In this guide
Every wager placed in a prediction market hinges on a fundamental expected value computation. Mastering these calculations ensures you approach each position with full clarity — you'll understand precisely what win rate you require, at what odds, and whether the numbers justify your capital commitment.
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 outlay if NO resolves instead
- Break-even probability: P (the quoted market price represents 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)
Consider a $100 position on YES quoted at $0.40, where you assess the true probability at 55%:
- Payout if YES materialises: $150 (you collect $250 total, having risked $100)
- Forfeiture if NO materialises: -$100
- EV = (0.55 × $150) - (0.45 × $100) = $82.50 - $45 = +$37.50 expected value
How to Use This in Practice
- Commit your probability assessment to paper BEFORE placing any trade
- Determine the break-even probability (which equals the market price)
- Should your estimate exceed break-even by more than the bid-ask spread: a compelling opportunity emerges
- Should your estimate fall below break-even: examine NO shares as an alternative
- Should your estimate align closely with break-even: abstain — the edge is insufficient
Position Size Calculator
Employing the half-Kelly approach: 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 observe the 5% per-position ceiling
FAQ
- Is there an automated calculator for prediction market trades?
- PolyGram's trading interface displays projected fill price, quantity of shares allocated, and maximum profit potential prior to order submission. Performing independent EV calculations beforehand remains a prudent analytical practice.
- How do spreads affect the return calculation?
- Incorporate the spread into your effective entry cost by adding one-half of the spread width. If YES carries a bid of 0.38 and an ask of 0.42, your realistic entry point sits around 0.42 rather than 0.40.