Bitcoin Power Law vs Prediction Markets: Which Bitcoin Price Prediction Works Best?
The Bitcoin power law is the best-known long-term Bitcoin price prediction model. Fitted to every daily Bitcoin price from July 2010 to February 2026, it explains 96% of the variation in price. A test on the same data shows it is a poor guide to the next six months. Over that horizon, the simple guess that Bitcoin stays where it is beats the power law most of the time. Short-term Bitcoin price forecasting works best in a market where many models compete and the crowd's combined view sets the price.
Power law fit, 2010 to 2026
R² 0.96
5,704 daily prices
Power law beats "no change"
After 6 months
Wins 43% at 6 months, 66% at 1 year
Glimpse forecast accuracy
92%
154 of 168 hours, October 14 to 21, 2026
What is the Bitcoin power law?
The Bitcoin power law says Bitcoin's price grows with its age raised to a fixed power. Age is counted in days since Bitcoin's first block on January 3, 2009. The best-fit power is about 5.7. Each time Bitcoin's age doubles, its trend price rises about 52 times.
A power law draws a straight line on a chart with logarithmic scales on both axes. Bitcoin's price has tracked that line for 16 years, across six orders of magnitude, from $0.05 to more than $120,000.
How strong is the Bitcoin power law fit?
R² measures how much of the movement in a series a model explains, where 1 is a perfect fit. The Bitcoin power law fit across 5,704 daily prices has an R² of 0.96. The fit has grown stronger as data has accumulated. Refitted at the start of each year using only the prices known at the time, R² has risen every year since 2016 and has held above 0.95 since January 2023. The fitted power has stayed between 5.6 and 5.9 since 2017.
Two series that both trend upward can show a high R² by coincidence. The stronger evidence is stability. A fit that keeps the same slope and keeps improving across 16 years and four market cycles points to a real long-run trend.
On that trend, Bitcoin's fair value on October 21, 2026, is about $153,900. The same line reaches about $844,000 on January 1, 2033.
Where the Bitcoin power law falls short
An R² of 0.96 describes the long run. It says little about next month. Bitcoin's typical distance from the trend is a factor of two in either direction. Since 2010, Bitcoin has traded between half and double its trend value on 69% of days. On the other 31% of days, it traded further away.
On October 21, 2026, Bitcoin trades near $84,500, about 45% below its trend value. The power law gives no view on whether that gap closes next week or in two years.
Gaps from the trend last a long time. A Bitcoin price that sits below trend today is very likely still below trend a month from now. The correlation of the gap with its own past value is 0.90 after 30 days, 0.65 after 90 days and 0.34 after 180 days. After about a year, the gap tends to reverse. Over the short run, Bitcoin's own recent price carries the most information about its next price.
Bitcoin also spends most of its time moving sideways. Since 2010, Bitcoin ended a seven-day window within 10% of its starting price 71% of the time. A small number of violent days carry much of the action. The most volatile 10% of trading days account for 41% of all of Bitcoin's price movement.
Power law forecast vs a "no change" forecast
A simple test compares the power law with the guess that Bitcoin will stay at its current price. For every day from 2015 to 2026, both methods forecast the price at a set of future dates. The power law was refitted each month using only prices known on the forecast date, so it never saw the future. Each forecast scored a win if it landed closer to the real price.
The no-change guess wins 97% of the time one day ahead and 84% of the time one month ahead. At six months, the power law still wins only 43% of the time. The power law takes the lead somewhere between six months and one year. At four years, it wins 98% of the time.
The Bitcoin power law is a strong model for 2030 or 2033 and a weak model for next week. Under six months, no single model wins consistently.
A prediction market learns from every model at once
Traders forecast Bitcoin with many models. Some use the power law. Others use volatility models, time-series models, machine learning, on-chain data or plain judgment. Each model works in some conditions and fails in others. A fixed model cannot tell when it has stopped working.
A prediction market lets these models compete with money. Glimpse runs a cost function market maker, an automated market maker that quotes a price for every possible outcome at all times. This kind of market maker is mathematically equivalent to a family of machine-learning algorithms called no-regret learners. Each trade acts as a new training example. The market maker's capped worst-case loss becomes a guarantee that, over time, the market's forecast stays close to the best fixed forecast in hindsight. The market updates with every trade and never needs anyone to refit it.
The pricing rule also rewards honesty. Under the logarithmic market scoring rule behind Glimpse, a trader earns the most, on average, by betting on exactly what they believe. A trader whose model spots something the market missed profits by moving the price toward it. A trader whose model is wrong pays for the error. The market price becomes a blend of every model in play, weighted by how much each trader is willing to risk.
The Glimpse Bitcoin price forecast for October 21 to 23, 2026
As of 17:41 UTC on Wednesday, October 21, 2026, the Glimpse Bitcoin price forecast expects Bitcoin near $84,600 at 18:00 UTC. It expects a slow drift to about $83,900 by 18:00 UTC on Thursday, October 22, and about $83,700 by 19:00 UTC on Friday, October 23.
The grey band shows how far apart traders' views are. One hour out, the typical spread is about $170. Two days out, it is about $2,400. Traders prefer to bet close to the time a market settles, so the nearest markets draw the most money and the sharpest information. Markets further out draw less money and serve as a rougher guide.
The near-term forecasts have a strong record. From October 14 to October 21, 2026, the Glimpse Bitcoin price forecast picked the correct price range in 154 of 168 hours, for 92% accuracy. Its median miss was $22.
Which Bitcoin price forecast should you use?
| Horizon | Better tool | Reason |
|---|---|---|
| Hours to days | Prediction market | Traders concentrate money and information near settlement. |
| Weeks to six months | Prediction market | Recent price beats the power law, and a market blends every model. |
| Six months to one year | Both, with care | The power law and the no-change guess trade wins. |
| More than one year | Power law | The power law wins 66% of the time at one year and 98% at four years. |
The power law shows where Bitcoin is likely heading over the next decade. It cannot say where Bitcoin will trade next week. Over that horizon, the best available forecast is the combined judgment of everyone with money on the line.
Common questions
What does the Bitcoin power law predict for 2033?
The Bitcoin power law trend reaches about $844,000 on January 1, 2033. Bitcoin has historically traded between half and double its trend value on about 69% of days.
Is the Bitcoin power law accurate?
The Bitcoin power law has an R² of 0.96 across daily prices from July 2010 to February 2026. It beats the simple no-change forecast 66% of the time one year ahead and 98% of the time four years ahead. It loses to the no-change forecast at horizons under six months.
What is the best short-term Bitcoin price prediction?
For horizons under six months, a prediction market gives the most complete Bitcoin price prediction, because it blends every trader's model into one forecast. From October 14 to October 21, 2026, the Glimpse Bitcoin price forecast picked the correct price range in 154 of 168 hours.
See the live Glimpse Bitcoin price forecast
Anyone can check the live Glimpse Bitcoin price forecast for free on the Glimpse forecast page. It updates around the clock as new bets come in. Anyone with bitcoin can add their own model to the forecast by placing a bet.
No forecast is a guarantee. Do your own research before you trade.