Calculadora de Pagamento Baseado na Renda — Formula
## How Public Service Loan Forgiveness Works
PSLF forgives remaining balance after 120 qualifying payments (10 years) while working for a qualifying employer.
### Remaining Balance Formula
**Balance after N payments = Original x (1+r)^N - Payment x ((1+r)^N - 1) / r**
The remaining balance after 120 payments is the amount forgiven. Under IDR plans, payments are based on income rather than loan amount.
PSLF forgives remaining balance after 120 qualifying payments (10 years) while working for a qualifying employer.
### Remaining Balance Formula
**Balance after N payments = Original x (1+r)^N - Payment x ((1+r)^N - 1) / r**
The remaining balance after 120 payments is the amount forgiven. Under IDR plans, payments are based on income rather than loan amount.
Exemplo Resolvido
A $60,000 loan at 6% with $350/month IDR payments for 120 months.
- Monthly rate = 6% / 12 = 0.5%
- Balance growth = $60,000 x (1.005)^120 = $109,164
- Payments factor = $350 x ((1.005)^120 - 1) / 0.005 = $57,439
- Remaining balance = $109,164 - $57,439 = $51,725 (forgiven)
- Total paid = $350 x 120 = $42,000