Debt Freedom Date Calculator — Fórmula
## Your Debt Freedom Date
This calculator determines exactly when you will be completely debt-free.
### Formula
**Months = -ln(1 - B x r / P) / ln(1 + r)**
Where B is total balance, r is monthly rate, and P is monthly payment.
### Accelerating Your Freedom Date
Every extra dollar paid reduces both the timeline and total interest:
- $100/month extra can cut years off your payoff
- Annual bonuses or tax refunds applied to debt make a big impact
- The snowball effect accelerates as each debt is eliminated
This calculator determines exactly when you will be completely debt-free.
### Formula
**Months = -ln(1 - B x r / P) / ln(1 + r)**
Where B is total balance, r is monthly rate, and P is monthly payment.
### Accelerating Your Freedom Date
Every extra dollar paid reduces both the timeline and total interest:
- $100/month extra can cut years off your payoff
- Annual bonuses or tax refunds applied to debt make a big impact
- The snowball effect accelerates as each debt is eliminated
Ejemplo Resuelto
$45,000 total debt at 12% average, paying $1,000/month with $0 extra.
- Monthly rate = 12% / 12 = 1%
- Months = -ln(1 - $45,000 x 0.01 / $1,000) / ln(1.01)
- Months = -ln(0.55) / ln(1.01) = 60 months (5 years)
- Total interest = $1,000 x 60 - $45,000 = $15,000