Free Option Probability Calculator

Check option probability with flexible statistical inputs. Measure expiry odds, touch chance, and expected movement. Download clean reports after each careful option risk calculation.

Calculator Inputs

Formula Used

This calculator uses a lognormal option probability model. It follows the same core probability structure used with Black-Scholes style calculations.

d1 = [ln(S / K) + (r - q + σ² / 2)T] / [σ√T]

d2 = d1 - σ√T

For a call, the estimated chance of finishing in the money is N(d2). For a put, the estimated chance is N(-d2).

The model also estimates breakeven probability, target probability, expected move, one sigma range, and approximate touch probability.

How to Use This Calculator

  1. Select call or put.
  2. Enter current price, strike, premium, and expiration days.
  3. Add implied volatility, rate, and dividend yield.
  4. Enter a target price for custom probability testing.
  5. Click Calculate to view results below the header.
  6. Use CSV or PDF buttons to save the same calculation.

Example Data Table

Input Example Value Result Meaning
Current Price 100 Underlying market price today
Strike Price 105 Option exercise level
Implied Volatility 30% Annual expected volatility input
Days to Expiration 45 Time remaining in the contract
Estimated Call ITM Probability 31.95% Approximate chance of closing above strike
Estimated Touch Probability 63.89% Approximate chance of touching strike before expiry

Understanding Option Probability

Option probability helps traders judge possible outcomes before expiration. It does not predict certainty. It estimates odds from price, strike, time, volatility, interest rate, and yield. This calculator uses a lognormal model, which is common for listed options. The model assumes returns spread around a forward price. Higher volatility widens that spread. More time also widens it.

Why This Calculator Matters

Many option decisions start with a simple question. What chance does this trade have? A call buyer wants the market above a strike or breakeven. A put buyer wants the market below those levels. Sellers often review the opposite side. The output separates in-the-money odds, out-of-the-money odds, touch chance, and target probability. This helps compare risk before entering a position.

Key Inputs

Current price and strike define the distance to travel. Days to expiration sets the time horizon. Implied volatility controls the expected range. Rates and dividends adjust the forward price. Premium creates a breakeven point. Target price lets you study a custom level. Contract size and contracts help estimate notional exposure.

Interpreting Results

A high in-the-money probability can still produce poor reward if premium is high. A low probability trade may still be attractive when reward is large. Probability of touch is different from finishing above or below a level. Price may touch a barrier during the period, then close elsewhere. Treat this estimate as an approximation.

Practical Use

Start with realistic volatility. Use the same expiration used by the option chain. Compare several strikes. Watch how probabilities change as time passes. Review breakeven odds, not only strike odds. Export the result for records. The calculation supports planning, but it does not replace market judgment, liquidity checks, or risk control.

Common Checks

Check the input units carefully. Volatility, rates, and yield should use annual percentages. Days should match the selected expiration. When markets move fast, update current price often. Wide bid ask spreads can change real results. The model also ignores early assignment, exercise style, skew, jumps, and changing volatility. Use results as a structured estimate. Then compare them with position size, stop rules, earnings dates, and news risk. Save each scenario before trading, and review changed assumptions during your next planning session with care.

FAQs

What does option probability mean?

It estimates the chance of an option finishing above or below a selected level by expiration. It is an estimate, not a guarantee.

Is this calculator for calls and puts?

Yes. Select call or put from the option type field. The calculator adjusts ITM, OTM, breakeven, and delta proxy results.

What volatility should I enter?

Use annual implied volatility from the matching option expiration. Historical volatility can be used, but results may differ from market expectations.

What is probability of touch?

It estimates the chance price touches the strike before expiration. It can be higher than the chance of finishing in the money.

Why is breakeven probability lower?

Breakeven includes premium. A call must rise above strike plus premium. A put must fall below strike minus premium.

Does the model include early exercise?

No. The calculation is a simplified statistical estimate. It does not model early exercise, assignment risk, or changing volatility.

Can I download my result?

Yes. Use the CSV button for spreadsheet records. Use the PDF button for a simple report of the same calculation.

Is this calculator investment advice?

No. It is a planning tool. Always review liquidity, spreads, position size, event risk, and your full trading plan.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.