A short 16-delta put on a $100 stock, 45 days out, shows a probability of profit of about 84% on most trading platforms. A long at-the-money call on the same stock shows about 32%. It is tempting to read that as the put being the better trade. It isn’t, necessarily. In our example the put’s average loss is more than five times its average win, the call’s average win is about twice its average loss, and priced fairly, both break even on average. POP is one half of the arithmetic. For the Greek behind it, see what delta is.
What is probability of profit in options?
Probability of profit (POP) is the estimated chance that an options position makes at least one cent at expiry. Platforms compute it from implied volatility, so it is the market’s risk-neutral estimate, not a forecast.
For a short put sold for $1.00 at a $95 strike, the trade profits at expiry if the stock is above $94.00, the break-even. POP is the probability, under a lognormal model using the option’s implied volatility, that the stock finishes above that point. For a long call, it is the chance the stock finishes above the strike plus the premium. Because the inputs come from option prices, POP describes what the market is pricing. If implied volatility is higher than the volatility the stock goes on to deliver, real-world outcomes for sellers will be better than POP suggests, and for buyers worse. The implied volatility guide explains where those inputs come from.
How does probability of profit relate to delta?
For a single short option, POP is roughly one minus the absolute delta, adjusted for the premium received. Delta is a close stand-in for the risk-neutral chance of finishing in the money.
The relationship is approximate. In our example the 97-strike put has a delta of about 29 and a 32% risk-neutral chance of expiring in the money; the 90 put, a delta of about 5 and a 6% chance. The premium shifts the break-even below the strike, so a short 30-delta put has a POP somewhat above 70%. Platforms differ in exactly how they compute POP, so compare like with like.
POP of a short option ≈ 100 minus its delta. A 16-delta short put has about an 84% POP; a 30-delta, about 70%–75%. Use it for a quick sanity check, not as a precise figure.
What is probability of touch, and why does it matter?
Probability of touch is the chance the stock trades at the strike at any time before expiry, and it is roughly twice the chance of finishing there.
The 97 put in the chart has about a 32% chance of finishing in the money but about a 65% chance of being touched along the way. That matters for management. A trade with a 70% POP will look like a loser at some point in most cases. If your stop loss sits at the short strike, expect it to trigger far more often than the POP implies. It also explains why selling far-out-of-the-money options feels calm most of the time and then suddenly doesn’t: the touch probability is low, but when the stock gets there, the position’s gamma is working hard against you.
Why do high-probability trades have small wins?
Because POP and the size of wins and losses are priced together. To win more often, you sell options further from the money, which collect less premium and still carry large losses when they fail.
The chart shows five 45-day trades on a $100 stock at 20% implied volatility. The short 16-delta put wins about 84% of the time; its average win is about $61 per contract and its average loss about $331. The short 97/92 put spread wins about 73%, with an average win of $98 and loss of $271. The long at-the-money call wins only about a third of the time but its average win, $495, is about twice its average loss. Multiply each POP by its average win, subtract the loss side, and every trade comes out close to zero. That is what a fair price means.
| Trade (45 days) | POP at expiry | Average win | Average loss | Expected value |
|---|---|---|---|---|
| Short 16-delta put | 84% | $61 | $331 | ≈ $0 |
| Short 97/92 put spread | 73% | $98 | $271 | ≈ $0 |
| Iron condor (16-delta, $5 wings) | 74% | $90 | $255 | ≈ $0 |
| Long 30-delta call | 21% | $438 | $113 | ≈ $0 |
| Long at-the-money call | 32% | $495 | $232 | ≈ $0 |
Picking trades by POP and sizing them by premium. A book of 85%-POP short puts can run for months without a loss and then give back a year of gains in one move. Size on the loss, not the win; see options position sizing.
If POP isn’t the edge, what is?
The edge is the gap between the volatility an option is priced at and the volatility the stock delivers. POP barely moves when that gap changes; expected value moves a lot.
From October 2016 to September 2026 the S&P 500’s realized volatility over the following month averaged about 78.5% of the VIX, and the VIX was above the volatility the index went on to deliver about 85% of the time (FRED data; Proflex calculation). Rerun the trades with the stock realizing that share of its implied volatility, and the short put spread’s POP rises only from 73% to 79%, but its expected value moves from about zero to about +7% of capital at risk per trade. The long at-the-money call moves the other way, to about −23%. That is the case for selling index premium in normal markets, and it is also why the gap can close fast in a crisis, when realized volatility jumps above implied. Past index behavior doesn’t guarantee the same for single stocks or for the future.
Does managing a trade change its probability of profit?
Yes. Closing early at a profit target raises the share of winning trades above the POP shown at entry, because some trades are closed as winners before they reverse.
In the series simulation, a short put spread that won 79% of the time when held to expiry won about 86% of the time when closed at 50% of the credit, and about 91% at 25%. The average win shrank by more than the win rate rose, so expected value didn’t improve. That is the pattern to expect: management reshapes the distribution of outcomes, it doesn’t change the price you traded at. The profit-taking guide tests this across targets.
How should you use probability of profit?
Use POP as one input alongside average win, average loss and the worst realistic loss, and use the touch probability to set expectations for how often the trade will be under water.
- To compare strikes within the same strategy and expiry, where the trade-off is clear.
- To set stops knowing how often the stock is likely to reach them.
- To judge an expected-value claim: if someone advertises a high win rate, ask for the average loss.
- Not as a forecast: it is built from implied volatility, which already reflects the market’s view. For what the market is pricing in points, see the expected move guide.
What is a checklist for reading probability of profit?
- Note the POP, then find the maximum loss and the average loss, not just the credit.
- Check the probability of touch for your stop level.
- Compare implied volatility with recent realized volatility; that gap is the edge.
- Size on the loss side, so the rare failure is affordable.
- Expect your own win rate to differ: management, costs and real-world drift all move it.
- Track expected value from your own records: win rate × average win − loss rate × average loss.
Frequently asked questions
What does probability of profit mean in options?
Probability of profit is the estimated chance that an options position makes at least one cent at expiration. Platforms compute it from the option prices themselves, using implied volatility, so it is the market’s risk-neutral estimate, not a forecast.
Is delta the probability of an option expiring in the money?
Approximately. Delta is a close stand-in for the risk-neutral probability of finishing in the money, but not identical. In our example a 45-day put with a delta of 29 had a 32% risk-neutral chance of expiring in the money.
What is probability of touch?
Probability of touch is the chance the stock trades at the strike at any point before expiry. It is roughly twice the probability of finishing in the money. A 30-delta put has about a 65% chance of being touched, which matters for stops and for how often a trade will look like a loser along the way.
Is a high probability of profit trade better?
Not by itself. A high POP comes from selling options far from the money, which means small wins and occasional large losses. A short 16-delta put had an 84% POP in our example, but its average loss was more than five times its average win.
What is a good probability of profit for options?
There isn’t one. What matters is expected value: probability of profit times average win, minus probability of loss times average loss, minus costs. Expected value is positive only when the option’s price is rich or cheap relative to how the stock actually moves.
Does closing trades early change probability of profit?
Yes. Closing at a profit target raises the share of winning trades above the POP at entry, because some trades are closed as winners before reversing. In our simulation a put spread with a 79% win rate held to expiry won 86% of the time when closed at 50% of the credit.
Key takeaways
- POP is the market’s risk-neutral chance of making a cent at expiry, derived from implied volatility.
- For a short option, POP is roughly one minus delta; the chance of touch is about twice the chance of expiring in the money.
- High POP means small wins and large losses; low POP means the reverse.
- With fairly priced options, every trade breaks even on average before costs, whatever its POP.
- The edge is in the price: selling helps when implied volatility exceeds what the stock delivers.
- Judge trades on expected value and worst-case loss, not on POP alone.
Sources and method
- OCC, Characteristics and Risks of Standardized Options — options pricing and risks
- Investor.gov, Options (glossary) — definitions
- Cboe Options Institute — options education
- Cboe Volatility Index via FRED (VIXCLS) — implied volatility, 2016–2026
- S&P 500 via FRED (SP500) — realized volatility, 2016–2026
All charts are illustrative. Chart 1 uses Black–Scholes with a $100 stock, 20% implied volatility, a 4.2% rate and 45 days; probability of touch uses the reflection formula for a lognormal path with drift. Chart 2 prices five 45-day trades ($5-wide spreads) with Black–Scholes and simulates expiry prices with realized volatility equal to implied (200,000 draws, seed 5). Chart 3 repeats the short put spread and the long at-the-money call with realized volatility at 15.7%, 78.5% of implied, the average ratio of S&P 500 realized volatility to the VIX from October 2016 to September 2026 (FRED). Held to expiry; no commissions or spreads.