PointCents

Guides · Valuation

The Fare Your Points Have to Beat

The cents-per-point formula run backwards, for the decision you actually face before booking. One threshold per published valuation, because a single break-even fare hides its assumption inside a dollar figure.

Score a booking afterwards, or decide before it

Cents per point is a backward-looking measure. It tells you what a redemption returned once you know the fare you gave up. That is useful for learning, and useless at the moment you are actually staring at an award screen — because at that moment you do not have a verdict, you have a decision.

So turn the formula around. Instead of asking what your points returned, ask what the cash fare would have to cost before redeeming beats paying. That number is a threshold you can check against the fare in the other browser tab, and it is the same arithmetic solved for a different variable:

break-even fare = (cash paid on award + points × baseline ÷ 100) ÷ (1 − earn rate)

With the earn rate at zero it collapses to cash paid + points × baseline ÷ 100, which is arithmetic you can do on a phone. The ÷ (1 − earn rate) adds the forgone-earning term: because paying cash earns rewards and redeeming does not, the fare has to clear a higher bar before redeeming actually wins.

There is no single break-even fare

The formula needs a baseline, and this site does not believe a single baseline exists. So the output is one threshold per published figure. For 57,500 American Airlines AAdvantage miles plus $5.60 in cash:

BaselinePublished byFare neededCounting 7% earning
1.40¢The Points Guy, Upgraded Points$810.60$871.61
1.70¢CardRatings$983.10$1,057.10

That is a $172.50 spread in the required fare — $185.48 once earning is counted — produced entirely by publishers disagreeing about the same mile. Not by anything about your trip.

A single break-even number would have hidden that, and hiding it inside a dollar figure is worse than hiding it inside a cents-per-point figure. A reader who sees “1.40¢” at least knows a contestable assumption is in play. A reader who sees $810.60” sees something that looks like a fact about their booking. Why the publishers disagree is its own subject — we take it apart here.

Using a band instead of a number

Look up the real fare, then place it against the thresholds. Three outcomes, and all three are actionable:

  • Above every threshold — here, a fare over $1,057.10. Redeeming wins on the money by any published standard. Book it.
  • Below every threshold — under $871.61. Paying cash wins by all of them. Keep the miles.
  • Inside the band — between $871.61 and $1,057.10. The money is genuinely arguable, and the answer depends on which publisher's method describes how you actually travel. This is where most real bookings land, and it is a real answer rather than a failure to produce one.

The site's own example fare is $1,043.20, which clears 1 of the 2 earning-adjusted bars — so it sits inside the band. Which is the same verdict the award vs cash calculator reaches from the opposite direction, on the same booking.

Two practical notes. Compare against the fare you would genuinely have bought — same dates, same route, same cabin, at its all-in checkout price; a threshold beaten only by a business-class fare you would never pay has not been beaten. And put every cash charge on the award into the fees field: taxes, the security fee, carrier surcharges, resort fees. Those raise the bar, because they are money you are spending on top of the points.

Informational only, not professional advice. This guide explains arithmetic on figures you supply and cites published third-party estimates. It does not check award availability or fare rules, and it recommends no credit card or loyalty program.

The check that makes this falsifiable

A reversed formula is easy to get subtly wrong, and a subtly wrong threshold is invisible — it just quietly gives bad advice at the moment someone is spending 57,500 miles. So the inverse is not trusted on inspection; it is round-tripped.

Take the 1.40¢ threshold above, $810.60. Feed that fare back through the plain cents-per-point formula with the same miles and fees and it must return the baseline it came from — 1.40¢, against the 1.40¢ we started with.

That identity is asserted across a grid of point totals, baselines, fees and earn rates by lib/break-even-fare.test.mjs, which runs as npm run check:math before any change to the engine is committed. It also round-trips through the award-versus-cash helper, so the forgone-earning path is pinned the same way. If any of the four calculators on this site drifted apart, that check would fail rather than the pages quietly disagreeing with each other.

What it cannot check is whether 1.40¢1.70¢ is the right range for American Airlines AAdvantage. That is somebody's published opinion, three of them in fact, and it is why every figure here carries a name and a date instead of standing alone.

Sources

Last reviewed: July 2026

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