About consumer optimum dynamic model and market equilibrium interest

The paper is highly attractive as it approaches two important problems, not completely solved so far because of their major calculation difficulties. It presents first the general optimal solution for consumer's dynamic model with discrete utility function. The same solution is presented in differential form and the particular cases studied lead to ,cry interesting results. Secondly it is presented the approximate solution for determining the market equilibrium interest. Usually, equilibrium problems are solved by using specific techniques of the theory of games. This paper refers to an optimum problem type max min associated with the capitalization polynomial, but the concrete result can only be found through a special approximation technique. Therefore the equilibrium interest is determined by the intersection of the credit demand curve and the deposit offer curve, assuming that we know the corresponding elasticity. The problem is solved fairly easy if the elasticity is a linear function, but we are also presented a general approximated solution.