calculate-loan

01 Loan payments

No Cost Home Refinance: Calculate the Trade-Off

Calculator No. 01-5543 · 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 no-cost home refinance usually means the lender covers or adds closing costs rather than making them disappear; the costs are typically offset by a higher loan balance or interest rate. This calculator estimates the monthly payment and total interest on a fixed-rate loan from its amount, APR, and term, so you can compare loan arithmetic using figures supplied by a lender.

Formula

For principal P, annual percentage rate A, and term Y years, the monthly rate is r = A / 1200 and the number of monthly payments is n = 12Y. The level monthly payment is M = P × r / [1 − (1 + r)−n]. Total interest in this simplified calculation is I = M × n − P. P is the loan amount in dollars, A is APR in percent per year, Y is the term in years, M is dollars per month, and I is dollars over the full term. The calculator uses the unrounded payment internally for its displayed payment and interest formula; displayed dollar outputs are rounded to cents.

Worked Example

Using the defaults: P = $20,000, A = 8%, and Y = 5 years.

  1. Monthly rate: 8 ÷ 1200 = 0.0066667.
  2. Number of payments: 5 × 12 = 60.
  3. Payment: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = about $405.53 per month.
  4. Total interest using the unrounded formula payment: payment × 60 − $20,000 = about $4,331.83.

The payment is shown to the nearest cent, so multiplying the displayed $405.53 by 60 gives $24,331.80, a few cents different from the interest result calculated from the unrounded payment. That is a rounding effect, not an extra charge.

Assumptions

  • The interest rate stays fixed for the full term.
  • Payments are equal, made monthly, with the first payment one month after the loan begins.
  • Interest is compounded monthly at APR divided by 12.
  • Closing costs, points, taxes, insurance, mortgage insurance, escrow, and any change in loan balance are not included.

What “No-Cost” Refinancing Means

Refinancing replaces an existing mortgage with a new loan. A “no-cost” offer generally changes who pays closing costs or how those costs are recovered; it does not establish that the transaction has no economic cost. Depending on the offer, costs may be paid by the lender in exchange for a higher rate, or financed by adding them to the new principal. The specific structure and figures should be confirmed in the lender’s written estimate and disclosures.

For example, suppose a borrower has $200,000 remaining and $4,000 in eligible closing costs. If the costs are added to the new loan, the starting balance could be $204,000 before considering other adjustments. At the same APR and term, a larger principal generally produces a larger payment and more interest. If a lender instead covers costs while offering a higher rate, the starting balance may not rise by those costs, but the monthly payment and interest can still be higher than under a lower-rate offer.

The calculator here does not decide whether a refinance saves money. It calculates one loan’s payment and interest from inputs. A real comparison also needs the existing loan’s remaining balance, payment and time left, the new loan’s fees and rate, and how long the borrower expects to keep the loan.

How to Compare No-Cost and Cost-Paid Offers

Ask for comparable written figures and keep the loan amount and term clear. A lower monthly payment by itself does not prove that the transaction costs less overall: extending repayment can reduce the payment while increasing the time interest accrues.

  • Identify whether costs are paid upfront, added to principal, or offset through loan pricing.
  • Separate one-time charges from prepaid items or escrow funding, which may affect cash due at closing but are not necessarily lender fees.
  • Compare the new payment with the old payment and compare total payments over the period you expect to hold the loan.
  • Check whether the comparison uses the same term and whether either loan has a variable rate or other features not represented by this fixed-rate calculator.
  • Ask which costs are included in the quoted “no-cost” description and request an itemized explanation.

A simple break-even calculation can help organize the comparison when costs are paid upfront: divide those costs by the monthly payment reduction to estimate how many months of payment difference equal the upfront amount. This is only a rough measure. It does not account for principal paid down, interest differences, a longer repayment term, taxes, or the possibility of moving or refinancing again. If a lender pays costs in return for a higher rate, compare the actual payment and interest schedules rather than treating the offer as cost-free.

What This Calculator Does—and Does Not—Show

Enter the proposed loan amount, APR, and term to estimate the payment and interest for a standard fixed-rate, fully amortizing loan. Use the proposed balance if costs are being financed, and use the rate and term quoted for that specific offer. The default values are only an arithmetic example, not a market quote or a statement about available rates.

This is not a complete mortgage refinance comparison. It does not model the current mortgage, closing-cost line items, cash taken out, points, payment dates, taxes, insurance, adjustable rates, or a future sale. It also cannot determine eligibility or predict approval. For a useful side-by-side comparison, obtain actual figures for each option and account for any differences in balance, term, and costs.

Common Misunderstandings

“No cost” does not necessarily mean no cash is due at closing or no added expense over time. It can describe a way costs are financed or offset, and details vary by offer. Also, a lower monthly payment is not automatically a lower total cost: a longer term can spread payments over more months, while interest continues to accrue. Conversely, an offer with costs paid upfront may have a different rate or loan balance. Compare the full terms rather than relying on the label.

Frequently Asked Questions

Is a no-cost home refinance really free?
No-cost usually refers to how closing costs are handled, not necessarily to an absence of cost. Costs may be added to the balance or reflected in loan pricing. Ask for the itemized terms and clarify what the offer includes.

Can refinance closing costs be added to the loan?
Some offers may allow certain costs to be financed, which increases the new principal. Whether that is available and which charges qualify depend on the specific loan terms; use the quoted loan amount rather than assuming every charge is included.

How do I estimate a refinance break-even point?
As a rough calculation, divide upfront costs by the monthly payment reduction. Treat the result as a screening estimate, not a full cost comparison, because it omits factors such as loan term, principal reduction, and future plans.

Does refinancing always lower the monthly payment?
No. The payment depends on principal, APR, and term. A higher balance or rate can raise it; a longer term can lower the scheduled payment even if total interest over the life of the loan increases.

What figures should I request to compare offers?
Request the proposed principal, APR, term, estimated payment, itemized costs, and a clear explanation of how each cost is paid. Compare like-for-like loan terms and read the lender’s disclosure for the exact figures.

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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