TSLA Move Probability $407.15 +7.35 (+1.8%)
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)
68.4%
Stock touched -3.5% ($392.90) at least once during 10 trading days.
Median first touch: Day 2 of 10
Expiration Close Probability
31.1%
Stock closed at or beyond -3.5% at the end of the 10-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%)
±11.7%
$359.55 — $454.75
Historical 10-Day Return Distribution
Frequency of rolling 10-day percentage returns over 512 historical windows (2024-10-03 to 2026-11-02). 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) | 68.4% | 31.1% | Model-free reality across 512 historical 10-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 33.1% | Adjusts normal bell curve for real-world skewness (0.24) and kurtosis (4.67). |
| Standard Normal (Black-Scholes / GBM) | 76.1% | 38.0% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 70.3% | 32.3% | Filters for historical windows that started with volatility similar to current 20-day HV (229 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 58.7%
- Recent 20-Day HV: 36.5%
- Parkinson Intraday Volatility: 44.4%
- Vol Trend: Compressed (-38% vs baseline)
10-Day Return Quantiles
- Median Return: +0.8%
- Top 10% Move (90th percentile): +15.3%
- Bottom 10% Move (10th percentile): -11.2%
- Max Historical Gain (10d): +39.4%
- Max Historical Loss (10d): -32.9%