Bitcoin Power Law log-log regression chart with the cycle-top and accumulation standard-deviation bands marked.

The Bitcoin Power Law: A Boring Straight Line That Has Outlasted Every Price Target I Ever Heard

By SatoshiMacro | SatoshiMacro | 1 Jun 2026


Originally published at SatoshiMacro. The original is the authoritative version.

I have a confession that will not endear me to anyone selling a trading course. After more than a decade around markets, first on an institutional desk here in Sydney and now running my own research, the most useful Bitcoin chart I look at is also the most boring one on my screen. It is a straight line.

On a log-log scale, where both price and time are stretched logarithmically, Bitcoin's entire history sits surprisingly close to a single upward-sloping line. That line has framed where we are in a cycle better than almost every confident price target I have ever been handed at a barbecue. "200k by Christmas." "It's going to zero." I have heard both, usually from the same person in the same year. The line just keeps doing its quiet thing.

Let me explain what it actually is, because people tend to either worship it or laugh at it, and both reactions miss the point.

What a power law is, without the mysticism

A power law just means one quantity grows as a power of another. Plenty of things in nature and networks follow them. For Bitcoin, if you plot price against time since the genesis block and take the log of both axes, the cloud of daily prices hugs a line with a slope somewhere around 5.7 on the current fit. Around that central line you can draw bands using standard deviations, the same statistical idea as a Bollinger Band but measured over the whole life of the asset rather than the last twenty days.

Here is the part that earns it a seat at my desk. The upper band, roughly plus one standard deviation, has sat over the price at every major cycle top: December 2013, December 2017, April 2021, and again near the late-2025 high around the 126k mark. The lower band, roughly minus half a standard deviation, has sat under the price at the cycle bottoms: January 2015, December 2018, November 2022. Four tops, three bottoms, one straight line. That is not nothing.

Why I trust the slow version and distrust the loud one

The reason I lean on it is the same reason I learned to respect slow signals generally. On the desk, the people who blew up were almost never short of clever entries. They were short of context. They sized into a move because the four-hour chart looked unstoppable, and the four-hour chart looks unstoppable right up until it doesn't.

The Power Law does not pretend to know next week. It cannot time a top to the day and it will never try. What it gives you is a sense of how stretched price is against its own decade-long trend. When Bitcoin is pressing into that upper band, history says the air is thin up there. When it is sitting on the lower band, history says that is where the people who later looked smart were quietly buying. I do not trade off it. I size off it. Those are different jobs and confusing them is expensive.

The honest part most write-ups skip

I am not going to oversell this, because the moment a tool gets oversold is the moment it stops working.

It is descriptive, not predictive. The line describes where price has been. It does not contain a law of physics that forces price to obey it next cycle. The slope itself drifts as new data comes in, so a deviation that read extreme in 2017 reads ordinary today. We also have roughly three clean cycles of data. Three. That is enough to notice a pattern and nowhere near enough to bet the house on it. And November 2021 is the honest scar: the secondary top of that cycle did not push cleanly into the upper band the way the others did. The Power Law half-missed it. Any single indicator will eventually embarrass you, which is exactly why I never run this one alone.

In my own model it lives in the valuation layer, carrying about a quarter of the weight, sitting next to the MVRV Z-Score, the Mayer Multiple, and the moving-average work. When several of those agree, I pay attention. When the Power Law says one thing and everything faster says another, the disagreement is the signal, usually that the slow line has not caught up to a fast move yet.

The bit that actually matters if you are Australian

There is a tax wrinkle here that changes how I use cycle position, and most overseas write-ups ignore it because it does not apply to them. If you hold an asset for more than 12 months before disposing, you currently get the 50 percent CGT discount, so only half the gain is taxed. That makes holding period a real lever on what you actually keep, not just a trading nicety.

So when the Power Law flags accumulation territory, I am not only thinking "cheap." I am thinking "this is where a holding clock worth starting begins." And when it pushes into the upper band, the question is not only "should I trim" but "which of my tranches have cleared 12 months and which have not." There is also the announced change that keeps the discount on gains up to the asset's value at 1 July 2027, which makes the next couple of EOFY decisions unusually loaded. Cycle position tells you roughly where you are. The tax rules tell you how to harvest it. You need both.

My read, for whatever it is worth: treat the Power Law as a context layer, not a crystal ball. It will not make you a good trader. It will keep you honest about where you are when your own excitement and the four-hour chart are both lying to you. That is a narrow job and it does it better than almost anything else I have on the screen.

You can see the live chart, with the cycle-top and accumulation bands marked, here: satoshimacro.com/tools/crypto/cycle-indicators/bitcoin-power-law

Disclosure: I built and maintain SatoshiMacro. The model is free and ad-supported (broker affiliate links live on the main site, not in this post). This is editorial, not financial advice. Do your own work and talk to a registered tax agent about your own situation.

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SatoshiMacro
SatoshiMacro

Sydney-based former institutional trader, founder of SatoshiMacro (satoshimacro.com). I write about Bitcoin cycles, on-chain valuation, and derivatives positioning with an Australian-markets lens.


SatoshiMacro
SatoshiMacro

Quantitative Bitcoin and Ethereum cycle research from a former institutional trader. Home of the SatoshiMacro Model (SMM), a 48-signal cycle confluence framework that has called 7 of 7 historical BTC cycle tops and bottoms in their correct zones, plus the ETH variant (SMM-ETH). Coverage spans on-chain metrics, derivatives positioning, ETF flows, macro context, and broker/exchange research. Editorial, not promotional. Full models and data free at satoshimacro.com.

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