JNJ Move Probability $257.63 -1.79 (-0.7%)
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)
2.1%
Stock touched +5.0% ($270.51) at least once during 2 trading days.
Median first touch: Day 2 of 2
Expiration Close Probability
1.0%
Stock closed at or beyond +5.0% at the end of the 2-day window.
The Touch Multiple
2.20x
You are 2.2x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±1.7%
$253.12 — $262.14
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) | 2.1% | 1.0% | Model-free reality across 520 historical 2-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 24.2% | Adjusts normal bell curve for real-world skewness (-0.51) and kurtosis (5.16). |
| Standard Normal (Black-Scholes / GBM) | 0.5% | 0.3% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 3.0% | 1.2% | Filters for historical windows that started with volatility similar to current 20-day HV (166 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 19.6%
- Recent 20-Day HV: 29.8%
- Parkinson Intraday Volatility: 16.6%
- Vol Trend: Expanded (+52% vs baseline)
2-Day Return Quantiles
- Median Return: +0.2%
- Top 10% Move (90th percentile): +2.2%
- Bottom 10% Move (10th percentile): -1.8%
- Max Historical Gain (2d): +5.6%
- Max Historical Loss (2d): -6.4%