs might be financed, offset by a credit, or due at closing. Confirm which charges are included in the principal and which are paid separately.

Does a no-cost refinance increase the interest rate?
A lender credit may be linked to a higher rate than an option with fewer or no credits, but terms vary. Compare the actual quoted APR, credits, and charges for the specific loan options rather than assuming a particular rate difference.

How do I calculate whether refinancing breaks even?
A rough calculation divides upfront costs by monthly payment savings. It does not account for changes in principal, loan term, total interest, or the timing of a sale or payoff, so it is not a full cost comparison.

Can this calculator tell me whether to refinance?
No. It estimates a payment and interest for the inputs provided. To assess total costs, compare the current loan’s remaining payments and payoff amount with the new loan’s written terms and charges.

This result is an estimate; 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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