The article explores the relationship between inflation, unemployment, and labor force change rate in France. Researchers found a linear connection between these factors, with specific coefficients and time lags. They tested for cointegration using two methods and confirmed a long-term equilibrium relation. The study showed that the variables are cointegrated and their relationship holds over time, even after changes in monetary policy. By using advanced models, they improved forecasting accuracy for inflation rates. The integral approach used in the study proved to be more effective in predicting the evolution of price levels. Overall, the research highlights the interconnected nature of economic factors and the importance of considering long-term relationships in economic analysis.