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Credit Card Payoff Calculator

Calculate how long it will take to pay off credit card debt and total interest paid based on balance, APR, and monthly payment.

By Christopher FloiedPublished Updated

Must be greater than 0

Results

Months to Pay Off

34

Years to Pay Off

2.8

Total Amount Paid

$6,749.54

Total Interest

$1,749.54

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Credit Card Payoff Calculator. Follow the units and input format printed next to each field. Where a unit selector is available, choose the units that match your data.

2

Review your inputs

Double-check that all values are correct and match the units or format shown for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.

3

Read the results

The Credit Card Payoff Calculator computes the output in your browser and displays the results, with units clearly labeled, as soon as they are ready — no data sent to a server.

4

Explore parameter sensitivity

Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.

When to Use This Calculator

  • •Use the Credit Card Payoff Calculator when comparing financial options side-by-side — such as different loan terms or investment returns — to make more informed decisions.
  • •Use it to quickly estimate costs or returns before making purchasing, investment, or borrowing decisions.
  • •Use it for financial education and planning to understand how compound interest, fees, or tax affects the real value of money over time.
  • •Use it when building or reviewing a budget to verify that projections and calculations are mathematically correct.

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About Credit Card Payoff Calculator

The Credit Card Payoff Calculator shows the true cost of credit card debt — which is often shockingly high. Credit cards typically charge 18-28% APR, making them the most expensive form of consumer debt. Paying a fixed $100 a month on a $5,000 balance at 22% APR (what a typical 2% minimum payment asks for at the start) takes 137 months (11.4 years) and costs $8,677.91 in interest, and a minimum that shrinks as the balance falls takes far longer. This calculator shows how long your debt will take to clear at a fixed monthly payment and how much interest you'll pay, helping you plan your payoff. Even small increases in monthly payment can dramatically reduce payoff time — doubling that $100 payment to $200 cuts the time from 137 to 34 months and the interest from $8,677.91 to $1,749.54. This calculator is the wake-up call most people need to prioritize high-interest debt elimination.

The Math Behind It

Credit card debt is especially dangerous because of compound interest working AGAINST you. Unlike fixed loans, credit cards: 1. **Charge compound interest** on unpaid balances daily 2. **Require only small minimum payments** (usually 1-3% of balance) 3. **Often have high APRs** (18-28% typical, up to 36%) 4. **Reset each month** if balance isn't paid in full **The Payoff Formula**: n = -log(1 - r×B/P) / log(1 + r) Where: - n = Number of months - B = Current balance - r = Monthly interest rate (APR ÷ 12) - P = Monthly payment **Why Minimum Payments Are a Trap**: On a $5,000 balance at 22% APR, a month's interest is 1.83% of the balance ($91.67 at first). A minimum payment of 2% of the balance ($100 at first) pays off only about 0.2% of the balance a month, and it shrinks as the balance does, so paying only the minimum takes decades. Fixed payments, which this calculator models, clear the same balance in: - $100/month: 11.4 years (137 months), $8,677.91 interest - $200/month: 2.8 years (34 months), $1,749.54 interest - $500/month: 11 months, $573.87 interest Credit card companies design minimum payments to maximize their profits by keeping you in debt as long as possible. **The Two Main Payoff Strategies**: 1. **Avalanche Method**: Pay minimums on all cards, put extra money toward highest APR card first. Mathematically optimal — saves the most interest. 2. **Snowball Method**: Pay minimums on all, extra to smallest balance first. Psychologically motivating — quick wins build momentum. Popularized by Dave Ramsey. Research shows the snowball method works better for most people because behavioral motivation matters more than small mathematical differences. **Balance Transfer Cards**: 0% APR introductory offers (12-21 months) can be powerful tools: - Transfer balance to new card - Pay aggressively during 0% period - BEWARE: Balance transfer fee (3-5%), rate jumps to 20%+ after intro period **Warning Signs You Need Help**: - Only making minimum payments - Using new cards to pay old ones - Debt growing each month despite payments - Can't pay necessities without credit **Debt Consolidation Options**: 1. **Personal loan**: Often 8-15% vs 22% cards 2. **HELOC**: 6-9% but risks your home 3. **401(k) loan**: Avoid — risks retirement 4. **Debt management plan**: Through credit counseling 5. **Debt settlement**: Only for severe cases **The True Cost Calculation**: Paid off at $100 a month, a $5,000 credit card purchase at 22% APR costs $13,677.91 in all, about 2.7 times its price; at $200 a month it costs $6,749.54. The question isn't 'can I afford the monthly payment' but 'what will this purchase cost me by the time it's paid off?'

Formula Reference

Months to Pay Off

n = -log(1 - r×B/P) / log(1 + r)

Variables: B = balance, r = monthly rate, P = monthly payment

Worked Examples

Example 1: Minimum Payment Trap

$5,000 balance at 22% APR, paying a fixed $100 a month (2% of the balance, a typical minimum payment at the start).

Step 1:Monthly rate: 22% / 12 = 1.8333%
Step 2:First month: $5,000 × 0.018333 = $91.67 interest, so only $8.33 of the $100 pays down the balance
Step 3:n = -ln(1 - 0.018333 × 5,000 / 100) / ln(1.018333) = -ln(0.083333) / 0.018167
Step 4:n = 2.4849 / 0.018167 = 136.78 months
Step 5:Total paid: $100 × 136.78 = $13,677.91

Paid off in 137 months (11.4 years), paying $13,677.91 in all: $8,677.91 of it is interest, on a $5,000 balance. A minimum payment that shrinks as the balance falls takes longer still. The minimum payment is a trap designed to maximize the bank's profit.

Example 2: Aggressive Payoff

Same $5,000 balance at 22% APR, paying $500/month.

Step 1:n = -ln(1 - 0.018333 × 5,000 / 500) / ln(1.018333)
Step 2:n = -ln(1 - 0.18333) / ln(1.018333)
Step 3:n = -ln(0.81667) / 0.018167
Step 4:n = 0.20252 / 0.018167 = 11.15 months
Step 5:Total paid: $500 × 11.148 = $5,573.87

Paid off in about 11 months with $573.87 in interest: $8,104.04 less interest, and about 10.5 years sooner, than paying $100 a month.

Common Mistakes & Tips

  • !Making only minimum payments — this is financial quicksand. Always pay more than the minimum.
  • !Adding new charges while trying to pay off old debt. Stop using the card until it's paid off.
  • !Ignoring the APR. The rate matters enormously — consolidate to lower rates when possible.
  • !Paying smallest card first when one has much higher APR. Do the math — avalanche usually wins.

Related Concepts

Debt-to-Income Ratio

How banks evaluate your debt burden.

Simple Interest

Compare to the simple interest model.

Amortization

How loan payments work.

Used in These Calculators

Calculators that build on or apply the concepts from this page:

Loan Payment Calculator

Frequently Asked Questions

Should I pay off credit cards or save first?

After building a small emergency fund ($1,000), focus aggressively on high-interest debt. Credit card APR (20%+) is higher than any reliable investment return. Paying off 22% debt is equivalent to earning a guaranteed 22% return — better than any investment. Once high-interest debt is gone, build a full 3-6 month emergency fund, then invest.

Is avalanche or snowball better?

Mathematically, avalanche (highest rate first) saves more money. Psychologically, snowball (smallest balance first) works better for most people because of motivation. Research shows people on snowball plans are more likely to finish. The best method is the one you'll actually stick with — pick based on whether you're motivated by math or momentum.

Should I close paid-off credit cards?

Usually no. Closing cards hurts your credit score by: reducing total available credit (utilization goes up) and shortening average account age. Keep old cards open, use them occasionally for small purchases you pay immediately. Only close if there's an annual fee or you can't trust yourself not to use it.

Are balance transfer cards worth it?

Can be very valuable IF you have the discipline to pay off during the intro period. Clearing $5,000 at 22% APR in 15 months takes $384.29 a month and $764.39 in interest; a 15-month 0% offer with a 3% fee costs $150 instead, so it saves about $614. BUT: if you don't pay it off, the new rate is usually worse. Never transfer unless you have a concrete plan to pay off during 0% period.

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