Calculadora de Hipoteca
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
PMT = P·r·(1+r)ⁿ / ((1+r)ⁿ − 1)
About this calculator
The Mortgage Calculator is a financial tool that simulates the monthly payments of a real estate financing. It uses the French amortization system (Price table), where payments are fixed over the contract term. It considers three main variables: the property value (or loan amount), the annual interest rate, and the term in months. The result shows the monthly payment amount, the total amount paid at the end of the financing, and the total interest paid.
The calculation is based on the formula PMT = P × r × (1+r)^n / ((1+r)^n - 1), where P is the principal (financed amount), r is the monthly interest rate (annual rate divided by 12), and n is the total number of payments. This formula determines the constant value of each monthly payment. The tool also displays the total amount disbursed (payment × number of payments) and the difference between that total and the financed amount, which represents the total interest paid.
This calculator is useful for those planning to buy a financed property, either for housing or investment. It helps compare different scenarios by varying the down payment, interest rate, or term. It can also be used to simulate a home equity loan. By knowing the payment amount and total cost, the user can make more informed decisions and avoid financial surprises.
It is important to remember that the calculation considers compound interest and does not include additional costs such as insurance, bank administration fees, IOF (Brazilian tax on financial operations), or notary expenses. Also, the interest rate entered must be the nominal annual rate; if it is effective, the result may differ. It is recommended to use the tool as an initial estimate and consult a professional or financial institution for exact values.
Frequently asked questions
What is the Price amortization system?
It is a system where payments are fixed throughout the financing. Interest is calculated on the outstanding balance, which decreases over time, causing the amortization portion to increase progressively.
Does the calculator consider the down payment?
Yes, you can enter the property value and the down payment. The calculator subtracts the down payment from the property value to obtain the financed amount.
Can I use this calculator to simulate a vehicle loan?
Yes, as long as the loan uses the Price system (fixed payments). Just enter the vehicle value, interest rate, and term.
Does the result include insurance and bank fees?
No. The calculation only considers the principal and interest. Mandatory insurance (such as MIP and DFI) and administrative fees are not included.
What is the difference between nominal and effective interest rate?
The nominal rate is the annual rate stated, usually used in contracts. The effective rate considers monthly compounding and is higher. This calculator uses the nominal rate; if you enter the effective rate, the result may be inaccurate.