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The Last Decimal / The duty
Up on one side, down on the other

The duty and the prize: two directions

A single published rules document can round one number up and another down, and the two directions are both defensible while producing the same one-way flow. This page puts a duty and a prize side by side.

Sample spec
stakes
5
prizes
3
duty
15%
collected
0.0335
the unitThe smallest amount the currency can express. In a two-decimal currency it is 0.01; the increment a stake must take is coarser and published per market.
the directionWhich way each rounding goes: down on a stake and a return, up on a duty and down on a prize. It is a rule, published, and it decides who keeps the fraction.
the volumeOne unit per event is nothing once and a figure at scale: on the samples, two thousand events of the same size retain 60.00 from the digits alone.
Direct answer

A duty is charged on the stake and rounded up to the unit, so it never under-collects; a prize is rounded down to the unit, so it never over-pays. On five invented stakes and three prizes from one rules document, the two directions collected 0.0335 between them, and neither rounding was a fee: each was simply the direction the rule chose.

Five stakes, three prizes

Both directions are ordinary in published rules. Read together, they are the clearest example of a point that is otherwise easy to miss: the direction of a rounding is a rule, and the same document can set it one way on the amount charged and the other way on the amount paid.

Sample G - a 15% duty rounded up on five stakes
StakeExact dutyChargedExcess
10.001.50001.500.0000
10.051.50751.510.0025
3.330.49950.500.0005
1.010.15150.160.0085
0.100.01500.020.0050
24.493.67353.690.0165
Sample G - three prizes rounded down on the same document
Exact prizePaidRetained
12.34512.340.005
7.9997.990.009
3.3333.330.003
23.67723.660.017
sample G - both directions in one figure duty rounded up: 3.69 - 3.6735 = 0.0165 more collected prizes rounded down: 23.677 - 23.66 = 0.0170 less paid the two together = 0.0165 + 0.0170 = 0.0335 in the house's favour across 8 events - from two rules that are each individually defensible.

The narrow point, and the wide one

The narrow point is that a 15% duty rounded up is not a 15% duty: on a stake of 0.10 it is 20% and on a stake of 10.00 it is exactly 15%. That is the same fixed-cost-per-event pattern as the conversion page, and it is worth seeing twice because the two cases look unrelated. The wide point is that a player who checks only the percentage, only the headline, or only one side of the equation will not see the direction at all. Both roundings are stated in the rules; neither is hidden; and the reason the sample exists is that a rule's direction is a fact the reader can find rather than a suspicion they have to carry.

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