The 3-card stack: a worked example in dollars
Last updated: October 2, 2026 Card terms checked: September 2026
Three well-chosen cards, one for each job, can earn a household about $2,325 a year after fees, and between $4,755 and $5,287 in the first year once welcome bonuses count. The same spending on one flat 1.5% card earns about $918. This page shows every line of that math for a sample household, using the Category Earner, Travel Earner, and Catch-All roles from the card stack framework.
The example household is a labeled sample, not a personal result. Welcome offers vary by applicant and change often, so check each one with the issuer before applying. The strategy only works when every balance is paid in full each month.
The sample household
Spending is $5,100 a month, or $61,200 a year:
| Category | Monthly | Annual |
|---|---|---|
| Dining | $800 | $9,600 |
| Groceries | $600 | $7,200 |
| Travel booked direct | $1,200 | $14,400 |
| Gas | $200 | $2,400 |
| Everything else | $2,300 | $27,600 |
The three cards
| American Express Gold | Chase Sapphire Preferred | Citi Double Cash | |
|---|---|---|---|
| Role | Category Earner | Travel Earner | Catch-All |
| Annual fee | $325 (about $85 net after $120 Uber Cash and $120 dining credit) | $95 (covered by up to a $100 Chase Travel hotel credit) | $0 |
| Earning rates | 4x restaurants worldwide (up to $50,000 a year); 4x U.S. supermarkets (up to $25,000 a year); 3x flights booked direct or through Amex Travel; 1x everything else | 5x Chase Travel; 3x dining, select streaming, online groceries, gas and EV charging; 2x other travel; 1x everything else | 2% on everything (1% when you buy, 1% when you pay) |
| Points | Amex Membership Rewards | Chase Ultimate Rewards | Cash back paid as Citi ThankYou points |
| Welcome offer used | 60,000 points (offers vary; up to 100,000 have been shown) | 75,000 points after $5,000 in 3 months | Not counted |
Two notes on the Gold. Walmart, Target, and warehouse clubs do not count as supermarkets for its 4x rate. Its Resy and Dunkin' credits are left out of the math, because a credit you have to go out of your way to use is not worth its face value.
The annual math
Points are valued at 1.8 cents each:
| Category | Annual spend | Card | Rate | Points or cash | Value |
|---|---|---|---|---|---|
| Dining | $9,600 | Amex Gold | 4x | 38,400 | $691 |
| Groceries | $7,200 | Amex Gold | 4x | 28,800 | $518 |
| Travel booked direct | $14,400 | Sapphire Preferred | 2x | 28,800 | $518 |
| Gas | $2,400 | Sapphire Preferred | 3x | 7,200 | $130 |
| Everything else | $27,600 | Citi Double Cash | 2% | n/a | $552 |
| Total | $61,200 | $2,410 |
Two point values, one result
| Conservative (1.8 cents for both) | The Points Guy, September 2026 (2.0 cents Amex, 2.05 cents Chase) | |
|---|---|---|
| Ongoing rewards, before fees | $2,410 | $2,634 |
| Effective annual fees | -$85 | -$85 |
| Ongoing value, year two on | $2,325 | $2,549 |
| Welcome bonuses (60,000 Amex and 75,000 Chase points) | $2,430 | $2,738 |
| Year one total | $4,755 | $5,287 |
Compared with the $918 a flat 1.5% card earns on the same spending, the stack is ahead by about $1,400 a year after year one, plus the welcome bonuses in year one.
Mistakes to avoid when copying this
- Applying to all three at once. Space applications out. See the Chase 5/24 rule.
- Spending to hit a minimum. The bonus numbers above only count if normal spending covers the requirement.
- Cashing points out at a low rate. Amex statement credits are worth about 0.6 cents per point. See what a point is worth.
- Carrying a balance. Interest outweighs every figure on this page.
Run it with your own numbers
The free rewards calculator takes your spending and your current cards and shows what you earn now, the best stack for your spending, and the gap.
Cards mentioned
- American Express Gold (issuer terms)
- Chase Sapphire Preferred (issuer terms)
- Citi Double Cash (issuer terms)