Calculateur de Remboursement de Dettes — Formule

Debt Payoff Formula

Months = -log(1 - r × D / P) / log(1 + r)

Where D = debt, P = monthly payment, r = monthly rate. Payment must exceed monthly interest (D × r) for the debt to decrease.

Exemple Résolu

$15,000 debt at 12% APR with $400 monthly payments.

  1. Monthly rate = 12% / 12 = 1%
  2. Months = -log(1 - 0.01 × 15000 / 400) / log(1.01)
  3. = -log(0.625) / 0.00995 = 47.2 → 48 months (4 years)
  4. Total paid = 48 × $400 = $19,200
  5. Total interest = $19,200 - $15,000 = $4,200