Example 1: one balance at 18% nominal — three payments compared
| Outstanding balance | €3,000.00 |
|---|---|
| Yearly interest rate | 18% (nominal borrowing rate; example assumption) |
| Choice A – fixed payment per month | €50.00 |
| Choice B – fixed payment per month | €150.00 |
| Choice C – percentage payment | 3% of the balance, at least 25 (example assumption) |
| Choice A (50) – Debt-free after | 12 years, 11 months (155 months) |
|---|---|
| Choice A (50) – Total interest | €4,732.79 |
| Choice A (50) – Total paid | €7,732.79 |
| Choice A (50) – Last payment | €32.79 |
| Choice B (150) – Debt-free after | 2 years (24 months) |
| Choice B (150) – Total interest | €593.48 |
| Choice C (3%, min. 25) – Debt-free after | 10 years, 9 months (129 months) |
| Choice C (3%, min. 25) – First payment | €91.35 |
| Choice C (3%, min. 25) – Total interest | €2,433.75 |
The monthly rate is i = 18 / 1200 = 1.5%. In month 1, €3,000.00 attracts exactly €45.00 of interest. Choice A pays a fixed €50.00 — €45.00 of it goes on interest, so the balance barely falls: the card is only clear after 155 months, and about €4,732.79 of interest has built up — more than the original balance. Choice B pays €150.00 and is done after 24 months, with only about €593.48 of interest. Choice C starts at €91.35 (3% of €3,045.00); because the percentage payment shrinks with the balance and the €25.00 minimum takes over later, it takes 129 months and costs about €2,433.75 in interest. On these assumptions Choice B is cleared fastest. All figures are example assumptions.