Power Law Calculator

Bitcoin price prediction for 2038

Power Law trend, mid-2038: $2,483,521

On the Power Law trend, Bitcoin's fair value is about $2,257,156 at the start of 2038 and $2,731,051 by the end of the year. Historically the price has swung between 0.4× and 3× the trend, which for mid-2038 means a range of roughly $993,409 in a deep bear market to $7,450,564 at a bull-market peak. From today's $81,462, the mid-2038 trend is a 30.5× move, about 34% a year compounded.

Trend on 1 Jan
$2,257,156
Trend on 31 Dec
$2,731,051
Trend growth in the year
+21%
Lower band (−60%)
$993,409
Upper band (3×)
$7,450,564
From today's price
30.5×
$10$100$1K$10K$100K$1M$10M201620222028203420402038todayBTC pricePower-law trendBand 0.4× to 3×

The trend through 2038, quarter by quarter

The table shows where the trend sits at the start of each quarter, with the two bands around it. The trend is the centre of gravity; the price itself has spent most of its history between the bands, rarely on the line.

QuarterTrend at the startLower bandUpper band
Q1$2,257,156$902,862$6,771,468
Q2$2,367,489$946,996$7,102,467
Q3$2,483,521$993,409$7,450,564
Q4$2,605,544$1,042,218$7,816,633

Where 2038 sits in the halving cycle

2038 is two years after a halving. In past cycles this is when the deepest drawdowns landed (2015, 2018, 2022), with the price sinking towards the lower band before recovering.

Cycle swings have been getting smaller each time, so these are tendencies from a handful of cycles, not a schedule.

Why the growth keeps slowing

During 2038 the trend itself rises about 21%, from $2,257,156 to $2,731,051. That rate falls every year: a power law grows fast early and more slowly as the network matures, which is why each new price target takes longer to reach than the one before.

What could break this

The model is a description of the past, fitted to data, and it can fail. Since 2010 the price has closed more than 60% below the trend on about 2% of days, all of them in 2010 and 2015, so the bands are a historical range, not a guarantee. A regulatory shock, a flaw in the protocol, or simply a change in adoption would bend the curve.

Frequently asked questions

What will Bitcoin be worth in 2038?
Nobody knows. The Power Law trend puts fair value at about $2,483,521 in mid-2038, with a historical range of $993,409 to $7,450,564. It is a map of where the price has tended to gravitate, not a prediction.
Can Bitcoin reach $1 million by 2038?
On the model, the trend itself is already above $1,000,000.
What is the lowest Bitcoin price the model allows in 2038?
The lower band, 0.4× the trend, sits near $993,409 in mid-2038. Since 2010 the price has closed below that band on about 2% of days, all of them in 2010 and 2015.
How accurate is the Power Law model?
The current fit explains about 96% of the variation in Bitcoin's price since 2010, and it is refitted daily. It says nothing about next month; its value is in the long view.
Open the calculator on 1 July 2038 Plan a monthly savings

Other years

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Numbers updated October 20, 2026 from the daily refit · price $81,462 · trend $143,791