DocuDense Research presents
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Explore long-term price relationships across a growing selection of digital assets, from Bitcoin and Monero to BNB, Uniswap, and Cash Cat. This dashboard fits daily market history to an empirical power-law curve, then visualizes fair value, valuation corridors, model diagnostics, and projections.
Built for research and exploration. The model is a historical curve fit—not financial advice or a guarantee of future performance. Visits and interactions are logged with anonymous visitor/session IDs, IP and referrer data, and browser/device details to help improve the dashboard.
This release includes general maintenance and refinements.
Compare model valuation and fit quality without crowding the chart.
Choose a second asset to compare.
Ratios and σ deviations are comparable across price scales; R² indicates how closely each history follows its fitted power-law curve.
Pinch with two fingers to zoom the chart. Scroll the page with one finger; tap the chart for a price reading.
Time origin:
t = days since 2009-01-03
,
the Bitcoin genesis date.
Goodness of fit:
R² is computed in log-price space because that is the space in which the power-law regression is linear.
The chart's ±1σ, ±2σ and ±3σ corridors use the standard deviation of
εᵢ = ln(Pᵢ/P̂ᵢ)
.
That means every corridor is a constant multiple of fair value rather than a fixed dollar distance.
Important: This is an empirical curve fit, not evidence that BTC must obey a power law. A shorter history, changing liquidity, market structure, and regime shifts can materially change β, α and the bands.
| Fit window | |
|---|---|
| Observations | |
| α (log intercept) | |
| A = e^α | |
| β (exponent) | |
| R², log space | |
| RMSE, log space | |
| Mean abs. % error | |
| Median abs. % error | |
| Residual 5% / 50% / 95% |
| Date | −2σ | −1σ | Fair | +1σ | +2σ |
|---|