Dynamical Elements of the Monetary Theory

Here I depict the dynamics behind the monetary theory and define the differential equations describing the driving forces.Monetary Theory

Mathematical Model of Stock Market Fluctuations in the Absence of Economic Growth

There are shown the ordinary differential equations describing the fluctuations of equities, derivatives, and second derivatives on the stock market.Stock Market Fluctuations

Mathematical Dynamics of Economic Growth as Effect of Internal Savings

Paper introduces mathematical models describing long-time effects of real savings on economic growth. Models are built for single-product and multiple-product economy with market forces presented through the system of ordinary differential equations. Modeling results show a limited long-run economic growth for occasional and constant-rate systematic internal savings, a steady long-run economic growth if acceleration rate of internal savings lies within the proper limit for every industry, and a steady long-run economic decline if acceleration rate of internal savings exceeds the suitable limit for certain industry. Modeling outcome also suggests that a long-run economic growth requires direct investment of internal savings into appropriate investment vehicles with exclusion from savings-investment chain the interest-rate-bearing bank accounts with clear danger of suffering a long-run economic decline in case of violation of the requirement.Business Fluctuations; Economic Growth; Savings; Investment

Mathematical model of the supply shock crisis (COVID – 19)

Presented here is a simplified mathematical model describing a supply side crisis caused by the coronavirus pandemic (COVID – 19). Model of a single-product economy is presented where the supply shock has a constant acceleration. If amount of the supply shock has a modest positive acceleration the product earnings are positive and increasing with the passage of time. We observe an economic growth. If amount of the supply shock has a large positive acceleration the product earnings are negative and decreasing with the passage of time. We observe an economic decline. If amount of the supply shock has a negative acceleration the product earnings are negative and decreasing with the passage of time. We observe an economic decline. Economic mechanism of the supply side crisis is conceptually close to a mechanism of economic growth caused by investment. Moreover, economic system is able to overcome a modest supply-side shock and provide economic growth there. Further, the system with the passage of time produces and delivers enough amount of product to both satisfy the demand and compensate for the supply-side shock

Mathematical Model of Gravitational and Electrostatic Forces

Author presents mathematical model for acting-on-a-distance attractive and repulsive forces based on propagation of energy waves that produces Newton expression for gravitational and Coulomb expression for electrostatic forces. Model uses mathematical observation that difference between two inverse exponential functions of the distance asymptotically converges to function proportional to reciprocal of distance squared.Comment: 32 pages, 8 figure

Mathematical model of the supply shock crisis (COVID – 19)

Presented here is a simplified mathematical model describing a supply side crisis caused by the coronavirus pandemic (COVID – 19). Model of a single-product economy is presented where the supply shock has a constant acceleration. If amount of the supply shock has a modest positive acceleration the product earnings are positive and increasing with the passage of time. We observe an economic growth. If amount of the supply shock has a large positive acceleration the product earnings are negative and decreasing with the passage of time. We observe an economic decline. If amount of the supply shock has a negative acceleration the product earnings are negative and decreasing with the passage of time. We observe an economic decline. Economic mechanism of the supply side crisis is conceptually close to a mechanism of economic growth caused by investment. Moreover, economic system is able to overcome a modest supply-side shock and provide economic growth there. Further, the system with the passage of time produces and delivers enough amount of product to both satisfy the demand and compensate for the supply-side shock