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BITCOIN'S POWER-LAW CHANNEL · WHERE WE ARE NOW

Forget the four-year cycle for a second. Strip Bitcoin down to one slowly-rising trend line — and ask the simpler question: how far above or below it are we standing right now?

0%below trend

at about the 0th percentile of all its history — cheap, but not the cheapest ever.

At roughly $62,000, Bitcoin sits about half below the line its price has tracked for sixteen years. We project that line and the channel around it 12 to 24 months forward, read where today sits inside it, and — honestly — test whether that distance has ever told you anything about what came next.

An observation about position, not a price target. Built from Bitcoin's full daily history (2011 → mid-2026). This lens leans mildly UP — the honest counterweight to the cycle reports — but the floor is the robust part and the small number of past examples is kept loud.

PART 1 — THE CHANNEL

One trend line, sixteen years — and a channel we can project forward.

Bitcoin's price, across a thousand-fold climb, has hugged one slowly-rising path — a power-law trend line. Around it, price spends years stretched above and years sunk below, but it keeps coming back. Draw the band where price has historically spent about 8 of every 10 days relative to that line, and you have a channel: a floor and a ceiling.

Project that channel 12 to 24 months forward and the first thing you see is where we are standing. Today, near $62,000, Bitcoin sits at the bottom of the channel — about half below the trend line. That's the hook. The honest work is the rest of this report.

channel_projection

loading channel_projection
Today ~$62K, about 50% below the trend line (~$125K). The channel projects to roughly $78K–$452K in a year (middle ~$152K) and $104K–$605K in two (middle ~$203K). The floor is robust; the ceiling leans on past blow-off tops that have been shrinking — read it as the soft edge.
WHERE BITCOIN STANDS IN ITS CHANNEL TODAY (MID-2026)
0%below the long-run trend line (~$62K vs ~$125K)
0thpercentile of all history — cheap, not the cheapest ever
~0Kmiddle of the 12-month channel (floor ~$78K, ceiling ~$452K)
~0mofor the gap to the trend line to close about halfway
PART 2 — THE ORBIT

The trend line isn't dying. The blow-off above it is.

Two things about that trend line surprise people. First, its slope isn't flattening to nothing. Bitcoin's growth has slowed, yes — the line bent down early on — but for about a decade the slope has held roughly steady. The power law still holds; the line keeps rising at nearly the same pace.

Second — and this is the real finding — what is dying is the overshoot. Each cycle's blow-off top reaches a smaller multiple above the trend line than the last. The dips below trend barely move. So the channel isn't symmetric going forward: expect a smaller stretch above the line next time, while the floor stays where it has always been.

price_and_distance

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Top: price vs the trend line. Bottom: the same gap as a percent above or below it, 0% = on the line. The swing UP shrinks every cycle (+1,000% in 2013 → +40% in 2025); the dips below hold near −55% to −65%. Today's gap is about −50%.

overshoot_decay

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Cycle tops, measured as how far above trend they reached: +995% (2013), +527% (2017), +258% (2021), +40% (2025). The bottoms hold near −55% to −67% every cycle. Today (amber) sits in the bottom zone.
THE OVERSHOOT IS COLLAPSING; THE FLOOR IS NOT
+0%how far above trend the 2013 top reached
+0%how far above trend the 2025 top reached — the fade
~−0%where every cycle bottom has sat below trend — steady
0.0trend-line slope — flat for a decade (the power law holds)
PART 3 — WHAT COMES NEXT

Does the distance from the trend line tell you anything?

A position is only interesting if it predicts something. So we asked the data directly: across every month of Bitcoin's history, did how far it sat above or below the trend line tell you anything about the next twelve months?

It did — and in the direction that matters for today. When Bitcoin was deep below the line, the year that followed was usually strongly up. When it was stretched far above, the next year was usually a give-back. The pull back toward the line is real: the gap closes about halfway over roughly nine months.

reversion_outcomes

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From deep below the trend line — today's zone — the next 12 months were up 98% of the time (a typical +124%). From stretched far above, the next year was up only 38% of the time (a typical −33%). Today's distance is marked on the left.
PART 4 — THE RECKONING

Does the channel survive an honest, held-back test?

A channel you draw with hindsight always looks good. The real test is out-of-sample: stand at each month in the past, draw the channel using only what was known then, jump forward 12 or 24 months, and check whether the real price landed inside it — and whether the distance-from-trend signal actually beat a fair baseline.

The verdict is encouraging but modest, and it comes with the honesty this whole report is built on.

backtest_coverage

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Across history, the channel caught about 75% of outcomes a year out and 67% two years out — close to its 8-in-10 target, leaning slightly tight rather than over-promising. The distance signal cut the typical year-out miss by about 4% versus just extending the trend line.

backtest_calibration

loading backtest_calibration
Each dot is one channel width: what it claimed to catch vs how often it actually did. The points hug the honest dashed line, dipping a little below only at the widest setting — calibrated, leaning tight, never over-promising.
THE SCORECARD — OUT-OF-SAMPLE, ACROSS ALL OF HISTORY
0%of real prices landed inside the 1-year channel (target ~80%)
0%inside the 2-year channel — slightly tight, not over-promising
0independent 1-year windows the test rests on
0independent 2-year windows — almost no evidence
PART 5 — PUTTING IT TOGETHER

Near the floor, with a dependable bottom and a fading top.

This is not advice to buy or sell, and it is not a price target. It's a map of where Bitcoin sits in its long-run channel today — about half below the trend line — what that position has historically meant, and, just as important, how little of the upside tilt survives an honest stress test.

Where we are

Near the floor of the channel — about 50% below the long-run trend line, at roughly the 16th percentile of all history. Cheap by this lens, though the 2015 and 2022 bottoms reached deeper. That's a position, not a prediction.

The trend holds

The trend line's slope isn't dying. It bent down early on, then held roughly steady for a decade. Bitcoin still tracks the same power-law path — the line keeps rising at nearly the same pace.

The overshoot fades

What is dying is the blow-off above the line: +1,000% above trend in 2013, just +40% in 2025. The dips below hold near −60% every cycle. So the forward channel has a dependable floor and a fading ceiling — expect a smaller stretch above the line next time.

The tilt

From deep below the line, the next 12 months skewed up out-of-sample (up 98% of the time in the deep-below bucket). This lens leans mildly UP — but it beats extending the trend line only by a small margin, and it rests on about three prior bottoms.

The honest size

A 1-year channel of roughly $78K–$452K (middle ~$152K) and a 2-year channel of ~$104K–$605K (middle ~$203K), with the very top discounted for the fading overshoot. A calibrated range held loosely — not a target, and not advice.

LIMITATIONS — READ THESE
  • The deep-below tendency rests on only about three prior bottoms (2015, 2018–19, 2022). Three examples is suggestive, not proof — today would be the fourth.
  • The whole channel is tested on roughly thirteen independent one-year windows and six two-year windows. Bitcoin hasn't lived long enough to prove a multi-year channel.
  • Against the fair baseline — simply extending the trend line — the distance-from-trend signal buys only a small edge a year out and almost nothing two years out. It beats 'price stays put,' but that's a low bar.
  • The channel's upper edge leans on the enormous 2013 and 2017 overshoots, which look like a thinner market's behaviour. If the overshoot keeps fading, the forward ceiling is too generous.
  • A power-law trend that has held for sixteen years carries no guarantee for the next two. Regular patterns break. This is descriptive research about position, not financial advice.

Descriptive research, not financial advice. Bitcoin is volatile and can lose most of its value in a year — as it has four times in this dataset. A trend line that has held for sixteen years is an assumption about the next two, not a fact.

Appendix — all 6 charts & the method →