What are the assumptions of the Empréstimo formula?

Fixed interest rate for the entire loan term. Equal monthly payments (standard amortization). No prepayment or balloon payment. Loan fees are either included in the principal or paid separately (not in the payment formula).

What are the limitations of Empréstimo?

This formula does not account for variable rates (some private student loans, HELOCs). Origination fees, late fees, and prepayment penalties are not included. For credit cards, payments are not fixed — minimum payments can extend the loan indefinitely.

Metodologia

How we calculate loan payments

Our methodology for the Empréstimo calculator: the formula, step-by-step calculation, authoritative sources, and limitations. Reviewed quarterly.

Fórmula

M = P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1]

Passo a passo

1
Determine the loan principal (P): the amount borrowed.
2
Determine the monthly interest rate (r): divide the APR by 12.
3
Determine the number of monthly payments (n): years × 12.
4
Compute (1 + r)ⁿ: the total compounding factor.
5
Apply the formula: P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1]. The result is the monthly payment.
6
Multiply the monthly payment by n and subtract P to get total interest paid.

Fontes autorizadas

Every claim on this page is backed by an authoritative source.

Pressupostos

What we take to be true when applying this formula.

Fixed interest rate for the entire loan term.
Equal monthly payments (standard amortization).
No prepayment or balloon payment.
Loan fees are either included in the principal or paid separately (not in the payment formula).

Limitações

What this method does NOT capture.

This formula does not account for variable rates (some private student loans, HELOCs).
Origination fees, late fees, and prepayment penalties are not included.
For credit cards, payments are not fixed — minimum payments can extend the loan indefinitely.

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Última revisão: 2026-06-15 • Reviewed by: CalcxApp editorial team