S.O.T.A LOG-LINEAR REGRESSION ENGINE
Logarithmic
UPDATED: 2026-11-09 17:05 UTC
Max Capitulation Floor
$372.45
Fair Value Compounding
$509.60
Premium / Discount
+47.47%
Peak Euphoria Ceiling
$783.89
This plot models the historical compounding trajectory of SPY on a logarithmic scale, plotting a degree-1 linear regression fair-value trendline with standard deviation extremities.
Basic models evaluate price deviation against static all-time maximums (e.g., the 2000 Dot-Com Bubble for QQQ or 2008 Financial Crisis for SPY). This deeply flaws the output by compressing modern market activity.
This upgraded engine utilizes a Rolling Z-Score passed through a Sigmoid activation function. This frames "High Risk (1.0)" or "Low Risk (0.0)" relative to the exact macro volatility of the current business cycle, not decades-old anomalies.
The matrix on the right linearly maps the 0-1 risk scale to the absolute dollar distance between the Capitulation and Peak Euphoria bounds. A risk level of 0 represents an absolute crisis floor, while 1.0 represents macro blow-off euphoria.
NOT FINANCIAL ADVICE. FOR EDUCATIONAL PURPOSES ONLY.
| Risk Level | Price |
|---|---|
| 0.00 | $353.83 |
| 0.05 | $377.29 |
| 0.10 | $400.76 |
| 0.15 | $424.22 |
| 0.20 | $447.68 |
| 0.25 | $471.14 |
| 0.30 | $494.61 |
| 0.35 | $518.07 |
| 0.40 | $541.53 |
| 0.45 | $564.99 |
| 0.50 | $588.46 |
| 0.55 | $611.92 |
| 0.60 | $635.38 |
| 0.65 | $658.84 |
| 0.70 | $682.31 |
| 0.75 | $705.77 |
| 0.80 | $729.23 |
| 0.85 | $752.69 |
| 0.90 | $776.15 |
| 0.95 | $799.62 |
| 1.00 | $823.08 |