TSLA Move Probability $358.13 +1.45 (+0.4%)
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)
67.9%
Stock touched -3.5% ($345.60) at least once during 10 trading days.
Median first touch: Day 2 of 10
Expiration Close Probability
32.7%
Stock closed at or beyond -3.5% at the end of the 10-day window.
The Touch Multiple
2.08x
You are 2.1x more likely to hit your target during the window than holding until expiration.
1σ Expected Move (68.3%)
±11.9%
$315.67 — $400.59
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) | 67.9% | 32.7% | Model-free reality across 511 historical 10-day windows. |
| Fat-Tail Adjusted (Cornish-Fisher) | — | 33.6% | Adjusts normal bell curve for real-world skewness (0.22) and kurtosis (4.37). |
| Standard Normal (Black-Scholes / GBM) | 76.4% | 38.2% | Classic theoretical log-normal model with constant volatility (often underestimates tail risks). |
| Regime-Conditioned (Similar Volatility) | 68.7% | 37.1% | Filters for historical windows that started with volatility similar to current 20-day HV (364 matching periods). |
Underlying Volatility Profile
Volatility Metrics
- 1-Year Annualized HV: 59.5%
- Recent 20-Day HV: 50.9%
- Parkinson Intraday Volatility: 45.0%
- Vol Trend: Normal / Consistent
10-Day Return Quantiles
- Median Return: +0.8%
- Top 10% Move (90th percentile): +15.4%
- Bottom 10% Move (10th percentile): -11.4%
- Max Historical Gain (10d): +39.4%
- Max Historical Loss (10d): -32.9%