In this guide
Every trade in a prediction market hinges on a simple expected value computation. Mastering this calculation ensures you approach each position with full clarity — you'll know precisely what success rate you require, at what odds, and the minimum probability threshold needed to avoid losses.
Basic Return Calculation
When you purchase 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 equals your break-even threshold)
Illustrations:
- 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 occurs: $150 (you receive $250 total, having wagered $100)
- Outcome if NO occurs: -$100
- EV = (0.55 × $150) - (0.45 × $100) = $82.50 - $45 = +$37.50 expected value
How to Use This in Practice
- Establish your own probability estimate BEFORE examining any trade
- Determine the break-even probability (which mirrors the market price)
- When your estimate exceeds break-even by more than the bid-ask spread: compelling buy opportunity
- When your estimate falls below break-even: explore NO shares as an alternative
- When your estimate approximates break-even: pass — insufficient advantage exists
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 — nevertheless apply a maximum of 5% per individual position
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram displays projected execution price, quantity of shares, and maximum return directly within the trading interface prior to order submission. Performing your own EV assessment beforehand remains a prudent analytical practice.
- How do spreads affect the return calculation?
- Incorporate the spread into your effective entry cost by adding half its width. Should YES trade with bid=0.38 and ask=0.42, your realistic entry point approximates 0.42 rather than 0.40.