How the cash vs credit card math works
The comparison has three moving parts, and only three. The card earns rewards on what you spend: annual rewards are 12 × monthly spending × the rewards rate. The card charges interest on what you carry: annual interest is the carried balance × the APR, simple interest on the balance held all year. And the card may charge an annual fee. Card net is rewards minus fee minus interest. Cash has no rewards, no interest, and no fee, so cash net is always $0. Whichever net is higher wins, and the difference is the size of the win. Two extra numbers make the decision sharp: the break-even carried balance, where interest exactly eats rewards minus fee, and the break-even rewards rate, the rate the card would need to cover the fee plus the interest on the balance you carry.
At the defaults the card wins easily: $1,500 a month at 2% is $360.00 of rewards a year, with no fee and no carried balance, so the card nets +$360.00 against cash at $0.00. But the win is fragile, because interest is charged at roughly twelve times the rewards rate: 24.99% APR against a 2% rewards rate. Every dollar carried costs about twelve times what a dollar spent earns. That is why the whole question turns on one habit — whether you pay in full.
The worked example, line by line
Setup: monthly spending $1,500.00; rewards rate 2%; annual fee $0.00; carried balance $0.00; card APR 24.99%.
Line 1 — annual rewards. 12 × $1,500.00 × 2% = $360.00.
Line 2 — annual interest. $0.00 × 24.99% = $0.00.
Line 3 — card net. $360.00 − $0.00 − $0.00 = +$360.00.
Line 4 — cash net. No rewards, no interest, no fee = $0.00.
Line 5 — the winner. +$360.00 beats $0.00, so the credit card wins by $360.00 a year.
Line 6 — the flip. Break-even carried balance = ($360.00 − $0.00) / 0.2499 = $1,440.58. Carry more than that and cash wins.
Line 7 — the reverse. With no balance carried and no fee, the break-even rewards rate is 0.00% — any positive rewards rate wins. Carry $1,500 at 24.99% and the rate needed is 2.08% (interest $374.85 / $18,000 of annual spending).
Every branch, checked
Carry $1,000 at 24.99% APR: interest is $249.90, so card net is $360.00 − $249.90 = +$110.10 — the card still wins, by $110.10. A four-figure balance eats two-thirds of the rewards but not all of them.
Carry $2,500 at 24.99% APR: interest is $624.75, so card net is $360.00 − $624.75 = −$264.75 — cash wins by $264.75. Once the balance passes $1,440.58, every extra dollar carried is pure loss.
$95 annual fee, 2% rewards, no balance: card net is $360.00 − $95.00 = +$265.00 — the card still wins by $265.00. A fee only bites when the rewards are small or a balance is carried too.
1% flat rewards, no fee, no balance: rewards are 12 × $1,500 × 1% = $180.00 — the card wins by $180.00. Even the plainest 1% card beats cash when you pay in full.
5% on a $300-a-month category plus 1% on the other $1,200 a month: the category earns $300 × 12 × 5% = $180.00 and the rest earns $1,200 × 12 × 1% = $144.00, for total rewards of $324.00 a year — less than flat 2% on everything, because only a fifth of the spending gets the high rate.
Reverse — the 2.08% break-even rate: carry $1,500 at 24.99% and interest is $374.85. To cover that with no fee, the card needs a rewards rate of $374.85 / $18,000 = 2.08%. A 2% card loses by a hair at that balance; a 2.5% card wins.
Flip — the $1,440.58 break-even balance: at 2% rewards, $0 fee, and 24.99% APR, the balance where interest exactly eats the $360.00 of rewards is $360.00 / 0.2499 = $1,440.58. Below it the card wins; above it cash wins.
What the defaults assume
Rewards are calculated on all spending at one flat rate, with no caps, no rotating categories, and no sign-up bonus; real cards often pay more on some categories and less on others, and a big sign-up bonus can dwarf a whole year of rewards. Interest is simple interest on the carried balance held all year: real cards charge interest on the average daily balance, and new purchases can lose their grace period when you carry a balance, so real interest is usually higher than the number here. The carried balance is treated as constant; a balance that grows or shrinks through the year changes the interest. Cash discounts and card surcharges are not in the model: a store that charges 3% extra for cards or gives 3% off for cash changes the answer directly. Taxes are ignored: cash-back rewards are generally not taxed, and interest is not deductible. Rounding convention: money is rounded to cents and all figures are computed from unrounded values, rounded only for display.
Output · formula · meaning
| Output | Formula | What it means |
| Annual rewards | 12 × monthly spending × rewards rate | $360.00 a year at the defaults. |
| Annual interest | carried balance × APR | $0.00 a year — no balance carried. |
| Card net | rewards − fee − interest | +$360.00 a year at the defaults. |
| Cash net | always $0 | $0.00 — cash earns nothing and costs nothing. |
| Winner by | |card net − cash net| | $360.00 a year — the card wins. |
| Carry $1,000 | same math, $1,000 carried | $249.90 interest; card net +$110.10. |
| Carry $2,500 | same math, $2,500 carried | $624.75 interest; card net -$264.75. |
| $95 fee | rewards − $95 | +$265.00 — card still wins. |
| 1% flat | 12 × $1,500 × 1% | +$180.00 — card still wins. |
| 5% category | $180.00 + $144.00 | $324.00 a year of rewards. |
| Break-even balance | (rewards − fee) / APR | $1,440.58 — carry more and cash wins. |
| Break-even rate | (fee + interest) / annual spending | 0.00% at the defaults; 2.08% with $1,500 carried. |
Who uses this
- The pay-in-full cardholder: spends $1,500 a month and learns the card earns $360.00 a year for free — so the card is strictly better than cash, and the only job is never carrying a balance.
- The balance carrier: carries $2,500 at 24.99% and learns the card costs $264.75 a year after rewards — so paying the balance down beats chasing a better rewards rate, and cash wins until the balance is gone.
- The premium-card shopper: is eyeing a $95-a-year card and learns it still nets +$265.00 at 2% with no balance — so the fee pays for itself at this spending level, and the real question is whether the perks are worth $95 on top.
- The small spender: spends $300 a month at 2% and learns the card earns $72.00 a year — so the card still wins, but a $95 fee would flip it to a $23.00 loss, and cash wins until the spending rises.
Accuracy & limitations
The math is exact for the numbers you enter: annual rewards are 12 × monthly spending × the rate, annual interest is the carried balance × the APR, card net is rewards minus fee minus interest, and the break-even balance and rate are the two equations solved in the other direction. But the model is simplified on purpose. Real cards charge interest on the average daily balance, not a flat annual balance, and new purchases may lose their grace period when you carry a balance, so real interest is usually higher than this calculator shows. Rewards often exclude some categories, cap the high rate, or pay out as points worth less than their face value. Cash discounts and card surcharges vary by merchant and are not in the model: a 3% card surcharge at your usual store beats a 2% rewards rate. A sign-up bonus is not included and can dwarf a year of ordinary rewards. Read the cash vs credit card guide for the full picture.
Cite this calculatorBright Side Kit. “Cash vs Credit Card Calculator: Rewards vs Interest.” brightoolbox.com, 2026. Method: annual rewards = 12 × monthly spending × rewards rate; annual interest = carried balance × APR; card net = rewards − annual fee − interest; cash net = $0; break-even carried balance = (rewards − fee) / APR; break-even rewards rate = (fee + interest) / annual spending. Defaults: $1,500/month, 2% rewards, $0 fee, $0 carried balance, 24.99% APR → rewards $360.00, interest $0.00, card net +$360.00, card wins $360.00 a year; carry $1,000 → interest $249.90, card net +$110.10; carry $2,500 → interest $624.75, card net −$264.75; $95 fee → card net +$265.00; 1% flat → +$180.00; 5% on $300/mo + 1% on $1,200/mo → $324.00; break-even balance $1,440.58; break-even rate 2.08% with $1,500 carried. No external data needed — all math is from the inputs.Bright Side Kit. "Cash vs Credit Card Calculator: Rewards vs Interest" https://brightoolbox.com/cash-vs-credit-card/ Accessed October 24, 2026.
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