A refinance calculator estimates the new loan’s monthly principal-and-interest payment from the amount refinanced, annual APR, and term; it does not determine when your first payment is due. The timing depends on the new loan’s closing and payment schedule, so check the date in your closing documents or ask the servicer.
Formula
This calculator estimates a fixed-rate loan’s level monthly payment using the standard amortization formula:
Payment = P × r ÷ [1 − (1 + r)−n]
- P is the new loan amount, in dollars.
- r is the monthly interest rate, calculated as APR ÷ 1,200. APR is entered as a percentage per year.
- n is the number of monthly payments, calculated as loan term in years × 12.
The total-interest estimate is the rounded monthly payment multiplied by the number of payments, minus the starting principal: total interest = payment × n − P. The payment is rounded to cents, and this estimate assumes that same rounded payment is made each month. Actual payoff figures can differ because of payment dates, rounding, fees, and loan terms.
Worked Example
Using the calculator’s defaults—$20,000 principal, 8% APR, and a 5-year term:
- Monthly rate: 8 ÷ 1,200 = 0.0066667.
- Number of payments: 5 × 12 = 60.
- Substitute into the formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60].
- Monthly payment, rounded to cents: $405.53.
- Total 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 divided by 12.
- The calculation excludes closing costs, other fees, taxes, insurance, mortgage insurance, escrow, and any old-loan payoff costs.
When Is the First Refinance Payment Due?
There is no universal “first month” date that applies to every refinance. A refinance typically pays off an existing loan and creates a new loan, but the new loan’s first due date is set by its documents and servicing schedule. The date may fall after the refinance closes rather than immediately on the next calendar date. A gap before the first scheduled payment does not automatically mean that the gap is free: interest may accrue under the new loan during that period.
For a mortgage refinance, closing disclosures and the promissory note or other loan documents are the relevant sources for the due date, payment amount, and any prepaid interest collected at closing. For an auto, student, or personal-loan refinance, review the new agreement and the servicer’s payment instructions. Do not assume the old loan’s payment date carries over to the new loan.
How the Transition Between Loans Works
During a refinance, the new lender or loan servicer generally coordinates payment of the old loan, but the borrower should verify that the old balance was paid and that the new account is set up correctly. Until confirmation is available, keep track of both accounts and follow the instructions in the closing documents. A payment scheduled to the old servicer may not automatically be transferred to the new loan.
- Confirm the new loan’s first payment due date and how to make that payment.
- Check whether the old loan has been paid off and whether any final amount remains due.
- Review any payment already scheduled on the old account; contact the relevant servicer if you are unsure whether it should proceed.
- Check the new account for the principal balance, interest rate, term, and payment amount shown in the agreement.
- Ask how the servicer handles a payment that arrives before the account is fully established.
These are account-administration checks, not a substitute for the loan’s written terms. If the displayed due date or balance conflicts with the documents, ask the servicer for a written explanation.
What Can Change the First Payment?
The calculator estimates principal and interest only. The amount actually billed can also include items such as taxes, insurance, mortgage insurance, escrow deposits, or fees if they apply to that loan. The new loan amount may also differ from the amount you expected if eligible costs are financed or the payoff balance changes before closing. Use the final loan amount and APR from the lender’s disclosure to estimate the principal-and-interest portion; use the disclosure and billing statement for the complete amount due.
Interest accrued between closing and the first scheduled payment may be handled separately or reflected in the amounts collected or financed, depending on the contract and transaction. This calculator does not calculate prepaid interest or determine a due date. It also assumes a fixed APR; it cannot represent a variable rate that changes during the term.
Common Timing Mistakes
- Assuming a skipped payment is savings: A later first due date may mean more time for interest to accrue, not a waived month of borrowing cost.
- Stopping the old payment too early: Do not infer that the old loan is closed just because refinance paperwork is underway. Verify the payoff and follow account instructions.
- Confusing payment with amount due: A calculator’s payment excludes items that may appear on a real bill, such as escrow or insurance.
- Using a quote instead of final terms: The final principal, APR, and term can differ from preliminary figures. Recalculate with the final disclosed numbers.
- Overlooking due-date instructions: A new account may require enrollment or a specific payment method. Check the servicer’s instructions rather than relying on an old automatic payment setup.
Frequently Asked Questions
Do you skip a month when you refinance?
A first payment may not be due immediately after closing, but that does not necessarily mean a month of interest is waived. Check the new loan documents for the due date and how interest is handled.
When is my first mortgage payment after refinancing?
The date is specific to the new loan. Look for it in the final loan documents and confirm it with the servicer; do not rely on a general rule or the old mortgage’s schedule.
Do I still pay my old loan after refinancing?
Follow the old account’s instructions until payoff is confirmed. Check with the relevant servicer if a payment is due while the refinance is being completed or the account is transitioning.
Does this calculator include closing costs or escrow?
No. It estimates fixed-rate principal and interest from the entered amount, APR, and term. It does not calculate closing costs, prepaid interest, taxes, insurance, escrow, or other charges.
Why is my first payment different from the calculator?
The bill may include escrow or other charges, or the final loan balance, rate, term, and payment schedule may differ from the inputs. Compare the bill with the final disclosure and ask the servicer about any discrepancy.
This result is an estimate for educational purposes; 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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