The financial stability of the insurers is important to fulfil its role as a risk transfer mechanism and to protect the purchasers of their products. The European Union is introducing the Solvency II to modernise the current Solvency I regime and to harmonise the different insurance legislation of the members of the European Union. Solvency II introduces an architecture consisting of three pillars, with Pillar I setting the solvency capital requirements, Pillar II the governance and risk management requirements and Pillar III the reporting requirements. The South African Regulator initiated Solvency Assessment and Management for implementation in 2016 to align the South African prudential regulatory framework to meet the Solvency II requirements for third country equivalence. The problem that this study addressed is the possible effect that the introduction of Solvency Assessment and Management may have on the sustainability of short-term insurers in South Africa. The results of a empirical component of the study indicated that small and medium short-term insurers may be negatively impacted due to the costs incurred to implement and comply with the requirements of the new regulatory framework. The effect on the South African short-term industry can be that cover is concentrated among a few large short-term insurers. / Business Management / M. Com. (Business Management)

[pt] Com as falências ocorridas nas últimas décadas, no setor de seguros, um movimento surgiu para desenvolver modelos matemáticos capazes de ajudar no gerenciamento do risco, os chamados modelos internos. No Brasil, a SUSEP, seguindo a tendência mundial, exigiu que as empresas, interessadas em atuar no país, utilizassem um modelo interno para risco de subscrição. Com isto, obter um modelo interno tornou-se primordial para as empresas seguradoras no país. O modelo proposto neste trabalho ilustrado para seguro de vida para risco de subscrição se baseia em Cadeias de Markov, no Teorema Central do Limite, parte paramétrica, e na Simulação de Monte Carlo, parte não paramétrica. Em sua estrutura foi considerada a dependência entre titular e dependentes. Uma aplicação a dados reais mascarados foi feita para analisar o modelo. O capital mínimo requerido calculado utilizando o método híbrido foi comparado com o valor obtido utilizando somente o método paramétrico. Em seguida foi feita a análise de sensibilidade do modelo. / [en] The bankruptcies occurred in recent decades in the insurance sector, a movement arose to develop mathematical models capable of assisting in the management of risk, called internal models. In Brazil, the SUSEP, following the worldwide trend, demanded that the companies, interested in working in the country, using an internal model for underwriting risk. Because of this, developing an internal model has become vital for insurance companies in the country. The proposed model in this work illustrated to life insurance for the underwriting risk was based on the Markov chains, on the Central Limit Theorem to the parametric method, and Monte Carlo Simulation to the non-parametric method. In its structure, the dependence between the holder and dependents was considered. An application to masked real data was made to analyze the model. The minimum required capital calculated using the hybrid method was compared with the value obtained using only the parametric method. Then the sensitivities of the model were investigated.