FINITE DIFFERENCE EQUATION MODEL APPLIED TO THE SUPPLEMENTARY HEALTH SYSTEM

Abstract

This study uses a theoretical model and an empirical model based on finite difference and linear regression equations to analyze trends in the supplementary health insurance market in Brazil. The resolution of the finite difference equation model generates three possible scenarios for the market: in the first, there would be infinite growth of resources available in the industry; in the second, there would be stability, given the complementarity of the sum of the expense of the fraction with a fraction of the profit, both calculated on revenue: the resources available in the industry would be around the amount of the initial contribution paid by individuals, estimated based on linear regression; finally, in the third scenario, the system would be led to exhaustion. The results show that the system is sustainable over the long term.

Keywords
health economics; health insurance; finite difference equation