GM Move Probability $76.08 -1.02 (-1.3%)
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)
4.2%
Stock touched +5.0% ($79.89) at least once during 1 trading days.
Median first touch: Day 1 of 1
Expiration Close Probability
2.3%
Stock closed at or beyond +5.0% at the end of the 1-day window.
The Touch Multiple
1.83x
You are 1.8x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±2.3%
$74.36 — $77.81
Historical 1-Day Return Distribution
Frequency of rolling 1-day percentage returns over 521 historical windows (2024-09-23 to 2026-10-21). 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) | 4.2% | 2.3% | Model-free reality across 521 historical 1-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 10.5% | Adjusts normal bell curve for real-world skewness (0.35) and kurtosis (4.85). |
| Standard Normal (Black-Scholes / GBM) | 3.1% | 1.5% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 4.5% | 2.9% | Filters for historical windows that started with volatility similar to current 20-day HV (381 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 35.9%
- Recent 20-Day HV: 41.0%
- Parkinson Intraday Volatility: 27.4%
- Vol Trend: Normal / Consistent
1-Day Return Quantiles
- Median Return: +0.1%
- Top 10% Move (90th percentile): +2.6%
- Bottom 10% Move (10th percentile): -2.3%
- Max Historical Gain (1d): +14.8%
- Max Historical Loss (1d): -9.1%