What is an Options Probability Cone?
An options probability cone is a visual representation of the expected price range for a stock or ETF over a future time period, derived from the at-the-money (ATM) implied volatility of its options. The cone expands outward from the current stock price, forming a funnel shape that widens as the forecast horizon increases. This widening reflects the fundamental principle that uncertainty grows with time — the further into the future you look, the wider the range of possible prices. The inner band represents the one-standard-deviation (1σ) range, where the stock has approximately a 68% probability of trading. The outer band represents the two-standard-deviation (2σ) range, capturing roughly 95% of expected outcomes. Traders and investors use probability cones to set realistic price targets, evaluate option strike selection, and assess whether the market is pricing in an unusually wide or narrow expected move.
How to Use This Probability Cone Visualizer
- 1
Enter a Ticker Symbol
Type any US-listed stock or ETF ticker (e.g., AAPL, SPY, TSLA, QQQ). The tool fetches the live option chain and current stock price automatically.
- 2
Set the Forecast Horizon
Choose how many days into the future you want to project. Common choices are 30 days for short-term trades, 90 days for swing trades, or 365 days for long-term investment planning.
- 3
Read the Probability Cone Chart
The chart displays expanding bands around the current price. The darker inner band is the 68% confidence interval (1σ), and the lighter outer band is the 95% confidence interval (2σ). Use the timeframe breakdown table below the chart for precise price levels at key intervals.
Why Use a Probability Cone for Options Trading?
The probability cone transforms abstract implied volatility numbers into actionable price levels. Instead of wondering what 30% IV means in dollar terms, you can see exactly where the market expects a stock to trade over any timeframe. This makes it an indispensable tool for options traders, portfolio managers, and risk analysts.
Strike Price Selection
Choose option strikes that fall outside the 1σ or 2σ bands to sell premium with a statistical edge, or inside the bands for directional bets with higher probability of profit.
Risk Assessment
Understand the range of possible outcomes before entering a trade. The probability cone shows you the worst-case and best-case scenarios at different confidence levels.
Earnings & Event Planning
Before earnings or major events, check the probability cone to see the market-implied price range. Compare it to your own analysis to find mispriced options.
Portfolio Hedging
Use the 2σ lower bound to determine protective put strike levels, or the 1σ upper bound to set covered call strikes that are unlikely to be breached.
Understanding Standard Deviations in Options
In options pricing, standard deviations measure the expected dispersion of a stock's price around its current level. The concept comes from the normal distribution assumption used in the Black-Scholes model. A one-standard-deviation move (1σ) captures approximately 68.2% of all possible outcomes, meaning there is roughly a 68% chance the stock will remain within this range by the target date. A two-standard-deviation move (2σ) captures approximately 95.4% of outcomes. The formula used is straightforward: Expected Range = Stock Price × Implied Volatility × √(Days to Expiration / 365). This square root relationship is why the probability cone expands in a curved, funnel-like shape rather than linearly — uncertainty grows proportionally to the square root of time, not time itself.
How Implied Volatility Drives the Cone
High IV = Wide Cone: When implied volatility is elevated (e.g., before earnings), the probability cone expands significantly, reflecting the market's expectation of a large price move. This is when option premiums are expensive.
Low IV = Narrow Cone: When IV is low (e.g., during quiet market periods), the cone is narrow, suggesting the market expects limited price movement. This is when options are relatively cheap.
ATM IV is Key: This tool uses the at-the-money implied volatility because ATM options are the most liquid and provide the best estimate of the market's consensus expected volatility. ATM IV is the standard input for probability cone calculations across the industry.