This refinance calculator estimates the monthly principal-and-interest payment and total interest on a replacement loan using the loan amount, APR, and term you enter. It does not calculate refinancing fees; add those separately to estimate how long monthly savings would take to recover them.
Formula
The standard fixed-payment loan formula calculates the monthly payment:
Payment = P × r ÷ [1 − (1 + r)−n]
- P is the new loan principal, 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.
- Payment is rounded to the nearest cent; total interest is rounded monthly payment × number of payments − principal.
This is a loan-payment calculator, not a complete refinance-cost estimator. It cannot determine lender charges, third-party charges, prepaid amounts, or whether a quoted loan amount includes those costs. Obtain actual figures from the lender and other relevant providers, then account for them separately.
Worked Example
Using the calculator’s defaults—$20,000 principal, 8% APR, and a five-year term:
- Convert APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
- Find the number of payments: 5 × 12 = 60.
- Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] ≈ $405.53 per month.
- Calculate total interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.
The results are a $405.53 monthly principal-and-interest payment and $4,331.80 total interest, assuming every scheduled payment is made.
Assumptions
- The interest rate stays fixed throughout the entered term.
- Payments are equal, monthly, and made at the end of each period.
- Interest compounds monthly at APR ÷ 12.
- Fees, taxes, insurance, private mortgage insurance, escrow, and prepaid costs are not included.
What Does It Cost to Refinance?
There is no single refinance cost that applies to every borrower or loan. The total depends on the transaction, property or collateral, loan type, location, and the services required. A refinance estimate may include lender charges, appraisal or valuation costs, title or settlement services, recording charges, and prepaid items. Which charges apply and their amounts must come from the actual transaction documents; this calculator does not supply market averages.
Separate one-time transaction expenses from amounts that are not necessarily fees. For example, an account deposit or prepaid insurance may be required at closing, but it serves a different purpose from a charge for a service. An existing escrow balance might also be handled separately. Ask for an itemized estimate and check which amounts are new costs, which are prepaid or deposited funds, and which may be credited or refunded. Do not treat the cash due at closing as automatically equal to the refinance’s economic cost.
How to Estimate the Cost and Break-Even Time
For a useful comparison, collect the proposed loan’s principal, APR, term, payment, and itemized charges, along with the current loan’s remaining balance, payment, and remaining term. Make sure the payment figures cover the same items: this calculator estimates principal and interest only, not a full housing payment that may include taxes, insurance, or other charges.
- Get a written, itemized estimate of refinance charges and identify any prepaid amounts or credits.
- Calculate the proposed payment using the new balance, rate, and term. Use the lender’s quoted payment to cross-check the estimate.
- Compare the old and new payments on the same basis. If the new payment is lower, divide the relevant one-time costs by the monthly reduction to estimate a simple break-even period.
For example, suppose itemized costs are $3,000 and the comparable monthly payment falls by $100. The simple calculation is $3,000 ÷ $100 = 30 months. This is only an illustration, not a quote or prediction. It ignores changes in total interest, the effect of extending the repayment period, changing balances, and the time value of money. If the payment does not fall, this simple break-even calculation does not apply.
Why the Monthly Payment Can Mislead
A lower monthly payment does not by itself mean the refinance costs less overall. A longer term can reduce each payment while increasing the number of payments and potentially the total interest paid. To compare loans, examine the remaining repayment period and total projected payments as well as the monthly amount. Avoid comparing total interest on a new loan with interest already paid on the old loan; focus on future costs from the date of refinancing.
The calculator also assumes the entire entered principal is borrowed at the stated APR. If charges are added to the new balance, enter the resulting proposed principal to see how that changes the estimated payment and interest. That calculation does not reveal whether financing those amounts is available or how they are classified. Get those details from the lender’s written disclosure.
Limits and Common Mistakes
- Mixing up APR and interest rate: Enter the APR requested by the calculator, not a monthly rate or an unlabeled percentage. APR conventions and quoted loan details can differ, so compare the lender’s figures on the same basis.
- Leaving fees out of the new balance: The calculator cannot add charges automatically. If they are financed, include them in the principal input; if paid separately, track them separately for a break-even estimate.
- Comparing unequal payment scopes: A principal-and-interest payment is not the same as a payment that includes escrow, taxes, or insurance.
- Ignoring rounding: The calculator rounds the monthly payment to cents and uses that rounded amount for total interest. A lender’s schedule may differ slightly because of its exact accrual and rounding methods.
The formula is for a fixed-rate loan with equal monthly payments. It does not model variable rates, irregular payment dates, extra payments, skipped payments, changing fees, or a detailed closing statement. Check the lender’s disclosures for transaction-specific amounts and schedules.
Frequently Asked Questions
What costs are included in a refinance estimate?
Potential charges can include lender and third-party services, along with prepaid items or deposits. The items and amounts depend on the specific transaction. Request an itemized estimate rather than relying on a generic figure.
Does refinancing cost calculator include closing costs?
No. This calculator estimates payment and interest from principal, APR, and term. It has no fee input, so enter a proposed balance that includes financed charges if applicable, and separately track costs paid outside the loan.
How do I calculate refinance break-even time?
Divide relevant one-time costs by the monthly reduction in comparable payments. The result is a simple estimate in months and does not account for term changes, total interest, or other costs.
Can a refinance lower my payment but cost more overall?
Yes. A longer term can lower the monthly payment while increasing the number of payments and potentially the total interest. Compare the proposed term and future total payments, not just the monthly amount.
Where do I find the exact refinance costs?
Ask the lender for its written, itemized estimate and review the transaction disclosures for the figures that apply to the proposed loan. This calculator’s 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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