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.
- stakes
- 5
- prizes
- 3
- duty
- 15%
- collected
- 0.0335
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.
| Stake | Exact duty | Charged | Excess |
|---|---|---|---|
| 10.00 | 1.5000 | 1.50 | 0.0000 |
| 10.05 | 1.5075 | 1.51 | 0.0025 |
| 3.33 | 0.4995 | 0.50 | 0.0005 |
| 1.01 | 0.1515 | 0.16 | 0.0085 |
| 0.10 | 0.0150 | 0.02 | 0.0050 |
| 24.49 | 3.6735 | 3.69 | 0.0165 |
| Exact prize | Paid | Retained |
|---|---|---|
| 12.345 | 12.34 | 0.005 |
| 7.999 | 7.99 | 0.009 |
| 3.333 | 3.33 | 0.003 |
| 23.677 | 23.66 | 0.017 |
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.
- Read the duty's rounding direction: rounded up on a small stake can be several percentage points above the headline rate.
- Read the prize's rounding direction separately; the two do not have to match and on sample G they did not.
- On a very small stake, check whether the minimum duty exceeds the stake's own fraction - a 0.10 stake carried 0.02 of duty on sample G.
- Do not assume the duty applies to the return rather than the stake; read which figure it is charged on.
- Where a prize can be paid in more than one form, remember each form carries its own rounding.