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01 Loan payments

Refinance Closing Costs Calculator and Break-Even Point

Calculator No. 01-1112 · Updated · Formula and assumptions shown below

The calculator on this page is switched off while it is checked. The formula is below, and the worked example shows how to do the sum by hand.

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.

This refinance closing costs calculator estimates the monthly payment and total interest on a replacement loan, then shows how long it takes monthly savings to offset the costs you enter. Enter the new loan amount, APR, term, and estimated closing costs to see the calculation; the result is a simplified comparison, not a lender quote.

Formula

The calculator uses the standard fixed-rate monthly payment formula, then divides estimated refinance costs by the difference between the old and new monthly principal-and-interest payments:

  • Monthly rate: r = APR / 1,200, where APR is entered as a percentage per year.
  • Number of payments: n = 12 × term in years.
  • New monthly payment: M = P × r / [1 − (1 + r)−n].
  • Monthly payment difference: S = O − M.
  • Simple break-even time: B = C / S.
  • New-loan total interest: I = M × n − P.

P is the new loan amount in dollars; APR is the new loan’s annual percentage rate; r is its monthly rate; n is the number of monthly payments; M is the new monthly principal-and-interest payment in dollars; O is the current monthly principal-and-interest payment in dollars; S is the monthly payment difference in dollars; C is estimated closing costs in dollars; B is break-even time in months; and I is estimated interest paid over the full new term in dollars. The calculator assumes a positive payment difference for its break-even result; if the new payment is equal to or higher than the old one, that calculation cannot provide a positive break-even time.

Worked Example

Using the defaults in the calculator: a $250,000 loan, 6.5% APR, a 30-year term, $5,000 in estimated costs, and a current monthly principal-and-interest payment of $1,800:

  1. Convert the APR to a monthly rate: 6.5 / 1,200 = 0.0054167.
  2. Find the payment count: 30 × 12 = 360 months.
  3. Calculate the new payment: $250,000 × 0.0054167 / [1 − (1 + 0.0054167)−360] = $1,580.17 per month, rounded to cents.
  4. Calculate the monthly difference: $1,800 − $1,580.17 = $219.83.
  5. Divide the costs by the monthly difference: $5,000 / $219.83 = 22.7 months, or about 22.7 months before cumulative payment differences equal the entered costs.
  6. Estimate total interest on the new loan: $1,580.17 × 360 − $250,000 = $318,861.20.

Assumptions

  • The new loan has a fixed APR and equal monthly payments.
  • Payments are made monthly; the first payment is one month after the loan begins.
  • Interest is modeled monthly at APR / 12.
  • Closing costs are treated as an upfront amount, even if they are financed in practice.
  • The calculation excludes taxes, insurance, mortgage insurance, escrow, prepayment charges, changing balances on the old loan, and the time value of money.

What Refinance Closing Costs Include

Refinance closing costs are charges associated with replacing an existing mortgage with a new one. Depending on the loan and transaction, a lender’s estimate may include an application or origination charge, appraisal, credit report, title services, recording charges, prepaid interest, and initial escrow deposits. The exact items and amounts vary; request a written estimate and identify which figures are lender charges, third-party services, prepaid expenses, or deposits.

Do not assume every amount listed is a fee that disappears. Escrow funding and prepaid taxes or insurance may be money set aside for future bills, while some transaction charges pay for services. A payoff statement may also include interest accrued through the payoff date. The calculator treats the cost input as one total and does not classify or verify its components.

How to Read the Break-Even Result

The simple break-even result answers a narrow question: how many months of the modeled payment difference would equal the closing-cost amount entered? It is not the month when a refinance automatically becomes beneficial overall. It ignores how much principal each loan repays, the remaining term on the existing mortgage, future plans, and other costs or savings.

For example, a lower monthly payment can result from extending repayment over a longer term. That may reduce the monthly bill while increasing the number of payments and potentially the total interest paid. Conversely, comparing total interest alone does not account for closing costs or how long the borrower keeps the loan. For a useful comparison, gather the current loan balance, remaining term, current payment, proposed loan terms, and a detailed estimate of transaction costs; then compare cash flows over the period being considered. This calculator does not model the existing loan’s remaining balance or its future interest.

Common Cost and Comparison Issues

  • Confusing “no-closing-cost” with no cost: costs may be covered through a higher loan balance or reflected in loan pricing. Check the written terms rather than relying on the label.
  • Counting escrow money as a permanent charge: deposits affect cash needed at closing, but they are distinct from service fees. Ask how existing escrow funds are handled in the transaction.
  • Comparing different loan amounts: a new balance may include financed costs or a different payoff amount. Use the proposed principal, not automatically the old loan’s original amount.
  • Comparing only monthly payments: payment amount depends on both rate and term. Review the term and projected balance as well as the monthly figure.
  • Using an incomplete cost estimate: excluded charges can make the break-even period appear shorter than it would be. Use the full written estimate available to you and update the calculator when figures change.

When This Estimate Is Limited

This is a basic arithmetic tool, not a personalized financial recommendation or an approval estimate. It assumes the entered APR and term apply for the entire new loan and that the current payment supplied is principal and interest only. If the old payment includes escrow, mortgage insurance, or other charges, comparing it directly with the new principal-and-interest payment is not like-for-like.

The formula also treats savings as constant and costs as paid at the start. It does not account for a changing interest rate, extra payments, tax treatment, investment returns, or the possibility that a borrower sells or refinances before the calculated point. Fees, rates, and eligibility depend on individual loan terms; obtain actual figures and disclosures from the lender.

Frequently Asked Questions

What are refinance closing costs?
They are transaction charges and prepaid amounts associated with replacing an existing mortgage. The items and totals vary by loan; review the written estimate to see what each charge represents.

How do I calculate refinance break-even?
Divide estimated closing costs by the monthly reduction in comparable principal-and-interest payments. This simple method works only when the new payment is lower and does not capture every financial effect.

Does a lower refinance payment mean I will pay less overall?
Not necessarily. A longer repayment term can lower the monthly payment while adding payment months and potentially increasing total interest. Compare the proposed term and loan balance, not just the payment.

Are no-closing-cost refinances actually free?
Not necessarily. Costs can be covered in ways that affect the loan balance or pricing. Check the loan estimate and other written disclosures for the amounts and terms.

Should I include escrow deposits in closing costs?
Include them in a cash-needed-at-closing estimate, but distinguish them from service fees. This calculator accepts a single cost total and does not separate deposits, prepaid expenses, or charges.

What if my new payment is higher than my current payment?
This calculator cannot produce a positive break-even period from monthly payment savings when the new payment is equal to or higher than the old one. Other comparisons may still require analysis of loan balance, term, and costs.

The result is an estimate; the lender’s disclosure gives the exact figures.

Related

Formula used
in p | New loan amount | $ | 250000 | 1 | 100000000
in apr | New loan interest rate (APR) | % | 6.5 | 0.01 | 100
in yrs | New loan term | years | 30 | 0.0833 | 50
in cost | Estimated refinance closing costs | $ | 5000 | 0 | 1000000
in old | Current monthly principal and interest payment | $ | 1800 | 0 | 1000000
out save | Monthly payment difference | $ | old - pmt | 2
out pmt | New monthly principal and interest payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2
out breakeven | Simple break-even time | months | cost / save + 0 * sqrt(save) | 1
out int | New-loan 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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