Modern tools for modeling financial market in mathematica environment

Abstract

The financial market is a complex system influenced by a significant number of signs-factors, and its functioning is determined by a significant number of signs-results. The complexity of the model leads to the fact that when building financial market models, it is necessary to use different types of systems of the one-dimensional equations, which the model can contain from 2 to n equations, so it is difficult to form and study them not far too modern means and tools of symbolic mathematics. It is important to note that the means and instruments of symbolic mathematics, which are summarized in the Mathematica program, may quickly draw up a model of the financial market. Therefore, the study is a general description of financial market modeling tools using systems of the same equations in MATHEMATICA. The study uses methods of analysis, synthesis, and logical analysis. As part of the study, note that a model consisting of unidentified or difficult-identified equations cannot be the subject of the study, because it is considered to be of poor quality. According to the results of the study, it is proved that the MATHEMATICA program implements the mathematical expressions works included in the financial market model until it forms more identical or identical sets of equations. The program MATHEMATICA implements the study of the financial market model using the indirect method of the smallest squares and the following algorithm of actions: — form the primary form of the financial market model to identify the form of its equations; start the process of model equalization analysis by the method of the smallest squares; systematization of equality assessments for the structural form of the financial market model. Evaluation of over-identified equations by the method of the smallest squares can be stopped at the second step, as it is evidence of the quality of all the stipulated variables. The prospects of further research lie in the development of methods of modeling the financial market using uniform systems of equations and means of symbolic mathematics.