AMAT Move Probability $481.63 -15.94 (-3.2%)
Real historical back-data analysis: evaluates rolling trading-day windows to determine the probability of a stock touching or closing at your target move.
Touch Probability (First Passage)
69.1%
Stock touched +5.0% ($505.71) at least once during 14 trading days.
Median first touch: Day 4 of 14
Expiration Close Probability
41.3%
Stock closed at or beyond +5.0% at the end of the 14-day window.
The Touch Multiple
1.67x
You are 1.7x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±12.4%
$421.75 — $541.51
Historical 14-Day Return Distribution
Frequency of rolling 14-day percentage returns over 508 historical windows (2024-09-13 to 2026-10-13). The colored bar indicates the win zone for +5.0%.
Historical returns
Target move zone (+5.0%+)
Target threshold bin
Probability Breakdown: Empirical vs. Theoretical Models
Comparing actual market back-data against Black-Scholes and Fat-Tail adjustments.
| Model / Methodology | Touch Probability | Expiration Close Probability | What It Tells You |
|---|---|---|---|
| Empirical Back-Data (Actual History) | 69.1% | 41.3% | Model-free reality across 508 historical 14-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 30.5% | Adjusts normal bell curve for real-world skewness (-0.13) and kurtosis (2.9). |
| Standard Normal (Black-Scholes / GBM) | 69.5% | 34.7% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 68.3% | 44.5% | Filters for historical windows that started with volatility similar to current 20-day HV (353 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 52.7%
- Recent 20-Day HV: 42.0%
- Parkinson Intraday Volatility: 36.8%
- Vol Trend: Compressed (-20% vs baseline)
14-Day Return Quantiles
- Median Return: +2.3%
- Top 10% Move (90th percentile): +18.7%
- Bottom 10% Move (10th percentile): -10.6%
- Max Historical Gain (14d): +44.8%
- Max Historical Loss (14d): -25.8%