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How required reserve ratio affects distribution and velocity of money

Author

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  • Xi, Ning
  • Ding, Ning
  • Wang, Yougui

Abstract

In this paper the dependence of wealth distribution and the velocity of money on the required reserve ratio is examined based on a random transfer model of money and computer simulations. A fractional reserve banking system is introduced to the model where money creation can be achieved by bank loans and the monetary aggregate is determined by the monetary base and the required reserve ratio. It is shown that monetary wealth follows asymmetric Laplace distribution and latency time of money follows exponential distribution. The expression of monetary wealth distribution and that of the velocity of money in terms of the required reserve ratio are presented in a good agreement with simulation results.

Suggested Citation

  • Xi, Ning & Ding, Ning & Wang, Yougui, 2005. "How required reserve ratio affects distribution and velocity of money," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 543-555.
    • Handle: RePEc:eee:phsmap:v:357:y:2005:i:3:p:543-555
    DOI: 10.1016/j.physa.2005.04.014
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    Citations

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    Cited by:

    1. Victor M. Yakovenko, 2007. "Econophysics, Statistical Mechanics Approach to," Papers 0709.3662, arXiv.org, revised Aug 2008.
    2. Nicolas Lanchier & Stephanie Reed, 2022. "Distribution of money on connected graphs with multiple banks," Papers 2201.11930, arXiv.org.
    3. Ellis Scharfenaker, 2022. "Statistical Equilibrium Methods In Analytical Political Economy," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 276-309, April.
    4. Newby, Michael & Behr, Adam & Feizabadi, Mitra Shojania, 2011. "Investigating the distribution of personal income obtained from the recent U.S. data," Economic Modelling, Elsevier, vol. 28(3), pages 1170-1173, May.
    5. Danial Ludwig & Victor M. Yakovenko, 2021. "Physics-inspired analysis of the two-class income distribution in the USA in 1983-2018," Papers 2110.03140, arXiv.org, revised Jan 2022.
    6. Stein, Julian Alexander Cornelius & Braun, Dieter, 2019. "Stability of a time-homogeneous system of money and antimoney in an agent-based random economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 232-249.
    7. Tomasz Kozubowski & Saralees Nadarajah, 2010. "Multitude of Laplace distributions," Statistical Papers, Springer, vol. 51(1), pages 127-148, January.
    8. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    9. Xing, Xiaoyun & Xiong, Wanting & Chen, Liujun & Chen, Jiawei & Wang, Yougui & Stanley, H. Eugene, 2018. "Money circulation and debt circulation: A restatement of quantity theory of money," Economics Discussion Papers 2018-1, Kiel Institute for the World Economy (IfW Kiel).
    10. Victor M. Yakovenko, 2012. "Applications of statistical mechanics to economics: Entropic origin of the probability distributions of money, income, and energy consumption," Papers 1204.6483, arXiv.org.

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