Deep Dive

The Bitcoin power law

The power-law framing is the mathematical backbone of the BFV model. It is not magic. It is a compact way of describing a long-run relationship between Bitcoin price and time.

Alpha

5.82

Beta

-17.31

0.92

Data Points

365

What a power law is

A power law describes a relationship where one variable changes as a power of another. In Bitcoin’s case, the claim is that price has historically followed a long-run path that looks roughly linear when plotted on log-log axes.

Why people use it for Bitcoin

Bitcoin has had wild cyclical volatility, but its long-run growth path has still shown surprising regularity. The power-law model is one attempt to compress that pattern into a simple valuation framework.

Why BFV uses it carefully

The point is not to claim precision. The point is to create a practical reference line. If price gets far above that line, risk is usually higher. If price gets far below it, long-term opportunity has often improved.

What this means in practice

The power law is best used as a sanity check. It is most helpful when sentiment is extreme, because that is when humans are worst at judging valuation without a framework.