| Year | Epoch Event | Active Entities | Model Base Price | Cyclical Peak Band | Cyclical Floor Band | Implied Market Cap | Status |
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Methodology: Jurrien Timmer's S-Curve Model
Jurrien Timmer (Director of Global Macro at Fidelity) models Bitcoin's structural appreciation as an adoption curve combining Metcalfe’s Law with traditional technology diffusion S-curves (such as early mobile phones and internet protocols). By establishing $60,000 as the foundational cycle floor following the April 2024 halving, the model projects steady network utility expansion yielding $300,000 by 2029.
Supply Inelasticity & Metcalfe Exponent (k)
Unlike equities, Bitcoin has an unyielding, programmed supply cap of 21,000,000 units. Price reflects not just utility, but the mathematical intersection of fixed flow halving every 210,000 blocks and Metcalfe demand scaling. Our parameter control lets you test conservative Odlyzko sub-quadratic scaling (k = 1.7) up to aggressive pure Metcalfe quadratic scaling (k = 2.0).
Assumptions, Formula Specifications & Data Provenance
Historical Reference Points: 2016 ($650, Halving 2), 2020 ($9,100, Halving 3), 2024 ($64,000, Halving 4). Current circulation modeled with asymptotic block reward emission approaching 20,400,000 BTC by 2032.
Model Formulation: BasePrice(t) = P₀ × (Users(t) / Users₀)k × eα(t) + HalvingOscillator(t). The cyclical amplitude damps by 28% each subsequent halving cycle to reflect structural market maturation and liquidity depth.
Disclaimer: This workbench is an analytical simulation tool for network dynamics and macro scenario modeling. It does not constitute financial or investment advice.