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Bitcoin Power Law Price Calculator

Find the Bitcoin power law’s fair value, support and resistance on any date, or enter a price to see when the model gets there. The lines match the ones on the Bitcoin Power Law dashboard.

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Fair value on that date
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Support on that date
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Resistance on that date
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Fair value reaches the target
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Support reaches the target
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Today: price against fair value
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Bitcoin against the power law, log scale
Bitcoin Power Law dashboardFull price history against every line, with past cycle tops and bottomsOpen →

How it works

The Bitcoin power law says the price grows as a fixed power of the number of days since the genesis block on January 3, 2009. On a chart with both axes on log scales that curve is a straight line, which is why the long history looks so orderly.

Fair value is the power law itself. Support and resistance are separate power laws fitted through each cycle’s bottom and top, so they move with the data. The model describes the past; it is not a promise about the future.

The formula

Price = 10^a × t^n, where t is days since January 3, 2009
Santostasi: a = −17.016, n = 5.845
Dacoinminster 2013: Price = 4.42e−17 × t^5.6
Date for a price: t = 10^((log10(Price) − a) ÷ n)

Worked example

On January 1, 2030, t is 7,668 days, and the Santostasi power law gives a fair value of about $489,700. The original 2013 Dacoinminster model gives about $251,000 for the same day. Under Santostasi, fair value first reaches $1,000,000 around September 2032.

Bitcoin Power Law Price questions

Who came up with the Bitcoin power law?

A forum user called Dacoinminster published the first version in February 2013. Physicist Giovanni Santostasi later popularized a refitted version with an exponent of about 5.8.

Is the power law a price prediction?

No. It is a fit to past prices. Bitcoin has spent long stretches far above and below fair value, and the relationship could weaken as the market matures.

Why do support and resistance sometimes not show?

They are fitted from the full price history. When that history is not available on this page, the calculator still shows fair value, which needs only the formula.

For informational and educational purposes only. Not investment advice, and not a recommendation to buy or sell any security. Results are estimates from the numbers you enter.