S.O.T.A LOG-LINEAR REGRESSION ENGINE
Logarithmic
UPDATED: 2026-09-19 00:11 UTC
Max Capitulation Floor
$366.64
Fair Value Compounding
$500.85
Premium / Discount
+52.26%
Peak Euphoria Ceiling
$769.27
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 | $348.31 |
| 0.05 | $371.28 |
| 0.10 | $394.25 |
| 0.15 | $417.22 |
| 0.20 | $440.20 |
| 0.25 | $463.17 |
| 0.30 | $486.14 |
| 0.35 | $509.11 |
| 0.40 | $532.08 |
| 0.45 | $555.05 |
| 0.50 | $578.02 |
| 0.55 | $600.99 |
| 0.60 | $623.96 |
| 0.65 | $646.94 |
| 0.70 | $669.91 |
| 0.75 | $692.88 |
| 0.80 | $715.85 |
| 0.85 | $738.82 |
| 0.90 | $761.79 |
| 0.95 | $784.76 |
| 1.00 | $807.73 |