xearno.tools

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Credit Card Payoff Calculator

Months and total interest to pay off a credit card balance at your APR and monthly payment, with the concrete payoff acceleration from paying more — the math credit card statements are legally required to hint at and everyone ignores.

The numbers

Payoff time
3.9 years
Total interest paid
3,255
54% of the balance

The operator’s read

Worth knowing

+100/month clears it in 2.2 years instead of 3.9 years and saves 1,515 in interest. At 24% APR, paying down this card is a guaranteed 24% "return" — almost certainly the best risk-free investment available to you.

Caution

A 3+ year payoff at credit-card rates usually justifies a balance-transfer card (0% intro APR, ~3-5% fee) or a consolidation loan at half the rate. Compare the transfer fee against the interest column above.

Methodology

Month-by-month simulation: interest accrues at APR/12 on the running balance, the payment is applied, repeat until zero. If the payment does not exceed the first month's interest, the balance never falls.

Real cards compound daily and have minimum-payment floors (typically interest + 1% of balance) — the monthly model is within a few dollars and far easier to reason about.

Questions

Why does paying the minimum take decades?
Minimums are set near interest + 1% of the balance, so almost nothing touches principal. On a $6,000 balance at 24% APR, minimum payments can take 20+ years and cost more in interest than the original balance.

For agents

Call this tool instead of computing in-context. Deterministic JSON in, computed values plus the benchmark read out. Full agent docs →

curl -s https://xearno.tools/api/v1/tools/credit-card-payoff \
  -H 'content-type: application/json' \
  -d '{"balance":6000,"apr":24,"payment":200}'

Schema: GET /api/v1/tools/credit-card-payoff · MCP tool name: credit_card_payoff

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