Education7 min readJanuary 25, 2025

How Prediction Market Odds Work

Price equals probability: the core concept

In a prediction market, the price of a contract IS the probability. A contract trading at 65¢ is the market's collective estimate that the underlying event has a 65% chance of occurring.

This is fundamentally different from traditional betting odds. A bookmaker might offer you 2/1 (decimal 3.0) on an event, which implies a 33% probability — but the bookmaker also takes a margin, so the true market price might be 40%. Prediction markets strip out that margin (almost entirely in the most liquid markets), giving you a cleaner probability signal.

The formula is simple: implied probability = price in ¢ / 100. A 72¢ YES = 72% implied probability. A 28¢ NO = 28% implied probability. YES + NO should sum to 100¢ (they sum to slightly less than 100¢ due to transaction fees).

Expected value: the only number that matters

Expected value (EV) is the average outcome of a bet if it were repeated infinitely. A positive EV bet is profitable in the long run; a negative EV bet loses money in the long run.

Formula: EV = (probability of winning × profit per win) - (probability of losing × loss per loss)

Example: You believe a candidate has a 70% chance of winning an election. Polymarket prices YES at 60¢.

Profit if YES wins: 40¢ (you paid 60¢, receive $1)
Loss if NO wins: 60¢
EV = (0.70 × 40¢) - (0.30 × 60¢) = 28¢ - 18¢ = +10¢ per share

This is a positive EV bet: for every $1 you put in, you expect to make 10¢ in profit on average. The market is pricing the candidate at 60% when you believe the true probability is 70% — a 10-point mispricing.

The challenge: your probability estimate must be more accurate than the market's. If you're wrong about the 70% and the true probability is actually 55%, the bet is negative EV.

Where markets are efficient and where they're not

Prediction markets are highly efficient in some areas and systematically inefficient in others.

Highly efficient (hard to beat):

Presidential election markets in final weeks — billions of dollars of information and capital
Major Bitcoin price targets close to expiry — tight options market comparison keeps this honest
Celebrity event markets (major award shows) — high retail attention, quick pricing

Less efficient (opportunity exists):

Down-ballot political markets — state legislatures, primaries, international elections
Regulatory/legal markets — requires deep domain knowledge most participants lack
Long-dated markets (>6 months to expiry) — harder to maintain accurate beliefs over long time horizons
Niche sports markets — smaller participant pools, less sophisticated average participant
Early-stage markets just after creation — before sufficient participants have engaged

The bid-ask spread and transaction costs

Every time you trade, you pay a cost in the form of the bid-ask spread. On a liquid market, this might be 1-2¢. On an illiquid market, it could be 5-10¢ or more.

If you're buying YES at 65¢ and the mid-price (midpoint of bid and ask) is 63¢, you're already starting 2¢ below fair value. To break even, the true probability needs to be at least 65%, not just 63%.

For this reason, small-edge trades are often not worth making in illiquid markets. Your edge needs to exceed the transaction cost. In practice, target at least a 5-point edge (you believe true probability is 70%+, market prices at 65% or below) in illiquid markets, and 3-point edge minimum in highly liquid markets.

Calibration: are your probability estimates accurate?

A calibrated forecaster means: when you say something is 70% likely, it happens about 70% of the time. Most people are systematically miscalibrated — usually overconfident (70% confident estimates that turn out right only 55% of the time).

You can measure your calibration by tracking your prediction market outcomes over time. If you buy contracts at 70¢ and they resolve YES less than 70% of the time, you're overconfident in your edge. If they resolve YES more than 70% of the time, you're either underestimating your ability or cherry-picking high-conviction trades.

PaperPoly's analytics dashboard shows your Brier score — a calibration metric that measures how well your entry prices predicted actual outcomes. A lower Brier score is better. Improving calibration is the highest-leverage skill improvement available to any prediction market trader.

Applying this to your first trades

Before every trade, write down three things: your probability estimate, the market's implied probability, and your reasoning for the difference.

If you can't articulate why your estimate differs from the market — if you're just going with a gut feeling — don't trade. The market has aggregated a lot of information. Without a specific reason why you're right and the market is wrong, you have no edge.

Start with markets in domains where you have genuine expertise. A doctor has an edge on healthcare regulatory markets. A securities lawyer has an edge on SEC enforcement markets. An avid sports bettor has an edge on their sport. Use the knowledge advantage you already have.

Ready to apply this?

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