Bitcoin: Asymmetric Tail Curvature in Bitcoin Price Quantiles
TL;DR
Benjamin Cowen introduces a mathematically rigorous Bitcoin pricing model using asymmetric tail curvature, where lower and upper price quantiles follow different mathematical functions to capture the long-term convergence of Bitcoin's rising support levels and diminishing cycle peaks.
📉 Evolution of Bitcoin Valuation Models 3 insights
Rainbow Chart showed diminishing peaks
The original 2012 rainbow chart regression bands revealed that Bitcoin cycle peaks consistently failed to reach upper bands over time, though the model used identical curvature for both tails.
Power Law captured support but missed tops
Giovanni's Power Law model (2018) accurately predicted lower structural support levels but failed to capture upper price extremes during the last two cycles.
Early quantile attempts lacked rigor
Cowen's 2020 model fitted separate 1% and 99% quantiles to capture different curvature but relied on 'eyeballing' rather than mathematical rigor.
📊 Asymmetric Tail Mechanics 3 insights
Separate functions for upper and lower tails
The new model applies distinct mathematical fits to upper and lower quantiles, allowing the upper tail to bend and decay independently while maintaining power law support below.
Convergence of price extremes
Bitcoin exhibits converging tails where cycle peaks diminish in magnitude while structural support rises, creating a narrowing channel of price expansion over time.
Current 1% quantile sits at 62K
The first quantile (Q1) support level currently resides around $62,000, meaning Bitcoin has historically spent only 1% of its time trading below this threshold.
⚠️ Historical Dislocation Scenarios 3 insights
2022-style drop targets 57-58K
If Bitcoin reached the same quantile level as the November 2022 low, price would hit approximately $57,000 to $58,000 today.
Pandemic scenario suggests 51-52K floor
A March 2020-style dislocation would push Bitcoin to roughly $51,000-$52,000 in current quantile terms.
2015 recession scare equivalent at 48-49K
The 2015 double bottom, which occurred during a recession scare and dropped 22% below Q1, would correspond to approximately $48,000-$49,000 today.
Bottom Line
Bitcoin's price structure exhibits asymmetric convergence where support rises toward 62K while euphoric peaks diminish, with severe historical dislocations suggesting potential floor levels between 48K-58K during macroeconomic stress events.
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