WULF Move Probability $12.96 -0.40 (-3.0%)
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)
66.1%
Stock touched +5.0% ($13.60) at least once during 3 trading days.
Median first touch: Day 1 of 3
Expiration Close Probability
31.8%
Stock closed at or beyond +5.0% at the end of the 3-day window.
The Touch Multiple
2.08x
You are 2.1x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±11.5%
$11.46 — $14.45
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) | 66.1% | 31.8% | Model-free reality across 519 historical 3-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 22.6% | Adjusts normal bell curve for real-world skewness (0.47) and kurtosis (5.52). |
| Standard Normal (Black-Scholes / GBM) | 67.1% | 33.6% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 66.4% | 33.6% | Filters for historical windows that started with volatility similar to current 20-day HV (110 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 105.4%
- Recent 20-Day HV: 60.4%
- Parkinson Intraday Volatility: 88.9%
- Vol Trend: Compressed (-43% vs baseline)
3-Day Return Quantiles
- Median Return: +0.3%
- Top 10% Move (90th percentile): +14.6%
- Bottom 10% Move (10th percentile): -11.0%
- Max Historical Gain (3d): +71.6%
- Max Historical Loss (3d): -28.9%