Bitcoin Power Law Calculator
Formula under review
Bitcoin.ink is currently reviewing the formula, coefficients, source data, and methodology used for this model. Numerical projections will be enabled after the model has been fully documented and independently tested.
Explore potential Bitcoin price ranges by year using configurable Power Law assumptions. This mathematical model is educational and does not guarantee Bitcoin's future price.
Model Inputs
Model Currently Under Review
Bitcoin.ink is currently reviewing the formula, coefficients, source data, and methodology used for this model. Numerical projections will be enabled after the model has been fully documented and independently tested.
What Is the Bitcoin Power Law?
The Bitcoin Power Law is a mathematical model that observes the historical relationship between Bitcoin's price and the time elapsed since its creation (the Genesis Block). Unlike traditional finance models that often use exponential growth, this approach suggests Bitcoin's price grows proportionally to the power of time.
This creates a relatively predictable channel on a logarithmic scale, defined by three main curves: a lower support floor, a central trend line, and an upper resistance ceiling.
How This Calculator Works
This calculator utilizes the Power Law equation: Price = A * (Days since Genesis)^n.
- A (Coefficient): A scaling factor that aligns the model with historical dollar values.
- n (Exponent): The "power" that defines the slope of the growth.
- Days since Genesis: The number of days since January 3, 2009.
Understanding Support, Trend, and Upper Ranges
The model doesn't predict an exact price, but rather explores a potential channel:
- Support Range: A lower boundary in the modeled channel.
- Central Trend: The midpoint or central path of the modeled channel.
- Upper Range: An upper boundary in the modeled channel.
Limitations of the Model
While the Power Law has tracked Bitcoin with surprising accuracy for over a decade, it is a descriptive model, not a prescriptive one. There is no physical law that requires Bitcoin to follow this path forever. External factors like regulation, global economic shifts, or technical failures could cause the price to deviate permanently from the model.