How do I calculate expected value (EV) for a trade in a prediction market?
EV compares what you expect to win on average vs what you pay. For a $1 "Yes" contract: EV = (your probability × $1) − price − fees.
Detailed Explanation
- The EV formula: For a binary contract paying $1 on "Yes": EV = p − price − fees, where p is your estimated probability of "Yes."
- What EV tells you: A positive EV means you expect to profit on average over many similar trades. Negative EV means the opposite.
- All-in cost: "Price" should include any spread impact (slippage), and "fees" should include both trading fees and any withdrawal or settlement costs.
- Uncertainty matters: If your p estimate is uncertain, your EV estimate is also uncertain. Consider the range of plausible p values, not just your point estimate.
Common Scenarios
- You're deciding whether a mispricing is worth trading after fees
- You're comparing two markets on similar events to find the better opportunity
- You're sizing a position—higher EV per share justifies larger sizing (within risk limits)
- You're stress-testing: "If I'm wrong by 5–10 points, is EV still positive?"
Exceptions & Edge Cases
- If fees exceed your edge, then EV is negative even if the market is "wrong."
- If you can't exit easily, then factor in the cost of being locked in until settlement.
- If the payout isn't exactly $1 (e.g., range contracts, partial payouts), then adjust the formula accordingly.
Practical Examples
Step-by-step EV calculation:
- Your estimate: You believe the probability of "Yes" is p = 0.58 (58%).
- Market price: "Yes" shares are trading at $0.52.
- Fees: Total trading + settlement fees are $0.01 per share.
- EV calculation: EV = 0.58 − 0.52 − 0.01 = $0.05 (5 cents per share).
- Interpretation: On average, you expect to profit 5 cents per share—a positive EV trade.
Actionable Takeaways
- ✅ Write down your p (and why)—be explicit about your probability estimate and its basis
- ✅ Subtract realistic fees + spread impact—don't ignore execution costs
- ✅ Stress-test p: what if you're wrong by 5–10 points? Is EV still positive?
- ✅ Avoid trades where EV is smaller than execution costs—small edges get eaten by fees