Overround and margin: what a sportsbook really keeps on two-way

Economics

Priced at 1.91, 1.91, the market has an overround of 4.71%, and a book that takes money in proportion keeps 4.50% of all stakes.

Defining Overround and Margin

The lead sentence establishes the baseline for a symmetric two-way market. As the key figures show, the overround exceeds the margin retained by a balanced book. The table below lists the quoted odds, implied probabilities, and calculated fair odds for both outcomes. This distinction matters because the overround reflects the sum of implied probabilities, while the margin represents the actual profit secured when stakes are evenly distributed. Traders use these metrics to assess pricing efficiency. The quoted odds in the table are illustrative examples of the formula, not market averages. For broader context on industry standards, see the regulation tracker.

Quoted and fair odds, margin removed in proportion
OutcomeQuoted oddsImplied probabilityFair odds
Outcome 11.9152.4%2.00
Outcome 21.9152.4%2.00

Calculating Fair Odds

Fair odds are derived by removing the margin proportionally from the quoted prices. In the example provided, the fair odds for both outcomes are higher than their quoted counterparts. This adjustment ensures the probabilities sum to unity without the operator's cut. The table above demonstrates this relationship clearly. When fair odds exceed quoted odds, the difference represents the embedded margin. This calculation allows traders to compare the true probability of an event against the price offered. It provides a neutral benchmark for evaluating whether a specific price offers value relative to the underlying likelihood.

Balanced Books in Practice

A perfectly balanced book is an idealisation. In reality, books are rarely balanced, causing actual hold to differ from the priced margin. The figures in the table represent a theoretical scenario where stakes are perfectly distributed. Real-world deviations mean the retained profit may vary. Traders monitor these discrepancies to adjust pricing dynamically. The goal is to minimise risk while maintaining competitive odds. By comparing the theoretical margin against actual performance, operators can refine their models. This process ensures that pricing remains attractive to players while securing necessary revenue for the business.

Questions

Why are fair odds higher than quoted odds?

Fair odds remove the operator's margin from the quoted price. This adjustment normalises the probabilities to sum to unity, providing a neutral benchmark for comparison.

Does a balanced book guarantee profit?

No. A balanced book is an idealisation. Real books often have uneven stakes, causing actual hold to differ from the theoretical margin shown in calculations.

How is the margin calculated?

The margin is the portion of stakes retained by the operator. It is derived by comparing the sum of implied probabilities against unity, as shown in the key figures.

Every figure on this page is computed by code from standard industry formulas and the facts of our regulation tracker, each checked a second way. See the methodology.

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