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Life insurance companies play a very important role in the financial sector. Life insurance provides individuals and the economy as a whole, a lot of important financial services. This is one of the main reasons for addressing this topic. In this paper is presented an overview of the progress of the development of the life insurance market among years and recently its trend and current position is shown. There are insurance companies that offer life insurance service in our country, their products are presented to detailed. There are several factors from different fields that directly or indirectly affect promoting the development of the life insurance market. They are presented explained and shown and their progress in parallel with the life insurance market. The special feature of this paper is an econometric study, which explains the relationship that exists between the credit factor mortgage and life insurance. The role of AMF, (Financial Supervision Agency), is mentioned as quite important in the development of the insurance market. The measures taken and targeted remain an objective quite important, on which the performance of the life insurance market depends.

This study focuses on the family, enabling data collection and processing to come to the conclusion that it spends on average a month in a family in the city of Vlora. The data was collected in written and electronic form with a form that was drafted following the study of many models performed in economically developed countries. Contribution was given by more than 100 families involved in the survey. This paper aims to look at the essence of decision-making by applying the mathematical methods that approximate the average cost per capita for the city of Vlora and are equal to 1 328 lek, the understanding of the basic concepts of these managerial and conceptual disciplines and to increase the level of application of these methods and principles among stakeholders in decision-making in all levels of politics, economy, society, etc.

In standard econometric application all variables are analyzed statistically before being used in mathematical models. In this framework we considered non-stationary distribution as an starting procedure on the study of consumer behavior in a local market area whereof non-homogeneity of buyers and small size effect could be present. By evaluation of the degree of non-stationary of the actual state for particular variable as observed, we hope to be able to estimate and interpret the model outcomes. Assuming the non-stationary of variables as indicator of the overall stet itself, we argue that the state where observation were made is non-stationary too, and for that reason, models are expected to not fit well. In the other hand, by dropping the significance level in model fitting process we expect to count for this instability whereas the model remains valid. Herewith, the logistic model for consumer behavior in our system is applied and calculated using significance level 0.85-0.90. Under such limiting constraint assumption we identified the variables that mostly affected the proportion between expense categories and the characteristics of the expenses that mostly describe the market consumer behavior in the unity studied. We hope that methodically this procedure could be helpful for other similar market or socio-metric study as well.