Credit Card Calculator
Estimate how long it takes to pay off a credit card balance, and how much interest you'll pay at different payment amounts.
Formula
Interest = Balance × (APR / 12)
Monthly interest is balance times monthly rate. Each payment covers interest first, then reduces principal. Paying only minimums keeps you in debt for years.
Worked Examples
Example 1: Minimum Payment Trap
Problem:$8,000 balance at 22% APR, paying minimum only.
Solution:Minimum payment starts at ~$160 (2% of balance) Decreases as balance decreases Time to payoff: ~25 years Total interest paid: ~$12,000 Total paid: ~$20,000 You pay $2.50 for every $1 borrowed!
Result:25 years, $12,000 interest
Example 2: Fixed Payment Strategy
Problem:$8,000 at 22% APR, fixed $300/month payment.
Solution:Fixed payment: $300/month Time to payoff: ~35 months (~3 years) Total interest: ~$2,600 Total paid: ~$10,600 Compare to minimum payment: Saves: ~$9,400 in interest Saves: ~22 years!
Result:3 years, $2,600 interest
Example 3: Multiple Cards - Avalanche
Problem:Card A: $5,000 @ 24%, Card B: $3,000 @ 18%. Extra $200/month beyond minimums.
Solution:Card A minimum: $100 Card B minimum: $60 Total available: $360 Avalanche: Pay Card A $260, Card B $60 (extra $200 → highest rate) Card A paid in ~24 months Card B paid in ~6 more months Total: ~30 months, $1,800 interest Snowball (smallest first) would take ~32 months, $2,000 interest
Result:Avalanche saves $200
Frequently Asked Questions
How is credit card interest calculated?
Daily periodic rate = APR ÷ 365. Each day, interest = balance × daily rate. These daily charges are summed for your monthly statement. Interest compounds on unpaid balance including previous interest.
What is a good credit card APR?
Excellent credit (750+): 15-20%. Good credit (670-749): 20-24%. Fair credit (580-669): 24-28%. Poor credit: 28%+. Cards for excellent credit may offer 12-15%. 0% intro APR cards available for balance transfers.
Should I pay more than minimum?
Absolutely! Minimum payments (typically 2% of balance or $25) are designed to maximize bank profits. Paying double or triple can save thousands in interest and years of payments. Always pay as much as you can.
What is the debt avalanche method?
Pay minimums on all cards, put all extra money toward the card with highest APR. Mathematically optimal—saves the most interest. May take longer to eliminate first card, which can affect motivation.
What is the debt snowball method?
Pay minimums on all cards, put extra toward smallest balance. Provides psychological wins with quick payoffs. Costs slightly more in interest than avalanche but helps maintain motivation.
How do balance transfers work?
Move high-interest debt to 0% intro APR card. Typically 12-21 months at 0%. Balance transfer fee usually 3-5%. Must pay off before promo ends to maximize savings. Can save thousands in interest.
What is average daily balance?
Most common method for calculating interest. Sum daily balances for the month, divide by days in month. This average is multiplied by monthly rate to get interest charge.
Does paying twice monthly help?
Yes! Reduces average daily balance, lowering interest charges. Pay half your monthly payment every two weeks or split payment in two mid-month. Every bit helps.
What is a credit utilization ratio?
Balance ÷ Credit Limit. Keep below 30% ideally (below 10% is excellent). High utilization hurts credit score. Utilization is calculated both per-card and overall.
Should I close cards after paying off?
Generally no. Closing reduces available credit, increasing utilization ratio. Keep old cards open for credit history length. Use occasionally to keep them active. Only close if there's an annual fee you don't want.
Background & Theory
Credit card interest compounds daily on unpaid balances, making it one of the most expensive forms of consumer debt. Understanding the mathematics of credit card payoff reveals why minimum payments keep you in debt for decades and how strategic repayment can save thousands in interest.
Interest Calculation:
Daily Rate = APR ÷ 365
Daily Interest = Balance × Daily Rate
Monthly Interest = Sum of daily charges
Average Daily Balance:
Most common method. Interest charged on average balance throughout the billing cycle, not end balance.
Minimum Payment:
Typically greater of:
- 2% of balance, or
- $25-35 fixed
Payment Strategies:
| Strategy | Description | Best For |
|---|---|---|
| Pay in Full | Avoid all interest | If you can afford it (best!) |
| Avalanche | Extra to highest APR | Minimize total interest |
| Snowball | Extra to smallest balance | Quick wins, motivation |
| Balance Transfer | 0% intro APR | Large debt, good credit |
Cost of Minimums:
$5,000 balance at 20% APR:
- Minimum only: 15+ years, $7,000+ interest
- $200/month: 30 months, $1,200 interest
- $300/month: 20 months, $700 interest
Credit Score Impact:
- Utilization: <30% good, <10% excellent
- Payment history: most important factor
- Pay on time, every time
- Carrying balance doesn't help score