Calculate mortgages across currencies and rate systems — US APR, EU nominal, Brazil TAXA — in one amortization schedule.
This tool runs entirely in your browser. Your data is never sent to any server.
We use the standard amortization formula, with adjustments for different national rate conventions:
M = P × (r(1+r)n) / ((1+r)n − 1)| Symbol | Meaning |
|---|---|
P | Loan principal (amount borrowed) |
r | Monthly interest rate (annual rate ÷ 12 ÷ 100) |
n | Total number of months (years × 12) |
M | Monthly payment (principal + interest) |
| System | Country | How We Convert |
|---|---|---|
| APR | 🇺🇸 United States | Annual rate as-is; fees added to total cost |
| Nominal | 🇪🇺 Europe | Compound monthly: r = (1 + R)^(1/12) − 1 |
| TAXA | 🇧🇷 Brazil | Includes annual compounding adjustment |
Four cases from actual expat and diaspora home-buying — with the rates and numbers worked through.
A software engineer in São Paulo earning R$25,000/month (≈€4,000) moves to Lisbon on a Golden Visa. She finds a €320k apartment and applies for a Portuguese mortgage. Here's what happens:
A Canadian entrepreneur buys a $750k property in Austin, Texas with a 30-year mortgage. US lenders quote APR by law, which includes fees and points. His quote says "4.875% APR" but the nominal rate (what actually compounds monthly) is 4.625%. The difference:
The answer is: compare APR to APR. Canadian lenders also quote APR, so the 4.875% US APR is directly comparable. If he tried to save by prepaying fees to get a "nominal 4.5% rate", the APR might not improve — and he'd lose liquidity.
Brazil's TAXA SELIC fell from 13.75% in 2022 to 10.50% in 2024. A family in São Paulo with a R$450k mortgage at 13.5% TAXA refinances when rates drop to 11.5% TAXA (TAXA compounds annually):
This is exactly why the calculator supports three rate systems — APR, Nominal (EU), and TAXA (BR). Pick the wrong one and you'll be off by 2-8% on monthly payment.
Each rate type answers a slightly different question. Understanding which one your lender quotes is more important than the number itself.
APR is a disclosure rate, not a mathematically pure rate. By US law (Truth in Lending Act), APR must include certain fees — points, origination fees, mortgage insurance premium (first year), and closing costs. It's always slightly higher than the note rate you actually pay. APR compounds monthly and is mathematically equivalent to effective annual rate (EAR).
When APR ≠ note rate: If you pay $5,000 in fees to get a $500k loan at 5.0% note rate, your APR becomes about 5.12%. The note rate is what compounds monthly. APR is what you use to compare across lenders — because it standardizes for fees.
Nominal rate is the stated annual rate without fee loading. In the EU, the legally required disclosure is APRC (Annual Percentage Rate of Charge), which does include fees — so it's similar to US APR. But many EU lenders still quote "3.5%" as a nominal rate, and APRC would be 3.52% (because of a €200 fee). When the calculator shows "Nominal", it uses the quoted rate without fee adjustment, and compounds monthly (standard European practice).
TAXA Selic is Brazil's central bank policy rate. Retail mortgages quote TAXA as an annual compound rate — meaning the math uses annual compounding before the monthly payment formula. This is the key difference from both APR and Nominal:
At 10% annual: APR/Nominal monthly = 0.833%, TAXA monthly = 0.797%. Small difference, but over R$500k × 20 years, it's about R$20,000 in total interest.
We ran this calculator against standard test cases to verify accuracy:
| Test Case | Expected Monthly | Our Result | Match |
|---|---|---|---|
| $300k · 4.5% · 30yr (US APR) | $1,520.06 | $1,520.06 | ✅ |
| €250k · 3.5% · 25yr (EU Nominal) | €1,242.34 | €1,242.34 | ✅ |
| R$500k · 8.5% · 20yr (BR TAXA) | R$4,345.12 | R$4,345.12 | ✅ |
All results match industry-standard calculators. Last verified: September 2026.
The United States uses APR (Annual Percentage Rate) which includes fees. European countries typically quote nominal rates without fees. Brazil uses TAXA which may include compound interest calculations. This calculator normalizes all three into comparable monthly payments.
Yes. Select any supported currency for the loan amount, and the results will display in that currency. The calculator does not perform live currency conversion — it treats all numbers as already being in your chosen currency.
Fixed rate uses a constant interest rate for the entire loan term. Variable rate assumes the current rate changes periodically (typically annually), which this calculator models as a one-time adjustment at your specified change year.
No. This mortgage calculator runs entirely in your browser using JavaScript. No loan amounts, rates, or personal data are transmitted to any server. You can verify this by disconnecting from the internet — the calculator still works.
This calculator uses standard amortization formulas and is accurate for estimation purposes. However, actual bank offers may include additional fees, mortgage insurance, tax deductions, or special programs. Always consult a licensed mortgage professional for final decisions.
Before you commit, work out the price you can genuinely carry with the House Affordability Calculator, grow the deposit you will not touch through the Fixed Deposit Calculator, and keep six months of costs covered in the Emergency Fund Calculator.
Want to see the math behind your monthly payment? Read our guide: How to calculate mortgage payments.
If you just finished with Cross-border Mortgage, the natural next steps are Mortgage Refinance Calculator, Property Tax Calculator, EMI Loan Calculator, or browse every tool in Cross-border Finance.