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01 Loan payments

Refinance Zero Moving Cost? What the Numbers Include

Calculator No. 01-5618 · 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.

A refinance with zero moving cost usually means you do not pay certain costs out of pocket when the new loan closes; it does not necessarily mean the refinance is free. Use this calculator to compare the estimated monthly payment and total interest on a new loan, entering its amount, APR, and term; it does not estimate closing costs or whether a lender will cover them.

Formula

The calculator estimates a fixed monthly payment using the standard amortizing-loan formula, then subtracts the original principal from all scheduled payments to estimate total interest:

  • Monthly payment: M = P × r / [1 − (1 + r)−n]
  • Total interest: I = M × n − P

P is the loan amount in dollars; APR is the annual percentage rate entered as a percentage; r = APR / 1,200 is the monthly rate as a decimal; n = years × 12 is the number of monthly payments; M is the monthly payment in dollars; and I is total interest in dollars. The displayed payment is rounded to cents. The total-interest output uses the payment formula before display rounding, so small cent-level differences can occur when reproducing it with a rounded payment.

Worked Example

Using the block’s default inputs—$20,000, 8% APR, and 5 years:

  1. Convert the APR to a monthly rate: r = 8 / 1,200 = 0.0066667.
  2. Count the payments: n = 5 × 12 = 60.
  3. Substitute: M = 20,000 × 0.0066667 / [1 − (1.0066667)−60] ≈ $405.53 per month.
  4. Calculate total interest from the formula: I = M × 60 − 20,000 ≈ $4,331.78, using the unrounded payment internally.

The displayed results are approximately $405.53 monthly and $4,331.78 total interest. Values can differ slightly if intermediate steps are rounded differently.

Assumptions

  • The APR and payment amount stay fixed for the full term.
  • Payments are monthly and made at the end of each payment period.
  • Interest accrues monthly at APR divided by 12.
  • The calculation excludes refinance charges, taxes, insurance, PMI, escrow, and any fees or credits unless those amounts are included in the loan amount.

What “Zero Moving Cost” Can Mean

“Moving cost” is not a precise loan term. In refinance advertising, people may use it to mean zero out-of-pocket closing costs, no-fee refinancing, or a lender credit intended to cover some charges. Ask which meaning applies and request an itemized estimate. A cost not paid in cash at closing may still be paid indirectly.

For example, a lender may offer a credit that pays eligible charges, while setting a higher rate or adding costs to the new loan balance. These arrangements work differently: financing $3,000 of costs on a $20,000 refinance means borrowing $23,000, which increases the balance on which interest is calculated. A credit may reduce cash due at closing without eliminating the underlying expense. The calculator above does not model these costs or credits, so enter the actual proposed loan amount and APR to compare payment arithmetic.

How to Compare Refinance Offers

Compare the full written terms rather than relying on the phrase “zero cost.” Collect the same details for each offer and check what is included in the quoted loan amount.

  • New principal, including any costs added to the balance.
  • APR and whether the rate is fixed or can change.
  • Loan term and monthly payment, including any separately billed charges.
  • Itemized lender charges, third-party charges, credits, and cash due at closing.
  • Whether there is a charge for paying off the loan early or another condition that affects the estimate; ask the lender to explain applicable terms.

To understand the cost over time, compare the remaining interest and charges under each offer, not just the new payment. A lower monthly payment can result from extending repayment over more months, even when the total interest paid is higher. Conversely, a shorter term can mean a higher payment but fewer scheduled payments. The calculator estimates a new loan in isolation; it does not calculate the remaining cost of your existing loan or incorporate transaction charges.

Common Misunderstandings and Limits

Zero cash due at closing does not establish that a transaction has zero economic cost. Costs might be paid through a credit, built into the balance, or reflected in other loan terms. Also, “no-fee” can refer to a particular fee category rather than every charge. Get the lender’s written breakdown and ask what each line represents.

A refinance comparison also depends on how long the new loan remains outstanding. A simple break-even calculation divides costs paid by monthly savings, but that shortcut can mislead if the payment reduction comes from a longer term, the balance changes, or the comparison ignores interest. To assess a particular proposal, compare both loans over the period you expect to keep them, using their actual balances, rates, terms, and disclosed costs. This calculator is educational arithmetic, not a complete refinance comparison.

APR, loan amount, and term are inputs, not predictions or quotes. Get the figures for the specific offer from the lender. The formula assumes regular equal monthly payments and does not model variable rates, irregular payment dates, skipped payments, extra payments, or changing fees.

Frequently Asked Questions

Can I refinance with no money due at closing?
Possibly, depending on the offer’s terms. A credit or other arrangement may reduce cash due at closing, but check whether costs are financed or reflected in the rate, and review the itemized disclosure.

Does zero closing cost mean the refinance is free?
No. It describes cash due or a particular fee arrangement, not necessarily the total economic cost. Charges may be covered by a credit, added to the balance, or reflected in other terms.

Are refinance closing costs added to the new loan?
They can be, if the terms allow and the borrower chooses that structure. Adding them increases the amount borrowed and may increase interest. Confirm the proposed balance and each included charge with the lender.

How do I compare a zero-cost offer with a lower-rate offer?
Compare the written APR, balance, term, monthly payment, credits, and itemized costs over the same expected holding period. The payment alone does not show the total cost.

Does this calculator include closing costs?
No. It estimates payment and interest from the loan amount, APR, and term only. It does not determine lender fees, credits, cash due, or the cost of your current loan.

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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