Probability / Chance of Profit (POP)
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Definition
The estimated probability that a position finishes profitable at (or is managed to profit before) expiration, given a model of the underlying's terminal distribution. Usually derived from option prices / implied volatility, so it is a RISK-NEUTRAL probability, not a real-world forecast.
How to read it
POP is seductive because a high number feels like a good trade, but POP and payoff are inversely linked: selling far-OTM premium yields an 80-90% POP precisely because the max loss is large and the max profit small. The correct decision metric is EXPECTED VALUE = POP x avg-win - (1-POP) x avg-loss, not POP alone. Also note that most quoted POPs are risk-neutral (extracted from IV), which embed the risk premium and typically OVERSTATE the real-world probability of a short-premium trade succeeding by less than the raw number suggests - the market pays you the credit for a reason.
How practitioners use it
Used as context among multiple indicators — never as a standalone signal to act.
Less common professional uses
Quoted POP is RISK-NEUTRAL: it is P under the pricing measure Q, which prices in the equity/vol risk premium, so it differs from the real-world probability P. For short-vol trades the real-world POP is typically a bit higher than risk-neutral (you are paid a premium for bearing variance risk), which is the structural edge - but it is thin and tail-sensitive. POP says nothing about the SHAPE of the loss: two 85% POP trades can have identical win rates but wildly different left tails (defined vs undefined risk), so POP must always be read jointly with the conditional expected loss (CVaR of the losing 15%). Because POP is derived from the implied distribution, a mispriced skew changes it: the same delta-based POP estimate is biased when the smile is steep, and the delta-approx (POP ~ 1-|delta|) diverges from true probability precisely where skew is richest.
Sources & provenance
Natenberg, 'Option Volatility and Pricing'; Sinclair, 'Volatility Trading' (risk-neutral vs real-world probabilities)
This page is educational content published by Pachira Aquatica Global LLC. It is not investment advice and not a recommendation.