DFH Move Probability $7.42 -1.81 (-19.6%)
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)
25.2%
Stock touched +5.0% ($7.79) at least once during 2 trading days.
Median first touch: Day 1 of 2
Expiration Close Probability
11.5%
Stock closed at or beyond +5.0% at the end of the 2-day window.
The Touch Multiple
2.18x
You are 2.2x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±5.2%
$7.03 — $7.80
Historical 2-Day Return Distribution
Frequency of rolling 2-day percentage returns over 520 historical windows (2024-09-16 to 2026-10-14). 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) | 25.2% | 11.5% | Model-free reality across 520 historical 2-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 10.5% | Adjusts normal bell curve for real-world skewness (0.0) and kurtosis (3.87). |
| Standard Normal (Black-Scholes / GBM) | 35.0% | 17.5% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 30.9% | 8.6% | Filters for historical windows that started with volatility similar to current 20-day HV (162 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 58.6%
- Recent 20-Day HV: 92.0%
- Parkinson Intraday Volatility: 42.5%
- Vol Trend: Expanded (+57% vs baseline)
2-Day Return Quantiles
- Median Return: -0.8%
- Top 10% Move (90th percentile): +5.8%
- Bottom 10% Move (10th percentile): -5.9%
- Max Historical Gain (2d): +17.0%
- Max Historical Loss (2d): -18.1%