Bitcoin Average Dormancy: A Measure of Turnover and Trading Activity
Keywords:bitcoin, monetary velocity, days destroyed, Little's Law
Attempts to accurately measure the monetary velocity or related properties of Bitcoin have often attempted to either directly apply definitions from traditional macroeconomic theory or to use specialized metrics relative to the properties of the Blockchain such as bitcoin-days destroyed. In this paper, it is demonstrated that beyond being a useful metric, bitcoin-days destroyed has mathematical properties that allow one to calculate the average dormancy (time since last use in a transaction) of the bitcoins used in transactions over a given time period. In addition, transaction volume and average dormancy are shown to have unexpected significance in helping estimate the average size of the pool of traded bitcoins by virtue of the expression Little's Law, though only under limited conditions.
Antonopoulos, A. M. Mastering Bitcoin: Unlocking Digital Cryptocurrencies. Sebastopol, CA: O’Reilly Media, Inc. (2014).
Baur, Dirk G., Lee, A. D., Hong, K. H. “Bitcoin: Currency or Investment?” SSRN (2015) http://dx.doi.org/10.2139/ssrn.2561183.
Bitcoin Wiki (accessed 17 June 2017) https://en.bitcoin.it/wiki/Main Page.
Blockchain.info dataset Quandl.com (accessed 29 November 2017) https://www.quandl.com/data/BCHAIN-Blockchain.
Bouoiyour, J., Selmi, R. “What Does Bitcoin Look Like?” Annals of Economics & Finance 16.2 (2015).
Ciaian, P., Rajcaniova, M. “The Digital Agenda of Virtual Currencies: Can BitCoin Become a Global Currency?” Information Systems and e-Business Management 14.4 883-919 (2016) http://dx.doi.org/10.2791/96234.
Ciaian, P., Rajcaniova, M., Kancs, A. “The Economics of BitCoin Price Formation.” Applied Economics 48.19 1799-1815 (2016) https://doi.org/10.1080/00036846.2015.1109038.
DeLeo, M. J., Stull, W. “Does the Velocity of Bitcoins Effect the Price Level of Bitcoin?” Temple University (2014) http://www.academia.edu/8210293/Does_the_Velocity_of_Bitcoins_Effect_the_Price_Level_of_Bitcoin.
Glaser, F. “Bitcoin-Asset or Currency? Revealing Users’ Hidden Intentions.” SSRN (2014) https://ssrn.com/abstract=2425247.
Kondor, D., et al. “Do the Rich Get Richer? An Empirical Analysis of the Bitcoin Transaction Network.” PloS One 9.2 e86197 (2014) https://doi.org/10.1371/journal.pone.0086197.
Little, J. D. C. “A Proof for the Queuing Formula: L = λW.” Operations Research 9.3 383-387 (1961).
Mandelbrot, B. “The Variation of Certain Speculative Prices.” Journal of Business 36.4 394-419 (1963).
Morse, P. M. Queues, Inventories and Maintenance. New York: John Wiley & Sons (1958).
Nakamoto, S. “Bitcoin: A Peer-to-Peer Electronic Cash System.” No Publisher (2008) https://bitcoin.org/bitcoin.pdf.
Narayanan, A., Bonneau, J., Felten, E. Bitcoin and Cryptocurrency Technologies: A Comprehensive Intro- duction. Princeton: Princeton University Press (2016).
No Author. “Bitcoin’s $30 Billion Sell-off.” Chainalysis Insights (2018) https://blog.chainalysis.com/reports/money-supply.
OXT (accessed 29 November 2017) https://oxt.me.
Popuri, M.K., Gunes, M.H. “Empirical Analysis of Crypto Currencies.” In: Cherifi, H., et. al. (Eds.) Complex Networks VII. Berlin: Springer 281-292 (2016) https://doi.org/10.1007/978-3-319-30569-1_21.
Pseudonymous (Bytecoin) “Re: Bitcoin Transaction Volume” Bitcointalk.org (accessed 22 June 2017) https://bitcointalk.org/index.php?topic=6172.msg90789.
Ron, D., Shamir, A. “Quantitative Analysis of the Full Bitcoin Transaction Graph.” In: Sadeghi, A.R. (Ed.) International Conference on Financial Cryptography and Data Security. Berlin: Springer 6-24 (2013) https://doi.org/10.1007/978-3-642-39884-1_2.
Smith, R. D. “Broadcasting But Not Receiving: Density Dependence Considerations for SETI Signals.” International Journal of Astrobiology 8.02 101-105 (2009) https://doi.org/10.1017/S1473550409990097.
Smith, R. D. “Is High-Frequency Trading Inducing Changes in Market Microstructure and Dynamics?” SSRN (2010) https://dx.doi.org/10.2139/ssrn.1632077.
Toye, F. E. O., Agboh, C. K. “Bitcoin for Dummies.” The Good Wife. Season 3, Episode 13. CBS, 15 January 2012.
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