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Arbitrage betting: how it works, what it pays and why every account ends up limited

Back every outcome at different bookmakers whose prices together add up to less than 100 percent and the result is a profit whatever happens. Real, legal, small and exhausting; here is the arithmetic and the catch.

Key points

  • An arbitrage exists when the implied probabilities across bookmakers sum to less than 100 percent; the profit is the gap.
  • Typical margins are one to three percent, on capital tied up for hours or days, with the risk of a voided leg.
  • Bookmakers detect it within days and limit the account; the exchange and the Asian bookie do not.

The arithmetic

Two-outcome market: Operator A prices the home side at 2.10, Operator B prices the away side at 2.05. Implied probabilities: 47.6 + 48.8 = 96.4 percent. The 3.6 percent gap is the arbitrage. Stake in proportion to the implied probabilities: 494 on the home side at A, 506 on the away side at B, 1,000 in total; either outcome returns about 1,037. Profit: 37 on 1,000, whatever happens.

The formula. Sum of (1 / odds) across the outcomes, using the best price for each. Below 1, an arbitrage exists and the profit margin is 1 minus the sum. Stake on each outcome = total stake x (1 / odds) / sum. Three-way markets work the same way with three legs; in practice most arbitrages are two-way, on handicaps, totals and tennis.

Where they come from

From slow bookmakers. A European brand that prices from the Asian market with a delay, a promotion that boosts one side, an operator that has not moved a line after team news: for a few minutes its price and a sharp book’s price on the other side add up to less than 100. Software scans hundreds of bookmakers and lists the pairs; the opportunities last minutes and are shared with everyone else running the same software.

What it pays

One to three percent per arbitrage, on capital that must sit in several accounts, with a few hours’ work a day. A bettor with 10,000 spread across ten bookmakers, finding three arbitrages a day at 2 percent on 1,000 each, makes 60 a day before the costs below. It is a job, paid modestly, with a short career.

The risks

  • The line moves. You place the first leg, the second price disappears, and you hold a single bet at a price that was only good as half of a pair.
  • A leg is voided. The bookmaker cancels an obvious error price under its palpable-error rule, or a tennis retirement is settled differently at the two operators; you are left with one live bet.
  • Different rules. Overtime included at one operator and not the other; one-set versus completed-match settlement in tennis; a postponed match voided at one and stood at the other.
  • Stake limits. The second operator accepts only 40 of your 506 and the position is unbalanced.
  • Capital and cash flow. Money spread across accounts, withdrawn slowly, sometimes frozen for verification at the moment you need it.

The catch

Bookmakers see arbitrage instantly: bets at maximum stake on odd amounts at prices that move against them within minutes. Accounts are limited to token stakes within days at the European brands and the sportsbooks, which ends the career at each operator in turn. The Asian bookie and the exchange do not limit; they are the fixed side of most arbitrages, with the slow bookmaker on the other, and the slow bookmaker is the one that closes the door.

Is it legal?

Entirely, everywhere: it is placing bets at the prices offered. It breaks no law and most bookmakers’ terms do not forbid it; they simply reserve the right to limit any account, and they use it. Winnings are paid. The only illegal version is the one that uses other people’s accounts to keep going, which is fraud.

Frequently asked questions

How much can I make from arbitrage?

One to three percent per opportunity, with capital and time; a modest income for a short period.

Will I get limited?

At bookmakers, within days or weeks; at exchanges and Asian bookies, no.

What is the biggest risk?

A voided or differently settled leg that leaves you with a single bet.

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