Credit Card Payoff Guide: Minimums & Interest
Credit card debt is the most expensive debt most households carry — APRs of 20–28% are common, and interest compounds daily. Making only the minimum payment stretches repayment over decades and multiplies the original balance. This guide explains the math and the two payoff strategies that actually work.
Daily Compounding Interest
Interest is added to the balance each day, and the next day's interest is charged on that higher balance — that's the compounding.
Example: a $5,000 balance at 24% APR. Daily rate = 0.0658%, so day 1 interest = $3.29. After 30 days, you've added ~$100 in interest to the balance, and next month's interest compounds on $5,100.
The Minimum-Payment Trap
Minimum payments are typically 1–3% of the balance or $25–$35, whichever is greater. They're designed to keep you paying for years. On a $5,000 balance at 24%, the 2% minimum ($100) covers interest ($100/month) almost exactly — meaning almost nothing goes to principal.
$5,000 at 24% APR, paying only the 2% minimum: payoff takes ~25 years and total interest paid exceeds $8,000. The original $5,000 costs you over $13,000.
Even $25–$50 extra per month can cut years off the payoff and save thousands in interest.
Avalanche vs. Snowball
Two popular strategies for paying off multiple cards:
- Avalanche — pay the minimum on all cards, then throw every extra dollar at the highest-APR balance first. Mathematically optimal — saves the most interest.
- Snowball — pay the smallest balance first, regardless of rate. Psychologically motivating — quick wins keep you going.
Avalanche saves more money; snowball keeps more people committed. Pick the one you'll actually stick with.
Put It Into Practice
Enter your balance, APR, and what you can pay monthly to see how long payoff takes and how much interest you'll pay — then compare to a higher payment.
信用卡债务是大多数家庭所背负的最昂贵的债务——20–28% 的 APR 很常见，利息每日复利增长。仅按最低还款额还款会将还款周期延长至数十年，并使原始余额成倍增长。本指南解释了其中的数学原理以及两种真正有效的还款策略。
每日复利利息
利息每天都会加到余额上，第二天的利息则基于更高的余额收取——这就是复利效应。
示例：余额 $5,000，APR 为 24%。每日利率 = 0.0658%，因此第 1 天的利息 = $3.29。30 天后，您已向余额中累计了约 $100 的利息，下个月的利息将基于 $5,100 进行复利计算。
最低还款额陷阱
最低还款额通常为余额的 1–3% 或 $25–$35（取较高者）。它们的设计目的就是让你持续还款多年。以 $5,000 余额、24% APR 为例，2% 的最低还款额（$100）几乎刚好覆盖每月的利息（$100）——这意味着 几乎没有任何资金用于偿还本金。
$5,000 余额，24% APR，仅按 2% 最低还款额还款：需要 约 25 年才能还清，支付的总利息超过 $8,000。最初的 $5,000 最终会让你花费超过 $13,000。
即使每月仅多付 $25–$50，也可以将还款周期缩短数年，并节省数千美元的利息。
Avalanche（雪崩法）vs. Snowball（雪球法）
两种流行的多张信用卡还款策略：
- Avalanche（雪崩法） — 先偿还所有卡片的最低还款额，然后将每一分多余的钱都投入到 APR 最高 的余额上。从数学上讲最优——节省的利息最多。
- Snowball（雪球法） — 先偿还余额最小的卡片，不管利率如何。心理激励作用强——快速的胜利让你保持动力。
Avalanche 节省更多资金；Snowball 让更多人能够坚持下去。选择你真正能够坚持的方法。
付诸实践
输入您的余额、APR 以及您每月能支付的金额，查看需要多长时间才能还清以及需要支付多少利息——然后与更高的还款额进行比较。
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