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Probability of Touching

Risk & money

Probability of touching is an options-pricing estimate of how likely it is that a stock's price will hit a specific level at some point before an option expires, not just where it ends up on the final day. It is usually quoted as a percentage and shown alongside an option's strike price on many broker platforms.

The number comes from an options pricing model, typically the same kind of model used to calculate an option's theoretical value and its "Greeks." The model looks at the current stock price, the strike price in question, the time remaining until expiration, and implied volatility (the market's expectation of how much the stock will swing around). From those inputs it estimates the odds that the price path wanders far enough to touch that strike at any moment along the way, then settles back or keeps going.

The nuance that trips people up is the difference between "touching" and "expiring there." A stock can touch a strike price on day three of a thirty-day option and then drift back to its starting point by expiration. Probability of touching counts that as a hit. Probability of expiring (sometimes called probability of expiring in-the-money) only counts where the price actually lands on the last day. Because there are many more ways to touch a level temporarily than to end up exactly past it at expiration, probability of touching is mathematically always the higher of the two figures for the same strike.

It's also worth remembering this is a model output, not a guarantee. It assumes a particular pattern of random price movement and a volatility estimate that can change. If actual volatility differs from what was priced in, the real chance of touching that level shifts too.

Why it matters on the desk

Day traders use probability of touching to judge how likely a stock is to reach a nearby support, resistance, or option strike during the session, which is relevant for setting stop-loss and take-profit levels or gauging option assignment risk on short-dated positions.

An example

A stock trades at 100 with an option expiring in five days. The 105 call strike shows a probability of touching of 40%, meaning the model estimates a 40% chance the stock trades at or above 105 at some point before expiration. The probability of expiring above 105 at expiration itself might be quoted at only 22%, since many paths that touch 105 intraday end up settling back below it by the last day.

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