Calculadora de Condonación de PréstamoFórmula

## 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.

Ejemplo Resuelto

A $60,000 loan at 6% with $350/month IDR payments for 120 months.

  1. Monthly rate = 6% / 12 = 0.5%
  2. Balance growth = $60,000 x (1.005)^120 = $109,164
  3. Payments factor = $350 x ((1.005)^120 - 1) / 0.005 = $57,439
  4. Remaining balance = $109,164 - $57,439 = $51,725 (forgiven)
  5. Total paid = $350 x 120 = $42,000