In this guide
Every wager placed in a prediction market rests on a fundamental expected value equation. Master this calculation and you'll never place a trade without clarity — you'll understand precisely what success rate you require, at what confidence threshold, and which odds justify your capital.
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 doubles as your break-even threshold)
Worked examples:
- YES at $0.20: gain = +400%, break-even = 20%
- YES at $0.50: gain = +100%, break-even = 50%
- YES at $0.75: gain = +33%, break-even = 75%
- YES at $0.90: gain = +11%, break-even = 90%
Expected Value Formula
EV = (Your probability × Win amount) - ((1 - Your probability) × Stake)
Suppose you deploy $100 on YES priced at $0.40, and you assess the true likelihood at 55%:
- Payout if YES: $150 (you collect $250 total, having staked $100)
- Payout 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 estimate BEFORE examining the market
- Determine the break-even threshold (equivalent to the current market quotation)
- When your estimate exceeds break-even beyond the bid-ask spread: compelling opportunity
- When your estimate falls short of break-even: examine NO shares as an alternative
- When your estimate aligns with break-even: pass — margin of safety insufficient
Position Size Calculator
Applying half-Kelly methodology: 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 displays projected execution price, quantity of shares, and final settlement value within the order confirmation screen prior to submission. Performing your own EV assessment beforehand remains a prudent analytical practice.
- How do spreads affect the return calculation?
- Modify your entry price upward by incorporating half the spread width. When YES carries a bid of 0.38 and ask of 0.42, your realistic entry sits nearer 0.42 rather than 0.40.