CCalculate.Studio
finance · 8 min · Terakhir ditinjau: 2026-07-07

Is Refinancing Your Mortgage Worth It? The Breakeven Math

TL;DRRefinancing replaces an existing mortgage with a new one, and whether it pays off depends on the breakeven point: closing costs divided by the monthly payment savings, which gives the number of months needed for accumulated savings to cover the upfront cost. In a worked example, refinancing a $200,000 balance with 25 years remaining from 6.5% to 5.25% saves about $151.92 per month, and with $4,000 of closing costs the breakeven point falls in the 27th month -- keeping the loan past that point is what makes the refinance pay off under this model. A rate-and-term refinance changes only the rate or term on the existing balance, while a cash-out refinance borrows more than the current balance and takes the difference in cash, which changes the cost comparison substantially.

What refinancing means

Refinancing replaces an existing loan with a new one, most often to secure a lower interest rate, change the loan term, or switch between an adjustable and a fixed rate. The Federal Reserve Board's consumer guide to mortgage refinancing frames the core trade-off: a lower rate reduces the monthly payment and the interest accrued going forward, but the refinance transaction itself has a cost, typically about 2% to 5% of the loan amount in closing costs such as origination fees, appraisal charges and title-related fees.

Because refinancing has an upfront cost, a lower rate alone does not automatically make refinancing worthwhile -- the savings generated by the new rate have to be large enough, and sustained for long enough, to recover that upfront cost before the loan is paid off, sold, or refinanced again.

The breakeven-month calculation

The breakeven point is the standard test for whether a refinance can pay for itself: it is calculated as closing costs divided by the monthly payment savings, giving the number of months of savings required before the accumulated total equals the upfront cost. A borrower who sells the home or refinances again before reaching the breakeven month will have paid more in refinance costs than the new rate saved them; a borrower who keeps the loan well past the breakeven month comes out ahead under the comparison.

This calculation isolates the effect of the rate change by comparing both loans over the same remaining term. In practice, many refinances reset the clock to a new 30-year term rather than matching the remaining years on the old loan, which lowers the monthly payment further but can increase total lifetime interest because interest then accrues over more months -- a separate effect from the rate itself that a like-for-like breakeven comparison is designed to avoid conflating.

Worked example: $200,000 balance, 25 years remaining

Consider a $200,000 loan balance with 25 years (300 months) remaining, currently at a 6.5% annual rate, with a new rate of 5.25% available and $4,000 in estimated closing costs. Using the amortization formula M = P[r(1+r)^n] / [(1+r)^n - 1] over the same 300-month remaining term, the current payment at 6.5% is $1,350.41 per month, and the new payment at 5.25% is $1,198.49 per month -- a monthly saving of $1,350.41 - $1,198.49 = $151.92.

The breakeven point is $4,000 / $151.92 = 26.33 months, rounded up to the 27th month, since a partial month of savings does not fully recover the cost until the following full month. Over the full remaining 300-month term, if the loan were held to maturity, the model projects approximately $151.92 x 300 = $45,576 in total payment savings, or about $41,576 net of the $4,000 in closing costs.

ItemValue
Current payment (6.5%, 300 months remaining)$1,350.41
New payment (5.25%, same 300 months)$1,198.49
Monthly savings$151.92
Closing costs$4,000
Breakeven point27th month
Net lifetime savings if held to maturity≈ $41,576

When refinancing does and doesn't make sense

Refinancing tends to make sense when the achievable rate reduction produces a breakeven point comfortably shorter than the time the borrower realistically expects to keep the loan -- for example, a breakeven under 24 months is recovered quickly under most holding-period scenarios, while a breakeven beyond 48 months depends on a long holding period and is more sensitive to an unplanned move or a subsequent refinance. Common trigger situations include a meaningful drop in available market rates, an improvement in the borrower's credit profile since the original loan, or a desire to move from an adjustable rate to a fixed rate before a reset.

Refinancing tends not to make sense when the borrower expects to sell or move well before the breakeven month, when the new rate offers only a marginal reduction that produces a very long breakeven period, or when a 'no-closing-cost' offer simply rolls the costs into a higher rate or a larger balance rather than eliminating them -- in which case the true cost is still present, just structured differently.

Rate-and-term refinance versus cash-out refinance

A rate-and-term refinance replaces the existing loan with a new one for approximately the same outstanding balance, changing only the interest rate, the term, or both; its cost-benefit comparison is the breakeven calculation described above, weighing closing costs against the monthly savings from the rate change. This is the type of refinance modeled in the worked example, and it is generally the more straightforward of the two to evaluate because the loan amount does not materially change.

A cash-out refinance instead replaces the existing loan with a larger new loan, with the borrower receiving the difference between the new loan amount and the payoff balance of the old loan in cash. Because the loan amount increases, a cash-out refinance can increase the monthly payment and total interest paid even if the new interest rate is lower than the old one, so the simple breakeven-on-savings comparison used for a rate-and-term refinance does not directly apply; evaluating a cash-out refinance requires comparing the full new payment, and the cost of the cash withdrawn, against the alternative of borrowing that same amount through a separate loan.

Pertanyaan yang sering diajukan

What is the breakeven point on a mortgage refinance?

The breakeven point is the number of months required for the monthly savings from a lower refinance rate to add up to the closing costs of the refinance, calculated as closing costs divided by monthly savings, rounded up to a whole month. In a worked example with $4,000 of closing costs and $151.92 of monthly savings, the breakeven point falls in the 27th month; keeping the loan past that point is what makes the refinance pay off under the comparison.

Is refinancing from 6.5% to 5.25% worth it?

Whether it is worth it depends on the breakeven point relative to how long the loan will be held. In a worked example with a $200,000 balance, 25 years remaining, and $4,000 of closing costs, moving from 6.5% to 5.25% saves $151.92 per month, producing a breakeven point in the 27th month. If the borrower expects to keep the loan well beyond 27 months, the refinance is projected to produce a net savings of roughly $41,576 if held to maturity; if a sale or another refinance is likely sooner, the savings may not fully materialize.

What is the difference between a rate-and-term refinance and a cash-out refinance?

A rate-and-term refinance replaces the existing loan with a new one for approximately the same balance, changing only the rate, the term, or both, and is evaluated using the breakeven calculation of closing costs against monthly savings. A cash-out refinance replaces the loan with a larger one and pays the difference to the borrower in cash, which can raise the monthly payment and total interest even at a lower rate, so it requires a different comparison than a simple breakeven calculation.

How much does it typically cost to refinance a mortgage?

Closing costs on a US mortgage refinance typically run about 2% to 5% of the loan amount, covering items such as origination fees, appraisal, title search and insurance, and recording fees. On a $200,000 balance, that range corresponds to roughly $4,000 to $10,000. Lenders are required to disclose these costs on a standardized Loan Estimate, which allows direct comparison between competing refinance offers.

Does refinancing always reset my loan to a new 30-year term?

Not necessarily, but many refinances are written as new 30-year loans by default, which lowers the monthly payment further but spreads interest over more months and can raise total lifetime interest even at a lower rate. Some lenders offer refinance terms that match the borrower's remaining years on the old loan, or shorter terms such as 15 or 20 years, which avoids conflating a rate benefit with a term-extension effect.

What does a 'no-closing-cost' refinance actually mean?

A 'no-closing-cost' refinance does not eliminate the underlying closing costs; instead, the lender typically recovers them through a higher interest rate or by adding them to the loan balance. Because the costs are still present in one form or another, comparing the resulting rate and payment against a standard refinance with disclosed closing costs and a calculated breakeven point is the way to evaluate whether the trade-off is favorable.

Referensi

  1. Federal Reserve Board. A consumer's guide to mortgage refinancing. federalreserve.gov.
  2. Consumer Financial Protection Bureau (CFPB). Loan Estimate explainer — closing cost disclosures. consumerfinance.gov.
  3. Consumer Financial Protection Bureau (CFPB). Should I refinance? Key questions and cost considerations. consumerfinance.gov.
  4. Freddie Mac. Refinance options and primary mortgage market survey rates. freddiemac.com.
  5. Brealey RA, Myers SC, Allen F. Principles of Corporate Finance (13th ed.). McGraw-Hill, 2020. Chapter 2: How to Calculate Present Values.

Kalkulator terkait