Asian Handicap & Quarter-Line Converter

Convert two adjacent half-lines into synthetic Asian Handicap whole-line or quarter-line odds. Also calculate the correct stake split to recreate each market.

Side
Mid line
O1.5 odds
O2.5 odds
#Line Real odds Stake @ O1.5 Stake @ O2.5
O1.751.75£16.17£3.83
O2.01.87£12.35£7.65
O2.252.08£6.17£13.83
Total stake
£
Selected line O2.0
Full win
£37.45
@ real odds 1.87
At total = 2.0
£20.00
Push (refund)
Loss
£0.00
Full stake lost
Formulas
Notation
a = odds at (mid − 0.5)   b = odds at (mid + 0.5)   S = total stake
xa = stake on (mid − 0.5)   xb = stake on (mid + 0.5)   xa + xb = S
Synthetic odds — Over (push at total = mid)
Over (mid − 0.25) = (a + 1 + b·(a − 1)/a) / 2
Over (mid) = ((a − 1)·b + a) / a
Over (mid + 0.25) = (1 + b + b·(a − 1)/a) / 2
Synthetic odds — Under (push at total = mid)
Under (mid − 0.25) = (a + 1 + a·(b − 1)/b) / 2
Under (mid) = ((b − 1)·a + b) / b
Under (mid + 0.25) = (1 + b + a·(b − 1)/b) / 2
Stake split — Over
mid − 0.25 : xa = S·(a + 1)/(2a) · xb = S·(a − 1)/(2a)
mid (push) : xa = S/a · xb = S·(a − 1)/a
mid + 0.25 : xa = S/(2a) · xb = S·(2a − 1)/(2a)
Stake split — Under
mid − 0.25 : xa = S·(2b − 1)/(2b) · xb = S/(2b)
mid (push) : xa = S·(b − 1)/b · xb = S/b
mid + 0.25 : xa = S·(b − 1)/(2b) · xb = S·(b + 1)/(2b)

Converts two adjacent Asian Handicap or Goals half-lines into equivalent synthetic whole-line or quarter-line markets. The calculator also determines the correct stake split needed to recreate each market, making it useful for pricing markets with push outcomes or comparing bookmaker and Betfair Exchange prices.

Information only. Check all calculations before placing bets. Odds and market conditions may change. Bet Tools HQ accepts no responsibility for losses arising from reliance on these results.