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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433

Abstract

BERMUDEZ-AGUILAR, Esteban; MORALES-GARAY, Ismael  and  BARBOZA-SOLORZANO, Tatiana. Establishing a methodology of a dynamic salary scale of the collective capitalization pension fund of the teachers in Costa Rica. Rev. Mat [online]. 2018, vol.25, n.2, pp.215-238. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v25i2.33909.

[19]

The Teachear’s Pension Fund integrates all the workers of the national magisterium of Costa Rica who were hired after july 14th, 1992. The magisterium are integrated by funcionaries of the Ministry of Public Education, private schools, funcionaries of the National Institute of Learning and the Public Universities of the country. In order to elaborate the Actuarial Report of the fund, we require to project the future salaries of these workers. However, in order to perform this task we have find some difficulties such as: the workers not necessarily keep the same time working during the scholar year, the variability of the time designation and the lapse of time they are out of the scholar room. In view of this salary behavior, a Principal Component Analysis (PCA) was carried out to establish which variables best explain this phenomenon, and a binomial model of increase or decrease the salary anually was elaborated, which is the basis for the construction of a salary scale for the Magisterium.

Keywords : principal components analysis; stochastic modeling; salary scale; pensions; magisterium.

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