In this guide
Every prediction market trade 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 confidence level, and the threshold for 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 capital at risk if NO resolves
- Break-even probability: P (the quoted market price equals 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 deploy $100 on YES at $0.40, with your conviction at 55% likelihood:
- Payout if YES resolves: $150 (you collect $250 total, having risked $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 entering any position
- Determine break-even probability (which mirrors the market price)
- If your assessment exceeds break-even beyond the bid-ask spread: compelling opportunity
- If your assessment falls short of break-even: evaluate NO shares as an alternative
- If your assessment aligns with break-even: pass — insufficient margin of safety
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 — apply the practical 5% per-trade ceiling regardless
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram's trading interface displays projected entry price, share quantity, and terminal payout prior to execution. Running your own EV assessment beforehand remains a critical step in trade preparation.
- How do spreads affect the return calculation?
- Modify your effective entry price by incorporating half the spread width. If YES trades with bid=0.38, ask=0.42, your realistic entry sits around 0.42, not the midpoint of 0.40.