How Required Reserve Ratio Affects Distribution and Velocity of Money
arXiv:physics/0507160 · doi:10.1016/j.physa.2005.04.014
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.
21 pages, 8 figures
References in corpus (10)
- Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States
- Statistical mechanics of money
- Statistical mechanics of money: How saving propensity affects its distribution
- Evidence for the exponential distribution of income in the USA
- Wealth Distributions in Models of Capital Exchange
- Pareto Law in a Kinetic Model of Market with Random Saving Propensity
- Temporal evolution of the "thermal" and "superthermal" income classes in the USA during 1983-2001
- The Circulation of Money and Holding Time Distribution
- Transfer Potentials shape and equilibrate Monetary Systems
- Effects of Saving and Spending Patterns on Holding Time Distribution
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