In this guide
Every trade in a prediction market boils down to a straightforward expected value calculation. Master the mathematics and you'll never place a trade without clarity — you'll understand precisely what success rate you require, at which confidence threshold, and what minimum odds justify the risk.
Basic Return Calculation
When you purchase a YES share at price P:
- Win return: (1 - P) / P × 100% = your percentage gain should YES resolve affirmatively
- Loss: 100% of your initial outlay if NO resolves instead
- Break-even probability: P (the quoted market price doubles as your break-even threshold)
Examples:
- YES at $0.20: win = +400%, break-even = 20%
- YES at $0.50: win = +100%, break-even = 50%
- YES at $0.75: win = +33%, break-even = 75%
- YES at $0.90: win = +11%, break-even = 90%
Expected Value Formula
EV = (Your probability × Win amount) - ((1 - Your probability) × Stake)
Consider a $100 position on YES priced at $0.40, where you assess the true probability at 55%:
- Payout if YES resolves: $150 (you collect $250 total, having risked $100)
- Payout if NO resolves: -$100
- EV = (0.55 × $150) - (0.45 × $100) = $82.50 - $45 = +$37.50 expected value
How to Use This in Practice
- Establish your probability estimate BEFORE examining market prices
- Determine the break-even probability (identical to the current market quote)
- When your estimate exceeds break-even beyond the bid-ask spread: compelling buy opportunity
- When your estimate falls short of break-even: explore NO shares as an alternative
- When your estimate aligns closely with break-even: pass — the edge is too thin
Position Size Calculator
Applying half-Kelly: f = 0.5 × (bp - q) / b
- For a scenario where your p = 0.65, market = 0.40: b = 1.5, q = 0.35
- Full Kelly: (1.5 × 0.65 - 0.35) / 1.5 = 0.42 (42% of total capital)
- Half Kelly: 21% of total capital — always observe the 5% per-trade maximum regardless
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram's trading interface displays projected fill price, quantity of shares, and maximum return prior to you finalising the order. Performing your own EV analysis beforehand remains a best practice for informed decision-making.
- How do spreads affect the return calculation?
- Revise your entry price upwards by half the spread width. When YES carries a bid of 0.38 and ask of 0.42, your realistic entry sits around 0.42 rather than the midpoint of 0.40.