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2026-05-21 13:08:03 UTC

α›—α›α›—α›αš± on Nostr: πŸ“ β‚Ώitcoin's True Volatility Structure β€” Οƒ(t) = Οƒ_floor + A Γ— t^(βˆ’Ξ²) ...

πŸ“ β‚Ώitcoin's True Volatility Structure β€” Οƒ(t) = Οƒ_floor + A Γ— t^(βˆ’Ξ²)

NETWORK SIGMA Οƒ(t) = 40.74%
CURRENT DVOL = 38.19%
Spread: -2.55pp | 🟠 FAIR β€” no structural edge

HV90: 41.23% | Peak: 174.21% | Floor: 20.68%
πŸŒ€ Coil: 87% compressed

VERY CHEAP 🟩 ← βˆ’8pp
CHEAP 🟒 βˆ’3 to βˆ’8pp
FAIR 🟠 ±3pp
RICH πŸ”΄ +3 to +10pp
VERY RICH πŸŸ₯ β†’ +10pp

BTC's structural vol at current network maturity β€” it doesn't panic, it doesn't chase.

Οƒ(t) = Οƒ_floor + A Γ— t^(βˆ’Ξ²)

Where:
Οƒ_floor = 0.2068 (β‰ˆ21%) β€” the empirical vol floor. The lowest HV90 ever recorded across ~4,100 rolling 90-day windows spanning Dec 2014 to May 2026.

A = 13.00 β€” the immaturity premium. Calibrated from median HV90 across the ETF era (Jan 2024–present). Fixed constant.

Ξ² = 1.461 β€” the decay rate. How fast the immaturity premium burns off.

t = network age in years from BTC genesis (Jan 3, 2009).

Calibrated: Οƒ(t) = 0.21 + 13.00 Γ— t^(βˆ’1.461)

NetworkSigma moves ~0.06pp per year. DVOL moves that in minutes. The spread between them tells you when implied vol is cheap, fair, or rich relative to realized structure.

The πŸŒ€ Coil tracks HV90 compression from its all-time peak toward the vol floor. 0% = HV90 at peak (fully expanded). 100% = HV90 at floor (maximum compression). Historically, every floor touch preceded a regime-changing move.

Vol floor + NetworkSigma + Coil framework (askHVtobidIV/Mimir) βœ…
Ξ² decay via SAOM (Koskela/Perrenod)
↳SSRN Research Paper #6666259 βœ…

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