Inputs: map the accepted line
DraftKings' soccer guide and Betfair's football rules provide current operator examples of handicap markets. A particular receipt remains governed by its own operator, event and market rules.
| Line type | States to model |
|---|---|
| Half line, such as -0.5 | Win or loss |
| Whole line, such as -1.0 | Win, push or loss |
| Quarter line, such as -0.25 | Two equal component stakes on 0 and -0.5 |
| Three-quarter line, such as -0.75 | Two equal component stakes on -0.5 and -1.0 |
Store team, home or away designation, handicap sign, line, accepted price, qualifying period, overtime treatment and final adjusted score. Reversing the sign or team creates a different event.
Worked quarter-line accumulator
Suppose an illustrative GBP 10 double contains Team A -0.25 at decimal 2.00 and a separate 1X2 selection at 1.80. The first leg splits into GBP 5 on Team A 0 and GBP 5 on Team A -0.5, with the second leg attached to both component doubles.
| Team A result | Second leg | Component outcome | Total gross return |
|---|---|---|---|
| Wins | Wins | Both component doubles win | GBP 36.00 |
| Draws | Wins | Handicap 0 pushes; -0.5 loses | GBP 9.00 |
| Loses | Wins | Both components lose | GBP 0 |
Under the illustrated push treatment and the current operator examples above, the draw row leaves GBP 5 * 1.80 = GBP 9 gross while the other GBP 5 component loses. Net result against the original GBP 10 stake is -GBP 1; full matching and no promotion are assumed.
Settlement and calculation sequence
- Split every quarter line into two component lines.
- Apply the official score and qualifying period.
- Settle each component as win, push or loss.
- Carry a pushed component at decimal 1.00 only where the accepted rules do so.
- Multiply the remaining live prices within each component multiple.
- Sum component gross returns and subtract total cash stake.
DraftKings' current soccer rules illustrate operator-specific pushes, handicaps and event settlement. Betfair's general rules also show why voids, caps and multiple-bet conditions must be checked.
Probability model
Estimate the probability of every handicap payoff state, including a push or half result, then apply OpenStax's expected-value framework. A win probability alone is insufficient for whole or quarter lines because the non-win states do not share one payoff.
Next step
Use Asian Handicap Explained for the next part of this topic.
Validation: quarter-line QA fixtures
Before release, settle one fixture for every adjusted-score boundary. For a -0.25 selection, test a win, draw and loss. For -0.75, test a win by two, a win by exactly one, a draw and a loss. Confirm the two component stakes always sum to the original stake.
| Check | Pass condition |
|---|---|
| Split | Exactly half the unit stake enters each adjacent line |
| Price | Both components retain the accepted product price unless rules state otherwise |
| Push | Only the pushed component becomes the documented neutral settlement |
| Return | Component gross returns sum to receipt gross return |
| Cash | Gross return minus original cash stake equals net result |
Keep split returns rather than collapsing half-win or half-loss into a binary label. A binary export discards the payoff needed for yield and expected-value calculations.
For multiple Asian legs, expand the Cartesian product of component lines. Two quarter-line legs create four component accumulators before any result is known, so use stable component IDs rather than manual notes.
Continue learning
- Next guide: BTTS Accumulators
- Related guide: BTTS and Win Accumulators
Assumptions and limitations
The worked double is illustrative. Asian handicap naming, split display, push treatment, rounding and eligibility vary by operator and jurisdiction, so retain the accepted contract and current rules.
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