In this guide
Every prediction market trade boils down to a straightforward expected value calculation. Mastering this mathematics ensures you approach each position with clarity — you'll understand precisely what success rate you require, at what odds, and what threshold separates profit from loss.
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 capital if NO resolves instead
- Break-even probability: P (the market price itself represents 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)
Suppose you commit $100 to YES at $0.40, and you assess the true probability at 55%:
- Payout if YES: $150 (you receive $250 total, having risked $100)
- Payout if NO: -$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 break-even probability (which equals the market price)
- If your estimate exceeds break-even by more than the spread: strong buy opportunity
- If your estimate falls below break-even: evaluate NO shares as an alternative
- If your estimate aligns with break-even: pass — insufficient edge exists
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 — still enforce the 5% per position maximum
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram displays projected fill price, shares obtained, and maximum profit in the trade interface prior to execution. Independent EV analysis remains essential for evaluating opportunities beforehand.
- How do spreads affect the return calculation?
- Modify your effective purchase price by incorporating half the spread width. If YES trades with bid=0.38 and ask=0.42, your realistic entry point is approximately 0.42 rather than 0.40.