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01 Loan payments

Cost to Refinance a Loan: Calculate the Break-Even Point

Calculator No. 01-5436 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.67
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), 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.

The cost to refinance a loan depends on the new loan’s fees and any charges added to its balance; there is no single figure that applies to every borrower. This calculator estimates a monthly payment and total interest for a loan amount, APR, and term, but it does not calculate refinance fees or determine whether refinancing saves money.

Formula

The monthly payment is the loan principal multiplied by the monthly interest rate, divided by one minus the balance-growth factor over the full payment term:

Payment = P × r ÷ [1 − (1 + r)−n]

  • P is the amount borrowed, in dollars.
  • r is the monthly interest rate, calculated as APR ÷ 1,200 when APR is entered as a percentage per year.
  • n is the number of monthly payments, calculated as years × 12.

Total interest is estimated as the monthly payment multiplied by the number of payments, minus the original principal: Total interest = payment × n − P. The calculator displays results to cents, but its payment expression is not rounded before the total-interest expression uses it. Real loan schedules may round each payment and interest charge, so a lender’s figures can differ slightly.

Worked Example

Using the calculator’s default inputs: a $20,000 principal, 8% annual APR, and a five-year term:

  1. Convert APR to a monthly rate: r = 8 ÷ 1,200 = 0.0066667.
  2. Convert the term to monthly payments: n = 5 × 12 = 60.
  3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] ≈ $405.53.
  4. Estimate total interest using the unrounded payment: approximately $4,331.80.

The displayed monthly payment is $405.53. Total interest is shown to two decimal places; because the calculator uses the formula’s unrounded payment internally, multiplying the displayed cents by 60 may produce a small difference.

Assumptions

  • The APR stays 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 calculation does not include refinancing fees, taxes, insurance, PMI, escrow, late charges, or other costs.

What Refinancing Costs Can Include

Refinancing replaces an existing loan with a new one. Its cost can include lender charges, third-party services, government charges, or early-payoff costs, depending on the loan and transaction. A quote or written loan estimate should identify applicable charges and explain which are paid upfront and which are financed.

Possible costs vary by loan type. A mortgage refinance may involve valuation, title, recording, or closing services. An auto or personal-loan refinance may have a different fee structure, while a student-loan refinance can have terms and consequences specific to the existing debt. Do not assume that every listed charge applies, or that the same names mean the same thing across loan products.

  • Upfront costs: amounts paid from cash at closing or when the new loan is arranged.
  • Financed costs: charges added to the new principal. These raise the amount borrowed and can also accrue interest.
  • Payoff-related costs: the old lender’s payoff amount may include accrued interest or other contract-specific amounts. Request a payoff statement rather than relying only on the balance shown on an account screen.

How to Assess the Cost

First collect comparable figures for the existing loan and the proposed replacement: current payoff amount, remaining term, new principal, APR, term, payment, and itemized fees. Ask the lender to clarify whether quoted costs are estimates, whether any are optional, and whether they will be paid in cash or added to the balance. Use the actual offer documents rather than a generic fee estimate.

A simple break-even calculation can put upfront costs in context when the new loan reduces the monthly payment. Divide the costs paid upfront by the estimated monthly payment reduction. For example, if fees were $1,200 and the payment reduction were $50, the simple break-even period would be 24 months. This is only a rough comparison: it ignores the remaining balance, the length of both loans, financed fees, and differences in total interest. A lower monthly payment alone does not establish that the new loan costs less overall.

Compare total dollars over the period you expect to keep the loan, not just the advertised payment. Extending the term can lower the monthly payment while increasing the number of months interest accrues. A shorter term can produce a higher payment even when the overall interest total is lower. The calculator here models one fixed-rate loan at a time; enter the proposed loan’s amount, APR, and term to estimate its payment and interest, then compare those results with the existing loan’s remaining schedule.

Common Comparison Mistakes

  • Comparing payment amounts without comparing terms: a smaller payment may reflect a longer repayment period rather than a lower overall cost.
  • Ignoring fees added to principal: financed charges increase the balance and can generate additional interest.
  • Using the original loan amount: a refinance generally concerns the current payoff amount, not necessarily the amount first borrowed.
  • Treating APR and interest rate as interchangeable in every quote: APR may reflect some borrowing costs, but its calculation and included charges can vary. Check the lender’s explanation and itemization.
  • Assuming a break-even month guarantees savings: the estimate depends on how long the loan remains in place and omits costs or balance changes not included in the calculation.

Using the Calculator and Its Limits

Enter the proposed loan principal, the offered APR as a percentage (for example, enter 8 for 8%), and the term in years. The calculator returns an estimated level monthly payment and total interest over that term. It does not estimate the fee total, current-loan payoff, cash due at closing, taxes, or savings from refinancing. To evaluate those, obtain the relevant figures from the lender and compare schedules on a consistent basis.

The formula assumes a fixed APR and regular monthly payments. It is not suitable for a variable-rate loan whose rate changes, irregular payment schedules, interest-only periods, balloon payments, or loans with unusual fee and payment structures. It also does not model credit approval, changes to loan terms, or consequences that may apply to a particular type of debt. Rates, fees, and terms are inputs: use figures from the actual lender disclosure rather than treating the example defaults as market estimates.

Frequently Asked Questions

How much does it cost to refinance a loan?
It depends on the loan, lender, transaction, and charges that apply. Request an itemized quote and identify what is paid upfront versus added to the new balance.

Does refinancing always have closing costs?
No single fee structure applies to every refinance. Some transactions may have upfront charges, financed charges, or both; ask for a written breakdown of the specific offer.

Can I refinance with no upfront cost?
A lender may offer a structure that does not require costs to be paid upfront, but that does not establish that the charges disappear. Ask whether costs are financed or reflected elsewhere in the offer.

How do I calculate a refinance break-even point?
For a basic estimate, divide upfront refinance costs by the monthly payment reduction. The result is a number of months, but it does not account for loan-term differences, financed fees, or changing balances.

Does a lower monthly payment mean refinancing saves money?
Not necessarily. A longer term can reduce the payment while increasing total interest, and fees can add to the cost. Compare the remaining cost of the existing loan with the proposed loan over the same relevant period.

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

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 | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 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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