PALI Move Probability $1.39 -0.04 (-2.8%)
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)
75.4%
Stock touched +5.0% ($1.46) at least once during 14 trading days.
Median first touch: Day 2 of 14
Expiration Close Probability
29.9%
Stock closed at or beyond +5.0% at the end of the 14-day window.
The Touch Multiple
2.52x
You are 2.5x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±26.5%
$1.02 — $1.76
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) | 75.4% | 29.9% | Model-free reality across 508 historical 14-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 29.3% | Adjusts normal bell curve for real-world skewness (1.23) and kurtosis (8.89). |
| Standard Normal (Black-Scholes / GBM) | 85.4% | 42.7% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 77.3% | 36.8% | Filters for historical windows that started with volatility similar to current 20-day HV (269 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 112.5%
- Recent 20-Day HV: 79.2%
- Parkinson Intraday Volatility: 90.9%
- Vol Trend: Compressed (-30% vs baseline)
14-Day Return Quantiles
- Median Return: -3.1%
- Top 10% Move (90th percentile): +22.5%
- Bottom 10% Move (10th percentile): -27.1%
- Max Historical Gain (14d): +249.4%
- Max Historical Loss (14d): -45.0%