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Bitcoin Spreads Like a Virus
19 Pages
Posted: 23 Apr 2019
Last revised: 19 Jan 2021
Timothy Peterson
Cane Island Alternative Advisors
Date Written: March 20, 2019
In this paper we provide a mathematical derivation that links traditional time-value-of-money concepts to Metcalfe value, and use Bitcoin, Facebook as numerical examples of the proof. There is compelling evidence that suggests that the growth and price of bitcoin and other cryptocurrencies are likely to proceed according to a relatively straightforward mathematical model similar to the growth curves of Facebook and other networks. Using observed data for Bitcoin, we derive the relationships between price, number of users, and time, and show that the resulting market prices likely follow a Gompertz sigmoid growth function. This function, historically used to describe the growth of biological organisms like bacteria, tumors, and viruses, likely has some application to network economics. We conclude that the long-term growth rate in users has considerable effect on the long-term price of bitcoin.
Keywords: bitcoin, cryptocurrency, valuation, growth model, network economics, network effect, Metcalfe's Law
JEL Classification: C22, C49, C51, C53, C58, D85, E40, E42, E49, E51, G12, G17, L14
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25 References
  1. K Alabi
    Digital Blockchain Networks Appear to Be Following Metcalfe's Law. Electronic Commerce Research and Applications, volume 24, p. 23 - 29
    Posted: 2017
  2. D Andolfatto, A Spewak
    Whither the Price of Bitcoin? Economic Synopses
    Posted: 2019
  3. R Bewley, D G Fiebig
    A flexible logistic growth model with applications in telecommunications
    International Journal of Forecasting, volume 4, issue 2, p. 90076 - 90079
    Posted: 1988
  4. F Black
    Noise. The Journal of Finance, volume 41, issue 3
    Posted: 1986
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