Modeling the price of Bitcoin with geometric fractional Brownian motion: a Monte Carlo approach
classification
💱 q-fin.CP
econ.GNq-fin.ECq-fin.STstat.AP
keywords
bitcoinpricebrowniancarlofractionalgeometricmontemotion
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The long-term dependence of Bitcoin (BTC), manifesting itself through a Hurst exponent $H>0.5$, is exploited in order to predict future BTC/USD price. A Monte Carlo simulation with $10^4$ geometric fractional Brownian motion realisations is performed as extensions of historical data. The accuracy of statistical inferences is 10\%. The most probable Bitcoin price at the beginning of 2018 is 6358 USD.
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