Abstract
The linear dynamic exchange model in the quantitative theory of money is presented and substantiated. This model reflects the relationship of macroeconomic indicators such as real gross domestic product (GDP) and real money supply (RMS). The model is built under the assumption that GDP is a function of the RDM and this function does not explicitly depend on time. The solution of the differential equation of the model shows that the RDM should change exponentially. To quantitatively reflect the relationship of the studied macroeconomic indicators, it is proposed to use a logarithmic dependence, which corresponds to linear graphs in the corresponding coordinates. The established relationship between GDP and RMS is in good agreement with empirical data obtained on the basis of both Russian and foreign economic statistics. The proposed dynamic exchange model can be used in the formation of monetary policy. It allows you to determine the target for the required RMS growth, depending on the target for GDP growth.
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