The Bitcoin Floor Rate
Valuing Bitcoin from its structural minimum return
Everyone asks the wrong question about Bitcoin.
"What is it worth?"
That question has no stable answer. Every model that tries — stock-to-flow, network value, comparable analysis — produces a number that shifts with assumptions about future adoption.
This paper asks a different question: what does Bitcoin do for you at its worst?
The Floor
Bitcoin's price has never breached its power law floor. Not in 15 years. Not across five halving cycles. Not during FTX, Luna, or the 2025 drawdown.
We trained the model on 2010–2020 data. Tested it blind against 2021–2026. Three market crises. Zero breaches. The closest approach: 12% above the floor, during the worst moment of the worst bear market.
The floor is real. And it grows.
The Rate
We call this growth rate the Bitcoin Floor Rate (BFR).
Today: ~38% annualized. Decelerating along a known curve — but staying above every traditional benchmark for the next four decades.
The S&P 500's celebrated 10% return? That's ~3% real. Gold? Zero real — it just keeps pace with the printing press.
The BFR is an order of magnitude above both. On the worst-case path.
The Valuation Failure
Feed these numbers into the Gordon Growth Model — the standard framework for valuing a growing asset — and it breaks.
When growth (g = 38%) exceeds the discount rate (r = 10%), the denominator goes negative. The model outputs: undefined. Infinite.
This isn't a bug. It's the correct mathematical output for an asset whose structural growth rate exceeds any fiat-denominated discount rate.
Bitcoin has no top because fiat has no bottom. The Gordon Growth Model just proved it algebraically.
The Market's Mistake
The market currently prices Bitcoin at 3.4× its annual floor growth. The premium payback period is 0.8 years — meaning the market prices in less than one year of floor continuation.
That's the valuation of a distressed asset expected to default. Yet the floor hasn't defaulted in 5,713 consecutive daily tests.
Either the market believes the floor will break tomorrow, or it hasn't done this math.
The Retirement Proof
100,000 Monte Carlo paths. 5 BTC starting stack. ~$104,000/year withdrawals. 100-year simulation.
| S&P 500 (4% SWR) | BTC Floor | |
|---|---|---|
| Capital needed | $2,600,000 | $350,000 |
| 30-year survival | ~95% | >99.99% |
| Portfolio depletes? | Yes | Stabilizes |
| Capital efficiency | 1× | 7.14× |
Five BTC does what $2.5 million in index funds cannot.
Read the Paper
36 pages. The full derivation: floor regression, BFR calculation, Gordon Growth failure, premium payback analysis, and Monte Carlo retirement proof.
Together: the floor holds, the ceiling falls, and the risk has an expiration date.
The floor is the signal. Everything above it is noise that has not yet dissipated.