BTC Auditor

On-chain analysis with verifiable data

Bitcoin Power Law today

Current deviation loading…
Actual price latest available data point
Trend price regression's center line, today
Difference actual price vs. trend

Coin Metrics data, daily series since 2010.

Full historical series

Logarithmic scale on both axes. The seven colored bands are standard deviations of the regression's residual (the "Rainbow Chart"); the light line is the actual price. Source: Coin Metrics, PriceUSD.

What it actually measures

The Power Law fits a straight line to the logarithm of price against the logarithm of days elapsed since Bitcoin's genesis block, January 3, 2009. On that double logarithmic scale, an exponential growth that keeps decelerating — like Bitcoin's over its fifteen years of history — looks a lot like a straight line.

The seven colored bands aren't hand-picked thresholds: they're standard deviations of that same regression's residual, in steps of 0.5σ from −1.5σ ("very undervalued") to +1.5σ ("extreme euphoria"). The actual price moves between those bands without needing any data beyond the price history itself.

Unlike MVRV or the Z-Score, which compare price against the network's on-chain cost basis, the Power Law uses no on-chain data at all: it compares today's price against its own very-long-term trend. It's, literally, the simplest possible definition of "expensive" or "cheap": expensive or cheap relative to itself over time.

The top gets closer to the trend every cycle

We calculated the regression's exact deviation — in standard deviations σ — on the day of each cycle top already used across the other pages of this dashboard. The sequence is an almost perfect descending staircase:

Cycle topDeviationZone
June 2011+3.94σExtreme euphoria
December 2013+3.47σExtreme euphoria
December 2017+2.71σExtreme euphoria
November 2021+1.54σOvervalued
October 2025+0.27σFair value

The October 2025 top — the most recent — barely pulled away from the trend's center line: +0.27σ is a minor deviation, not a bubble. Looking at this indicator alone, that top wouldn't have looked exceptional at all. It's the same cycle compression already visible in MVRV, the Z-Score and the Puell Multiple, but taken here to the extreme: the indicator that compares price against its own trend says the latest top was barely a top at all.

The floor didn't move

If the compression were even, each cycle's floor should also move closer to the trend over time. That's not what shows up:

Cycle floorDeviationZone
November 2011−1.15σUndervalued
January 2015−0.87σUndervalued
December 2018−0.77σUndervalued
March 2020−1.09σUndervalued
November 2022−1.18σUndervalued

The five floors fell within a narrow band, between −0.77σ and −1.18σ, with no tendency to move closer to or farther from the center line. None even reached "very undervalued" (below −1.25σ). The result is a clear asymmetry: the top kept compressing toward the trend cycle after cycle, while the floor stayed anchored in practically the same place all five times.

It's not just this indicator. Five independent metrics — MVRV, NUPL, Z-Score, Puell Multiple and Power Law — show the same cycle-by-cycle compression, and in 2025 none reached its classic threshold. See all five in one table →

That's why this site describes the current level instead of announcing what comes next. The full methodology, with the code that checks it, is published in the auditoria/ folder of the repository.

Frequently asked questions

Does the Power Law predict where price is headed?

No. It's a very-long-term reference framework, built solely from past price history. It incorporates no future-demand variable and doesn't guarantee that the trend of the last fifteen years will hold for the next fifteen.

What does it mean for the price to be "undervalued"?

That today it trades below its own very-long-term trend line, not that it's about to rise. The five cycle floors checked were in that zone, but there were also "undervalued" stretches that kept falling before recovering.

How often is it updated?

The regression is recalculated with the entire available series every time the page loads, so a single new day moves the result very little.

Does it work for other assets?

It's applicable to any asset with a sufficiently long price series; the main dashboard also calculates it for Ethereum, XRP and the rest of the available assets, each with its own launch date.

Follow Bitcoin without watching the screen

The dashboard lets you set up an email or Telegram alert for when MVRV crosses a threshold you choose, with frequency control so it doesn't repeat the same alert on every run. Power Law isn't yet among the metrics available for alerts.

Set up an MVRV alert Telegram channel

Related metrics

The Power Law compares price against its own trend. The ones that read best alongside it:

See all of them on the full dashboard →