Credit card debt is expensive. With average APRs above 20%, understanding exactly how long payoff will take — and how much interest you will pay — is the first step to getting out.
The Minimum Payment Trap
Credit card companies set minimum payments low on purpose. A $5,000 balance at 22% APR with a 2% minimum payment takes over 30 years to pay off and costs more than $8,000 in interest.
How Credit Card Interest Is Calculated
Most cards use the Average Daily Balance method:
Daily Periodic Rate = APR ÷ 365
Monthly Interest = Average Daily Balance × Daily Periodic Rate × Days in Month
Example: $3,000 balance, 20% APR:
- Daily rate = 20% ÷ 365 = 0.0548%
- Monthly interest = $3,000 × 0.000548 × 30 = $49.32
Calculating Payoff Time with Fixed Monthly Payments
If you pay a fixed amount each month:
n = -ln(1 − (r × Balance) / Payment) ÷ ln(1 + r)
Where r = monthly interest rate (APR ÷ 12), n = number of months.
Example: $3,000 balance, 20% APR, $150/month payment:
- r = 0.20 ÷ 12 = 0.01667
- n = −ln(1 − (0.01667 × 3000) / 150) ÷ ln(1.01667)
- n = −ln(1 − 0.333) ÷ 0.01653 = 24.3 months (~2 years)
- Total interest paid = (150 × 24.3) − 3,000 = $645
Payoff Scenarios for $3,000 Balance at 20% APR
| Monthly Payment | Months to Pay Off | Total Interest |
|---|---|---|
| Minimum ~2% ($60) | 94 months (7.8 years) | $2,627 |
| $100 | 40 months | $989 |
| $150 | 24 months | $645 |
| $200 | 17 months | $455 |
| $300 | 11 months | $300 |
Multiple Cards: Which to Pay First?
Debt Avalanche (mathematically optimal)
Pay minimums on all cards, put every extra dollar toward the highest APR card first.
- Minimises total interest paid
- Takes longer to feel progress
Debt Snowball (psychologically effective)
Pay minimums on all cards, put every extra dollar toward the lowest balance card first.
- Builds momentum and motivation
- Pays slightly more interest overall
Hybrid approach: If your highest-APR card is also a small balance, both methods converge. Start there.
The Real Cost of Making Only Minimum Payments
| Balance | APR | Min Payment | Years to Pay Off | Total Interest |
|---|---|---|---|---|
| $1,000 | 18% | 2% | 9 years | $731 |
| $3,000 | 20% | 2% | 16 years | $3,069 |
| $5,000 | 22% | 2% | 30 years | $8,200 |
| $10,000 | 24% | 2% | 40+ years | $21,000+ |
Strategies to Pay Off Faster
Balance transfer to 0% intro APR: Many cards offer 0% for 12–21 months. A $3,000 transfer with a $150/month payment clears the debt completely with $0 interest — saving $645 vs keeping the 20% card.
Personal loan at lower rate: If you can get an unsecured personal loan at 10–12%, refinancing 20%+ card debt can halve your interest cost.
Snowflaking: Apply any unexpected money (tax refund, bonus, side income) directly to principal. Every $100 extra reduces payoff time more than the principal suggests because it prevents future compounding.
How to Use Our Loan Calculator for Credit Cards
Enter your balance as the loan amount, your APR, and your desired monthly payment. The calculator shows total interest paid and payoff date — try different payment amounts to find the sweet spot.