THE REGION OF EXISTENCE AND MATHEMATICAL MODEL TAX-FREE ECONOMY
The article raises the theoretical problem of determining the possible sustainable functioning of the economy in the emission formation of budget revenues in compliance with the conditions of the absence of inflation or its availability within controlled limits. Describes the historical conditionality of occurrence of the tax economy, the interaction between the processes of circulation of money and commodity masses, but also the inefficiency of the tax system in the conditions of monetary circulation. The possibility of an evolutionary transition to the tax-exempt economy in the regime of controlled inflation for developed countries economies. On the basis of the modified equation of exchange Fisher performed a quantitative assessment of the timing of this transition. The possibility is shown of the emission budget for both developing and developed economies. Developed and tested on real economic statistics phenomenological nonlinear mathematical model of macroeconomics that allow forecasting and planning of economic processes. This model with some modification is used to describe the functioning of tax-free economy.