SAN Move Probability $13.59 +0.08 (+0.6%)
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)
15.0%
Stock touched +5.0% ($14.26) at least once during 3 trading days.
Median first touch: Day 2 of 3
Expiration Close Probability
8.7%
Stock closed at or beyond +5.0% at the end of the 3-day window.
The Touch Multiple
1.73x
You are 1.7x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±3.6%
$13.09 — $14.08
Historical 3-Day Return Distribution
Frequency of rolling 3-day percentage returns over 519 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) | 15.0% | 8.7% | Model-free reality across 519 historical 3-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 5.8% | Adjusts normal bell curve for real-world skewness (-0.2) and kurtosis (3.14). |
| Standard Normal (Black-Scholes / GBM) | 18.1% | 9.1% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 15.2% | 9.1% | Filters for historical windows that started with volatility similar to current 20-day HV (375 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 33.4%
- Recent 20-Day HV: 33.3%
- Parkinson Intraday Volatility: 17.8%
- Vol Trend: Normal / Consistent
3-Day Return Quantiles
- Median Return: +0.6%
- Top 10% Move (90th percentile): +4.8%
- Bottom 10% Move (10th percentile): -3.2%
- Max Historical Gain (3d): +16.6%
- Max Historical Loss (3d): -16.8%