UBCP Move Probability $13.65 +0.18 (+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)
29.9%
Stock touched +5.0% ($14.33) at least once during 14 trading days.
Median first touch: Day 7 of 14
Expiration Close Probability
17.1%
Stock closed at or beyond +5.0% at the end of the 14-day window.
The Touch Multiple
1.75x
You are 1.8x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±6.8%
$12.72 — $14.58
Historical 14-Day Return Distribution
Frequency of rolling 14-day percentage returns over 508 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) | 29.9% | 17.1% | Model-free reality across 508 historical 14-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 6.3% | Adjusts normal bell curve for real-world skewness (0.24) and kurtosis (10.69). |
| Standard Normal (Black-Scholes / GBM) | 47.2% | 23.6% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 30.3% | 14.3% | Filters for historical windows that started with volatility similar to current 20-day HV (231 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 28.8%
- Recent 20-Day HV: 36.5%
- Parkinson Intraday Volatility: 6.3%
- Vol Trend: Expanded (+27% vs baseline)
14-Day Return Quantiles
- Median Return: +0.0%
- Top 10% Move (90th percentile): +7.8%
- Bottom 10% Move (10th percentile): -6.1%
- Max Historical Gain (14d): +16.2%
- Max Historical Loss (14d): -9.6%