PZZA Move Probability $18.23 -0.50 (-2.7%)
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)
55.5%
Stock touched +5.0% ($19.14) at least once during 14 trading days.
Median first touch: Day 4 of 14
Expiration Close Probability
26.6%
Stock closed at or beyond +5.0% at the end of the 14-day window.
The Touch Multiple
2.09x
You are 2.1x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±12.2%
$16.00 — $20.46
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) | 55.5% | 26.6% | Model-free reality across 508 historical 14-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 23.5% | Adjusts normal bell curve for real-world skewness (0.45) and kurtosis (5.73). |
| Standard Normal (Black-Scholes / GBM) | 69.0% | 34.5% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 39.5% | 21.0% | Filters for historical windows that started with volatility similar to current 20-day HV (81 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 51.8%
- Recent 20-Day HV: 26.5%
- Parkinson Intraday Volatility: 44.4%
- Vol Trend: Compressed (-49% vs baseline)
14-Day Return Quantiles
- Median Return: -3.2%
- Top 10% Move (90th percentile): +14.4%
- Bottom 10% Move (10th percentile): -16.6%
- Max Historical Gain (14d): +33.2%
- Max Historical Loss (14d): -30.0%