calculate-loan

01 Loan payments

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

Calculator No. 01-5439 · 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.

Refinancing costs depend on the new loan’s fees, any charges for ending the current loan, and whether costs are paid upfront or added to the balance. This calculator estimates the monthly payment and total interest for a new fixed-rate loan from its amount, APR, and term; it does not calculate refinance fees or a break-even date, so obtain those figures from the lender before comparing the full cost.

Formula

The calculator uses the standard fixed-payment loan formula. It first calculates a monthly payment from the principal, monthly interest rate, and number of monthly payments:

Payment = P × r ÷ [1 − (1 + r)−n]

  • P is the new loan amount, in dollars.
  • APR is the annual percentage rate entered as a percentage per year.
  • r is the monthly rate, calculated as APR ÷ 1,200. For an 8% APR, r = 8 ÷ 1,200.
  • n is the number of monthly payments, calculated as years × 12.

Total interest is calculated as the monthly payment multiplied by the number of payments, minus the original loan amount: Total interest = payment × n − P. The calculator uses the unrounded formula value internally, then displays money to two decimal places. Actual loan statements may apply their own rounding and payment conventions.

Worked Example

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

  1. Monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Number of payments: 5 × 12 = 60.
  3. Monthly payment: 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = approximately $405.53.
  4. Total interest: approximately $405.53 × 60 − $20,000 = $4,331.80, using the displayed payment rounded to cents.

The payment is a principal-and-interest estimate, not a complete monthly housing or debt cost. The calculator’s total-interest output uses its formula’s unrounded payment value, so it can differ slightly from multiplying the displayed, rounded payment by the number of months.

Assumptions

  • The interest rate is fixed for the entire loan term.
  • Payments are equal monthly payments, made at the end of each monthly period.
  • Interest compounds monthly at APR divided by 12.
  • Fees, taxes, insurance, mortgage insurance, escrow, and charges for paying off the existing loan are not included.
  • The entered loan amount is the new principal. Any fees rolled into the loan must be included in that amount to be reflected in the payment estimate.

What Does It Cost to Refinance?

There is no single refinance cost that applies to every loan. The amount depends on the transaction and the lender’s written fee estimates. A refinance can involve charges for evaluating the application, valuing property or collateral, preparing documents, recording the new loan, or paying off the current loan. Which items apply—and their amounts—must be confirmed from the specific lender and loan documents; this calculator does not provide or predict fees.

Separate one-time costs from ongoing borrowing costs. Upfront costs are paid at closing or otherwise due during the transaction. If fees are financed, they increase the amount borrowed and can also accrue interest. The calculator can reflect that effect only if you enter the larger, fee-inclusive loan amount. Do not count a fee twice by adding it to the loan amount and then subtracting it again as though it were paid separately.

How to Compare the Full Cost

A smaller monthly payment does not automatically mean a refinance costs less overall. It can result from a longer term, which may mean more months of interest. To make a meaningful comparison, gather the payoff amount for the current loan, its remaining term and payment details, the proposed new loan’s amount, APR and term, and itemized transaction costs. Ask the lender for the written figures rather than substituting assumed fees or rates.

A simple break-even estimate is possible when costs are paid separately and the monthly savings are positive:

Break-even months = upfront refinance costs ÷ monthly payment reduction

For example, if verified one-time costs were $3,000 and a comparison showed a $100 monthly reduction, the arithmetic gives 30 months. This is only a rough comparison: it does not account for differences in loan balances, term length, future changes, or the time value of money. If the payment does not fall, this simple method does not produce a useful break-even period. Compare expected costs over the period you actually plan to keep the loan, using consistent figures.

Common Comparison Mistakes

  • Comparing payments without comparing terms: A lower payment may simply spread repayment over more years.
  • Ignoring the new balance: Financed fees increase principal, so include them in the amount entered.
  • Using APR as a monthly rate: For this formula, convert the annual percentage to a monthly decimal by dividing by 1,200.
  • Mixing interest with all-in costs: The calculator’s total interest is not a total-cost figure; it excludes fees and other charges.
  • Assuming a payoff quote equals the current balance: The amount needed to settle a loan can differ from a balance shown on a routine statement. Get the current payoff figure from the loan servicer.

The calculator is useful for estimating the payment and interest on a proposed loan, but it cannot establish whether a refinance is financially beneficial for a particular person. That requires accurate figures for both loans, relevant costs, and the timeframe being considered.

Frequently Asked Questions

How much does it cost to refinance a loan?
It varies by loan and transaction. Request an itemized estimate from the lender, and check whether charges are due upfront, deducted from proceeds, or added to the new balance. This calculator does not estimate fees.

Does refinancing always lower the monthly payment?
No. The new payment depends on the loan amount, APR, and term. A longer term can reduce the monthly payment while increasing the number of payments and potentially the total interest.

Does this calculator include refinance closing costs?
No. It estimates principal-and-interest payment and interest for the inputs provided. To model financed costs approximately, include them in the loan amount; obtain the actual fee treatment from the lender.

How do I calculate a refinance break-even point?
Divide verified upfront costs by the monthly reduction in payments, if there is one. Treat the result as a rough estimate, since it does not account for loan-term differences, balances, or other costs.

Why is my lender’s payment different?
The lender may use different rounding, payment dates, loan balance, APR, term, or fee assumptions. Taxes, insurance, escrow, and other amounts may also appear in a quoted total payment but are not part of this calculator’s result.

The result is an estimate, and 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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