Compound Interest on Debt — How It Works Against You
When Compounding Works Against You
The same exponential force that grows investments destroys borrowers. On debt, compound interest means you pay interest on interest — the balance snowballs upward.
Credit Card Math: A Real Example
$5,000 balance at 24% APR (compounded daily), minimum payments only:
| Year | Balance | Interest Paid That Year |
|---|---|---|
| 0 | $5,000 | — |
| 1 | $5,986 | $1,193 |
| 2 | $7,039 | $1,407 |
| 3 | $8,132 | $1,638 |
| 5 | $10,616 | $2,169 |
| 10 | $16,309 | — |
If you paid only the minimum (~2% of balance), you’d pay over $12,000 in interest on a $5,000 purchase. The total cost: $17,000+.
The Daily Compounding Trap
Credit cards compound daily (n=365). At 24% APR:
- Daily rate: 24% ÷ 365 = 0.0657% per day
- Monthly effective rate: ~2.02%
- APY: 27.11% (not just 24%!)
That daily compounding turns a 24% APR into a real cost of over 27%.
Debt vs Investment: The Asymmetry
| Investment | Credit Card Debt | |
|---|---|---|
| Rate | ~7-10% | 18-29% |
| Compounding | Monthly | Daily |
| Works for | You | The bank |
Paying off a 24% credit card is equivalent to earning a guaranteed 24% return — better than any investment.
Priority Order for Debt
- Pay minimums on everything to avoid penalties
- Attack highest-rate debt first (avalanche method)
- Never carry a credit card balance if you can avoid it
- Only invest after high-interest debt is eliminated
The Bright Side
Once debt is gone, redirect those payments to investments. The same $500/month that was going to credit card payments, invested at 7% for 30 years, becomes $610,000.
Calculate exactly how long it takes to pay off your debt — and what happens after — with our compound interest calculator.
Frequently Asked Questions
Do credit cards use compound interest? ▾
Yes. Most credit cards compound daily on your outstanding balance. At 24% APR compounded daily, interest is charged on previously accrued interest every single day.
How fast does credit card debt double? ▾
At 24% APR, debt doubles in 3 years (Rule of 72: 72 ÷ 24 = 3). A $5,000 balance becomes $10,000 in 3 years if you make no payments.