On the Utility of Money
On the Utility of Money

Summary/Abstract: The paper studies the concept of utility of money. The latter is defined as the ability to generate additional income. Utility of money is maximized by equalizing dynamic marginal utility of money and marginal cost. The subsequent differential equation links up income velocity of money acceleration and equilibrium convergence. It is proved that individuals’ utility of money maximization objectives may be aggregated at macro level and can be used for monetary policy optimization. Lagrangian multipliers technique is applied to obtain a relationship between income velocity of money and some supplementary constraints. The paper also makes distinction between short-term and long-term utility of money. Conclusions about different types of monetary policies are derived. The Appendix establishes connections with production and investment on the basis of optimal control technique.

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