APA Move Probability $49.64 -0.25 (-0.5%)
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)
9.6%
Stock touched +5.0% ($52.12) at least once during 1 trading days.
Median first touch: Day 1 of 1
Expiration Close Probability
3.8%
Stock closed at or beyond +5.0% at the end of the 1-day window.
The Touch Multiple
2.50x
You are 2.5x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±3.1%
$48.08 — $51.20
Historical 1-Day Return Distribution
Frequency of rolling 1-day percentage returns over 521 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) | 9.6% | 3.8% | Model-free reality across 521 historical 1-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 2.8% | Adjusts normal bell curve for real-world skewness (-0.65) and kurtosis (5.51). |
| Standard Normal (Black-Scholes / GBM) | 12.0% | 6.0% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 10.1% | 6.2% | Filters for historical windows that started with volatility similar to current 20-day HV (129 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 49.8%
- Recent 20-Day HV: 29.3%
- Parkinson Intraday Volatility: 38.7%
- Vol Trend: Compressed (-41% vs baseline)
1-Day Return Quantiles
- Median Return: +0.3%
- Top 10% Move (90th percentile): +3.7%
- Bottom 10% Move (10th percentile): -3.1%
- Max Historical Gain (1d): +18.9%
- Max Historical Loss (1d): -16.5%