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 interestrate-bearing bank accounts with clear danger of suffering a long-run economic decline in case of violation of the requirement.
Journal of Economic Literature Classification Numbers: E 32, O 41
Presented is a mathematical model of single-product economy describing a nominal economic growth and a nominal economic decline. Based on the model of economic dynamics, policies handling the gravity of the secular stagnation are furnished. First, transition of the secular stagnation into the secular decline is to be prevented. Second, a two-stage economic policy against the secular stagnation should be entertained. The first stage is to promote a policy of advancing the additional demand for products to counterbalance the additional supply of products by external suppliers. The second stage is to sustain a policy of savings and investments to stipulate an economic growth where the savings and investments are to be committed with a modest acceleration. Two stages of the alleviating economic policy can be executed concurrently. JEL Classification Numbers: E32, O11, C61
Presented here are simplified mathematical models to evaluate the long-term investment values. A framework of the single product economy is used, which clarifies conceptual explanation. The short-term effects are mostly discarded and focus is done on the long-term economic trends. Two models are examined. The first model estimates an equity value for the stable earnings. The second model assesses an equity value for the unstable earnings with instability caused by the capital investments. JEL Classification Numbers: E22, E32, E43
Presented is a mathematical model of single-product economy where credit expansion is used to increase the demand for product. Explored is the dynamics of affected product's price, supply and demand. Shown is that expansion of the demand carries a temporal character. JEL Classification Numbers: E32, E51, C62
Presented is a mathematical model of single-product economy where an investment and debt are used to alter the demand for and supply of product. Explored is the dynamics of a nominal economic growth and decline. Examined are cases of a constant-rate growing debt and a constant-rate and constant-acceleration growing investment. JEL Classification Numbers: E32, E51, E22
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