Exchange Ladder
Build Exchange betting ladders at better odds while staying aligned with your target position. Also calculate the stake required for each additional order.
| # | Odds ◀ | Stake added ◀ | Blended real odds ◀ | Blended Kelly ◀ | Total stake ◀ |
|---|---|---|---|---|---|
| 0 | 2.18 | £6.76 | 2.16 | 6.76% | £6.76 |
| 1 | 2.38 | £0.48 | 2.17 | 7.25% | £7.25 |
| 2 | 2.40 | £0.13 | 2.17 | 7.38% | £7.38 |
| 3 | 2.42 | £0.47 | 2.19 | 7.85% | £7.85 |
| 4 | 2.44 | £0.12 | 2.19 | 7.97% | £7.97 |
| 5 | 2.46 | £0.45 | 2.20 | 8.43% | £8.43 |
| 6 | 2.48 | £0.11 | 2.21 | 8.54% | £8.54 |
| 7 | 2.50 | £0.44 | 2.22 | 8.98% | £8.98 |
| 8 | 2.52 | £0.11 | 2.22 | 9.09% | £9.09 |
| 9 | 2.54 | £0.43 | 2.23 | 9.51% | £9.51 |
| 10 | 2.56 | £0.10 | 2.24 | 9.61% | £9.61 |
Formulas
Let p = win prob, c = exchange commission, O = nominal odds. Real (commission- adjusted) odds in the back-equivalent framework:
- • Sportsbook:
Or = O - • Exchange Back:
Or = (O − 1)(1 − c) + 1 - • Exchange Lay (uses
p' = 1 − p):Or = 1 + (1 − c) / (O − 1)
Each leg's Kelly fraction at real odds Or:f = (p · Or − 1) / (Or − 1), total stake T = K · f (K from your Kelly settings).
For each new tick we solve T_new so that the combined position satisfies the Kelly closureT = K · (p · Br − 1) / (Br − 1), where Br is the blended real odds of all legs (locked legs + this one). The additional stake is T_new − T_prev. For Lay the same algebra runs on the equivalent back-on-opposite and the lay stake is liability / (O − 1).
Odds step along the Betfair tick ladder (1.01, …, 2.00, 2.02, …) — up for Back-style, down for Lay.
Helps build Exchange Back or Exchange Lay ladders by calculating the additional stakes required at better odds while maintaining your desired overall position. Useful for placing multiple unmatched orders as the market moves without drifting away from your target staking strategy.
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.