In this guide
Every prediction market trade hinges on a straightforward expected value calculation. Grasping this mathematical foundation ensures you approach each position with clarity — you'll understand precisely what success rate you require, at what odds, and which probability threshold separates profit from loss.
Basic Return Calculation
For a YES share acquired at price P:
- Win return: (1 - P) / P × 100% = your percentage gain should YES resolve affirmatively
- Loss: 100% of your capital at risk if NO resolves instead
- Break-even probability: P (the quoted market price 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)
Consider a $100 position on YES priced at $0.40, where you estimate the true probability at 55%:
- Payout if YES resolves: $150 (you receive $250 total, having invested $100)
- Outcome if NO resolves: -$100
- EV = (0.55 × $150) - (0.45 × $100) = $82.50 - $45 = +$37.50 expected value
How to Use This in Practice
- Document your probability assessment BEFORE executing any trade
- Determine the break-even probability (equivalent to the market price)
- When your estimate exceeds break-even by more than the bid-ask spread: strong buy opportunity
- When your estimate falls below break-even: evaluate NO shares as the alternative
- When your estimate aligns with break-even: pass — insufficient edge exists
Position Size Calculator
Applying half-Kelly sizing: f = 0.5 × (bp - q) / b
- For a scenario where your p = 0.65, market quotes = 0.40: b = 1.5, q = 0.35
- Full Kelly allocation: (1.5 × 0.65 - 0.35) / 1.5 = 0.42 (42% of total bankroll)
- Half Kelly allocation: 21% of total bankroll — still subject to the 5% per-position maximum rule
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram displays projected fill price, quantity of shares allocated, and settlement proceeds within the order confirmation screen prior to submission. Independent EV computation remains essential for thorough pre-execution due diligence.
- How do spreads affect the return calculation?
- Revise the effective acquisition price by incorporating half the spread width. Should YES display a bid of 0.38 and ask of 0.42, your realistic entry point approximates 0.42 rather than 0.40.