In this guide
At its core, every prediction market trade hinges on a straightforward expected value calculation. Mastering this framework ensures you approach each position with clarity — you'll understand precisely what success rate you require, the odds needed to reach profitability, and your exact threshold for breaking even.
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 investment should NO resolve 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)
Suppose you commit $100 to YES at $0.40, and you assess the true probability at 55%:
- Win amount if YES: $150 (you collect $250 total, having risked $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 conviction BEFORE examining any trade
- Determine the break-even threshold (which equals the current market price)
- When your conviction exceeds break-even by a margin wider than the bid-ask spread: this signals a compelling opportunity
- When your conviction falls below break-even: explore purchasing NO shares as an alternative
- When your conviction aligns with break-even: pass — the edge isn't sufficient
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 — though practical limits cap any single position at 5% maximum
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram's trading interface displays your anticipated execution price, quantity of shares allocated, and maximum profit at settlement before you confirm. Performing your own EV analysis beforehand remains a prudent practice for trade validation.
- How do spreads affect the return calculation?
- Modify your entry price upward by incorporating half the spread width. When YES displays bid=0.38 and ask=0.42, your realistic entry point approximates 0.42 rather than 0.40.