In this guide
Every trade on a prediction market hinges on a fundamental expected value calculation. Mastering this framework ensures you approach each position with clarity — you'll understand precisely what win rate you require, at what threshold your position turns profitable, and the underlying probability assumptions needed to succeed.
Basic Return Calculation
When you acquire 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 should NO resolve instead
- Break-even probability: P (the quoted market price doubles as your break-even threshold)
Worked 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)
Suppose you commit $100 to YES at $0.40, and 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
- Before committing capital, establish your probability estimate FIRST
- Determine the break-even probability (which equals the market price)
- If your estimate exceeds break-even by a margin larger than the spread: compelling buy opportunity
- If your estimate falls short of break-even: examine NO shares as an alternative
- If your estimate aligns with break-even: pass — the edge is insufficient
Position Size Calculator
Using 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 bankroll)
- Half Kelly: 21% of bankroll — nevertheless observe the 5% maximum per trade ceiling
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram's trading interface displays projected entry price, quantity of shares allocated, and expected return before you finalise the order. Performing your own EV analysis beforehand remains a prudent discipline.
- How do spreads affect the return calculation?
- Modify your actual entry price upward by incorporating half the bid-ask spread. Should YES trade with bid=0.38 and ask=0.42, your realistic entry sits closer to 0.42 rather than 0.40.