CVX Move Probability $226.76 +1.10 (+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)
1.9%
Stock touched +5.0% ($238.10) at least once during 2 trading days.
Median first touch: Day 2 of 2
Expiration Close Probability
0.8%
Stock closed at or beyond +5.0% at the end of the 2-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%)
±2.2%
$221.85 — $231.67
Historical 2-Day Return Distribution
Frequency of rolling 2-day percentage returns over 520 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) | 1.9% | 0.8% | Model-free reality across 520 historical 2-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 1.3% | Adjusts normal bell curve for real-world skewness (-0.83) and kurtosis (4.13). |
| Standard Normal (Black-Scholes / GBM) | 2.4% | 1.2% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 1.9% | 0.8% | Filters for historical windows that started with volatility similar to current 20-day HV (375 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 24.3%
- Recent 20-Day HV: 18.6%
- Parkinson Intraday Volatility: 19.1%
- Vol Trend: Compressed (-23% vs baseline)
2-Day Return Quantiles
- Median Return: +0.3%
- Top 10% Move (90th percentile): +2.7%
- Bottom 10% Move (10th percentile): -2.4%
- Max Historical Gain (2d): +7.5%
- Max Historical Loss (2d): -13.9%