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Dutching

Splitting a total stake across all outcomes in proportion to their prices so every outcome returns the same amount.

To dutch two outcomes at decimal odds A and B with total stake S, stake S·(1/A)/(1/A+1/B) on the first and S·(1/B)/(1/A+1/B) on the second. If 1/A + 1/B is less than 1 the equal return exceeds S and the position is an arbitrage; if it is more than 1, dutching just spreads a losing position evenly.

Every book↔book card on ArbMonster is a dutching calculation: the two bet sizes shown are the proportional split of your sidebar stake, and the profit is the equal return minus the total staked.

Worked example

Odds 2.10 and 2.05, stake $1,000: 1/2.10 = 0.476, 1/2.05 = 0.488, sum 0.964. Stake $494 and $506. Either outcome returns $1,037 — a $37 profit (3.7%).

Measured on ArbMonster: Dutching calculator

Related terms: Arbitrage · Decimal odds · Surebet

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