ZANO Power Law

Interactive log/log regression • actual daily price history • residual-derived valuation corridors
Latest ZANO
Power-law fair value
at latest observed date
Price / fair value
Log-space R²
Power exponent β
slope of ln(price) vs ln(days)
Residual σ
multiplicative 1σ =

Model definition

P(t) = 4.014209e-5 × t^1.513956

Time origin: t = days since 2019-05-08 , the Zano genesis date.

xᵢ = ln(tᵢ)    yᵢ = ln(Pᵢ)
β = Σ[(xᵢ−x̄)(yᵢ−ȳ)] / Σ[(xᵢ−x̄)²]
α = ȳ − βx̄
P̂(t) = exp(α) · t^β

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 ZANO must obey a power law. A shorter history, changing liquidity, market structure, and regime shifts can materially change β, α and the bands.

Model diagnostics

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%

Power-law projections

Date −2σ −1σ Fair +1σ +2σ
Data source: Yahoo Finance daily ZANO-USD
Source coverage: 2020-01-17 → 2026-08-21. Model fit: 2020-01-17 → 2026-08-21. Server cache: 30 minutes. Chart library: Plotly.