In this guide
Every trade in 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 accuracy rate you require, at what confidence threshold, and which probability thresholds yield profitability.
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 capital if NO resolves instead
- Break-even probability: P (the quoted market price reflects 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 quoted at $0.40, where you assess the true probability at 55%:
- Win amount if YES: $150 (you receive $250 total, having staked $100)
- Loss if NO: -$100
- EV = (0.55 × $150) - (0.45 × $100) = $82.50 - $45 = +$37.50 expected value
How to Use This in Practice
- Establish your probability assessment BEFORE examining any trade opportunity
- Determine the break-even threshold (equivalent to the market quote)
- When your assessment exceeds break-even by a margin wider than the bid-ask spread: compelling opportunity
- When your assessment falls below break-even: evaluate NO shares as an alternative
- When your assessment aligns with break-even: pass — insufficient advantage 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 cap at 5% per position rule
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram displays projected execution price, quantity of shares allocated, and maximum profit potential within the order confirmation screen prior to submission. Performing independent EV analysis beforehand remains a prudent step in your decision-making process.
- How do spreads affect the return calculation?
- Factor the spread into your effective entry price by incorporating half its width. When YES carries a bid of 0.38 and ask of 0.42, your realistic acquisition price approximates 0.42 rather than 0.40.