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Dynamic behavior of a nonlinear macro-financial system

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thesis
posted on 24.05.2021, 18:13 by Azadeh Aram
We investigate dynamic behavior of the macro- financial models governed by a system of three first order differential equation involving interest rate, price exponent and investment demand. Using this mathematical model, all the possible behavior that a model shows in the operation of macro-financial system were examined, such as equilibria, stability and Hopf-bifurcations. We find out the ranges of parameters involved in the system under which the equilibria exist the relationship between the parameters and Hopf-bifurcation. Due to changes in conditions in parameters in this financial system, all the behavior of the model as well as the effects of adjustment of the macro-economic policies and adjustment of some parameter on the whole financial system behavior were discussed by applying Ruth-Hurwitz theorem. Hence, It provides better understanding of the lever function of all types of financial policies.

History

Language

eng

Degree

Master of Science

Program

Applied Mathematics

Granting Institution

Ryerson University

LAC Thesis Type

Thesis