Bitcoin On-Chain
The Bitcoin Power Law Model Explained
Last updated 2026-07-23
The Bitcoin power law model observes that Bitcoin's price, plotted on logarithmic axes against time since the 2009 genesis block, has historically grown along a roughly straight line. A regression fit over Bitcoin's full history defines a central trend, with bands at standard-deviation multiples marking historically cheap and expensive zones — often rendered as a 'rainbow chart'.
Why it matters to investors
If price oscillates around a slow power-law trend, then cycle euphoria and despair become measurable as distance from trend — giving long-horizon investors a framework for when Bitcoin is historically stretched or depressed rather than reacting to price alone.
The model's appeal is its parsimony: one curve fit over 15+ years of data has so far contained every cycle top and bottom within its outer bands. Its weakness is the same thing — it is a curve fit, extrapolated from a single asset's single history.
How to read it
- Position within the bands is the signal: near the lower bands is historically cheap territory, near the upper bands historically expensive.
- The fit updates as new data arrives — projections are extrapolations of past behavior, not guarantees, and the model would fail precisely when Bitcoin's adoption dynamics change.
- Treat it as one cycle-context lens alongside cost-basis metrics like MVRV and realized price, not as a price forecast.
Data sources: Bitcoin price history (Binance, exchanges) · Least-squares regression over full history
Finlooker members track this on the live Bitcoin pricing-model charts, updated daily from the named sources.
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Common questions
Is the Bitcoin power law scientifically proven?
No — it is an empirical regularity, not a physical law. The fit has held for over a decade, which makes it interesting, but it is a regression on one asset's history and is actively debated. Serious users treat it as a descriptive framework with an unknown expiry date.
How is the power law different from the stock-to-flow model?
Stock-to-flow models price as a function of Bitcoin's scarcity (supply issuance), while the power law models price purely as a function of time. Stock-to-flow's price targets diverged sharply from reality after 2021; the power law makes far more modest claims and has tracked closer to realized prices.