Bitcoin and the Power Law: Approaching Mean Reversion or Another Broken Model?

As the gap between spot bitcoin prices and the Power Law model widens, investors are questioning whether a mean reversion is imminent or if one of the market’s cornerstone valuation frameworks is nearing its limits.

Over long periods, every major long-term valuation model for bitcoin has eventually been invalidated. Yet in this cycle, the Power Law model has remained the most resilient, maintaining a strong narrative around price trends. Historically, bitcoin has overshot the model during bull markets and dipped below it during bear markets. In the current cycle, however, the price has largely tracked the model’s trajectory.

The Power Law framework provides a mathematical lens on long-term price trends, showing that bitcoin’s historical performance follows a power law distribution on a logarithmic scale. Essentially, it quantifies the relationship between time and price. But as a model built on historical data, it is inherently backward-looking and does not guarantee future accuracy, especially in unpredictable financial markets. Its primary value lies in highlighting structural, long-term trends.

Currently, bitcoin trades below $90,000, roughly 32% below the Power Law’s $118,000 valuation. This represents the largest deviation since the yen carry trade unwind in August 2024, which produced a 35% divergence and required three months to normalize.

For context, bitcoin has spent most of this cycle closely following the Power Law, whereas prior cycles saw much wider deviations above and below the trend. By contrast, the Stock-to-Flow (S2F) model by the anonymous analyst PlanB, which links scarcity directly to value, has been invalid since January 2021. Based on current Glassnode data, the S2F model would imply a bitcoin price of roughly $1.3 million today—an unrealistic projection.

The central question now: will bitcoin mean-revert toward the Power Law trend, or could it break lower, casting doubt on yet another long-standing valuation model? Investors and analysts alike are watching closely.