Mortgage Refinance Calculator
Compare keeping a current mortgage with refinancing, including a changed term, closing costs, discount points, cash out, financed costs and recurring fees.
Calculator inputs
Mortgage Refinance Calculator result
mortgage refinance calculator: complete method, inputs and interpretation
The mortgage refinance calculator is a dedicated tool for planning and verification. It does not reuse a generic one-formula shell. Every input is validated, converted to a consistent internal basis and connected to the exact equations described below. The result separates the main answer from supporting quantities so users can reproduce the calculation and identify which assumption changes the outcome.
Calculation method
It compares the remaining current-loan amortization with a proposed refinance and accounts for points, cash out, financed costs and recurring fees. The mortgage refinance calculator keeps unrounded working values internally and rounds only the displayed result. This avoids compounding display-rounding errors in schedules, comparisons and percentage breakdowns.
Inputs and scenario controls
The mortgage refinance calculator includes the fields needed for this search intent instead of hiding essential assumptions. Users can change the scenario, load a worked example and compare the updated result immediately. Invalid, missing or impossible combinations return a specific message rather than a silent zero or an apparently valid result.
Understanding the results
It reports both payments, monthly change, cash break-even, new principal, remaining interest and lifetime-cost difference. The mortgage refinance calculator provides an auditable detail section and a responsive visual summary. Supporting values are shown because a single rounded answer is often insufficient for financial, scientific, engineering or health-related planning.
Limits and responsible use
Quotes, escrow, prepayment penalties, tax treatment, recast rules and closing disclosures may differ from this planning scenario. The mortgage refinance calculator is a transparent estimate, not a guarantee, diagnosis, approval, legal conclusion or professional recommendation. Current rates, local rules and individual circumstances should be checked when they materially affect the decision.
Worked-example verification
Use the example button to load a complete scenario, then compare the displayed intermediate values with a manual calculation. The mortgage refinance calculator keeps the formula trace and assumptions visible so the answer can be checked independently. Changing one field at a time is the clearest way to see sensitivity and avoid confusing correlated assumptions.
Why this calculator has a separate page
This mortgage refinance calculator has a distinct primary task, input model and output workflow. Related calculators may share background concepts, but they do not answer the same user question. Keeping the intent separate prevents a broad calculator page from becoming difficult to use and prevents two pages from competing for an identical keyword.
What does this mortgage refinance calculator calculate?
It reports both payments, monthly change, cash break-even, new principal, remaining interest and lifetime-cost difference.
Is the mortgage refinance calculator an official result?
Quotes, escrow, prepayment penalties, tax treatment, recast rules and closing disclosures may differ from this planning scenario.
Can I compare scenarios?
For a sensitivity check in the Mortgage Refinance Calculator, vary Current mortgage balance ($) while holding Current interest rate (%) fixed and use Cr = Current Rate to confirm the direction and scale of Current monthly P&I, New monthly payment, and Monthly savings. Then repeat with another input; an unexpected direction usually signals a unit, sign, or assumption error.
Mortgage Refinance Calculator: formula-based step-by-step solution
This Mortgage Refinance Calculator worked derivation uses the published default state. Its live formula panel replaces these values whenever an input, unit, mode, date, material, or scenario changes.
Cr = Current RateCurrent = Current BalanceNew Principal = current+cash+(roll?upfront:0)Old Pay = payment(current,cr,cy)New PI = payment(newPrincipal,nr,ny)New Pay = newPI+feesMonthly Savings = oldPay-newPayBreak Even = monthlySavings>0?(roll?0:upfront ÷ monthlySavings):InfinityOld Interest = oldPay × round(cy × 12)-currentNew Interest = newPI × round(ny × 12)-newPrincipalTotal Difference = (newInterest+upfront+fees × round(ny × 12))-oldInterestUpfront = costs+current × points ÷ 100
1. Governing formulas and numeric substitution
- Formula 1:
Cr = Current RateDefault-value substitution:Cr = (7)Intermediate evaluation:7 - Formula 2:
Current = Current BalanceDefault-value substitution:Current = (300000)Intermediate evaluation:300000 - Formula 3:
New Principal = current+cash+(roll?upfront:0)Default-value substitution:New Principal = (300000)+cash+(roll?upfront:0) - Formula 4:
Old Pay = payment(current,cr,cy)Default-value substitution:Old Pay = payment((300000),(7),cy) - Formula 5:
New PI = payment(newPrincipal,nr,ny)Default-value substitution:New PI = payment(newPrincipal,nr,ny) | current data: Current mortgage balance ($)=300000 $; Current interest rate (%)=7 %; Current remaining term (years)=25 years; Proposed refinance rate (%)=5.75 %; New loan term (years)=25 years; Closing costs ($)=6000 $; Discount points (% of current balance)=0 % of current balance; Additional cash out ($)=0 $ - Formula 6:
New Pay = newPI+feesDefault-value substitution:New Pay = newPI+(0) - Formula 7:
Monthly Savings = oldPay-newPayDefault-value substitution:Monthly Savings = oldPay-newPay | current data: Current mortgage balance ($)=300000 $; Current interest rate (%)=7 %; Current remaining term (years)=25 years; Proposed refinance rate (%)=5.75 %; New loan term (years)=25 years; Closing costs ($)=6000 $; Discount points (% of current balance)=0 % of current balance; Additional cash out ($)=0 $ - Formula 8:
Break Even = monthlySavings>0?(roll?0:upfront ÷ monthlySavings):InfinityDefault-value substitution:Break Even = monthlySavings>0?(roll?0:upfront ÷ monthlySavings):Infinity | current data: Current mortgage balance ($)=300000 $; Current interest rate (%)=7 %; Current remaining term (years)=25 years; Proposed refinance rate (%)=5.75 %; New loan term (years)=25 years; Closing costs ($)=6000 $; Discount points (% of current balance)=0 % of current balance; Additional cash out ($)=0 $ - Formula 9:
Old Interest = oldPay × round(cy × 12)-currentDefault-value substitution:Old Interest = oldPay × round(cy × 12)-(300000) - Formula 10:
New Interest = newPI × round(ny × 12)-newPrincipalDefault-value substitution:New Interest = newPI × round(ny × 12)-newPrincipal | current data: Current mortgage balance ($)=300000 $; Current interest rate (%)=7 %; Current remaining term (years)=25 years; Proposed refinance rate (%)=5.75 %; New loan term (years)=25 years; Closing costs ($)=6000 $; Discount points (% of current balance)=0 % of current balance; Additional cash out ($)=0 $ - Formula 11:
Total Difference = (newInterest+upfront+fees × round(ny × 12))-oldInterestDefault-value substitution:Total Difference = (newInterest+upfront+(0) × round(ny × 12))-oldInterest - Formula 12:
Upfront = costs+current × points ÷ 100Default-value substitution:Upfront = (6000)+(300000) × (0) ÷ 100Intermediate evaluation:6000
2. Variables and measurement units used
- Current mortgage balance ($) =
300000$ - Current interest rate (%) =
7% - Current remaining term (years) =
25years - Proposed refinance rate (%) =
5.75% - New loan term (years) =
25years - Closing costs ($) =
6000$ - Discount points (% of current balance) =
0% of current balance - Additional cash out ($) =
0$ - Finance closing costs =
no - New monthly recurring fees ($) =
0$
3. Mortgage Refinance Calculator final evaluation: this calculator’s production engine evaluates the substituted relationship with unrounded internal precision; its subject-specific result cards, table, and visual report the rounded final answer and verification quantities.
Formula-based calculator guide
Mortgage Refinance Calculator: formula, steps, units and verification
mortgage refinance calculator is designed for a transparent calculation rather than a black-box answer. Mortgage Refinance Calculator: compare a current mortgage with refinancing using new rate and term, closing costs, points, cash out, financed costs, monthly.
How to use the mortgage refinance calculator in 5 steps
- Choose the required mode. Select the calculation path that matches the quantity you know and the result you need.
- Enter source values. Use measured, documented or assignment values rather than rounded estimates whenever possible.
- Confirm every unit. The mortgage refinance calculator converts supported units before formula substitution, so each selector must describe the entered number.
- Run the calculation. Review the displayed formula, normalized values and numeric substitution before accepting the final result.
- Verify the answer. Reproduce the substitution manually and check whether the output is reasonable for the stated assumptions.
Mortgage Refinance Calculator formula and unit checks
The mortgage refinance calculator keeps source inputs, canonical calculation units and displayed output units separate. This prevents a correct formula from producing a wrong answer because feet were treated as meters, percentages as decimals, or time values as the wrong interval.
For an independent check, copy the formula shown by the calculator, substitute the unrounded canonical values, preserve full precision through intermediate operations and round only the final result. The verified answer should match both the displayed number and its measurement unit.
How to interpret the mortgage refinance calculator result
A result is useful only when its assumptions match the real problem. Compare the answer with expected ranges, inspect any warning or boundary message, and test a nearby input to confirm that the output changes in the direction predicted by the governing relationship.
The mortgage refinance calculator provides an educational and planning result. For regulated, medical, structural, financial, laboratory or safety-critical decisions, verify the inputs and method against the applicable professional requirements before acting.
Related calculators
Mortgage Refinance Calculator quick verification checklist
Before saving or reporting a result from the mortgage refinance calculator, confirm the input source, unit selections, formula mode, intermediate substitution, final unit and rounding rule. These checks make the calculation reproducible and easier to audit.
Browse the complete published calculator sitemap or return to the Salar Cafe home page.