AVGO Move Probability $339.40 +0.10 (+0.0%)
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)
71.4%
Stock touched +3.5% ($351.28) at least once during 10 trading days.
Median first touch: Day 3 of 10
Expiration Close Probability
40.7%
Stock closed at or beyond +3.5% at the end of the 10-day window.
The Touch Multiple
1.75x
You are 1.8x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±10.4%
$304.26 — $374.54
Historical 10-Day Return Distribution
Frequency of rolling 10-day percentage returns over 511 historical windows (2024-08-19 to 2026-09-16). The colored bar indicates the win zone for +3.5%.
Historical returns
Target move zone (+3.5%+)
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) | 71.4% | 40.7% | Model-free reality across 511 historical 10-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 25.3% | Adjusts normal bell curve for real-world skewness (0.22) and kurtosis (7.55). |
| Standard Normal (Black-Scholes / GBM) | 74.0% | 37.0% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 74.2% | 43.9% | Filters for historical windows that started with volatility similar to current 20-day HV (287 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 52.0%
- Recent 20-Day HV: 34.6%
- Parkinson Intraday Volatility: 37.6%
- Vol Trend: Compressed (-33% vs baseline)
10-Day Return Quantiles
- Median Return: +1.9%
- Top 10% Move (90th percentile): +13.3%
- Bottom 10% Move (10th percentile): -9.0%
- Max Historical Gain (10d): +50.2%
- Max Historical Loss (10d): -23.6%