Calculadora de Empréstimo Estudantil
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
Saldo após carência = P·(1+r)^carência; PMT = saldo·r·(1+r)^n/((1+r)^n−1)
About this calculator
The Student Loan Calculator from UtilizAí is designed to simulate educational financing with a grace period. During the grace period, interest is capitalized, meaning the outstanding balance grows without payments. After this period, the amount due is amortized in fixed monthly installments (Price system). The tool considers three inputs: loan amount, monthly interest rate, and total number of installments, plus the grace period in months.
The calculation happens in two steps. First, the balance at the end of the grace period is obtained using the compound interest formula: Balance = P × (1 + r)^c, where P is the initial amount, r the monthly rate, and c the grace period. Then, the fixed payment (PMT) is calculated using the amortization formula: PMT = Balance × r × (1 + r)^n / ((1 + r)^n - 1), with n being the number of installments after the grace period. The result shows the value of each installment and the total amount paid.
This simulator is useful for students planning to finance undergraduate courses, graduate programs, or exchange programs. It allows comparing different grace periods and terms, helping to choose the most suitable option for the budget. It is important to remember that the calculation considers compound interest and does not include administrative fees or insurance, which may be charged by financial institutions.
Cautions: the interest rate entered must be monthly and compatible with that offered by the bank. The grace period may vary according to the institution's policy; some loans require interest payments during the grace period, which changes the calculation. Always check the actual contract conditions before committing.
Frequently asked questions
What is a grace period in a student loan?
It is the time when you do not need to pay installments, but interest continues to accrue and is added to the principal, increasing the debt.
How does the grace period affect the installment amounts?
The longer the grace period, the higher the outstanding balance at the start of amortization, resulting in higher installments to repay the debt within the same term.
Can I use this calculator to simulate FIES (Brazilian student loan)?
Yes, as long as you enter the specific interest rate and grace period of the program. Check the current conditions on the official FIES website.
Does the calculator consider additional fees like insurance or bank charges?
No. It only calculates the principal and compound interest. Extra fees must be added manually to get the actual cost.
What does PMT mean in the result?
PMT is the fixed monthly installment amount you will pay during the amortization period, after the grace period.