Context: insurance companies are important to society, since they guarantee financial protection to individuals from property losses, in addition to fostering the capital market through the allocation of guarantee assets. Thus, it is essential to evaluate the instruments that guarantee their long-term financial solvency. Among them are the adoption of reinsurance treaties, the sizing of the solvency capital, and the actuarial modeling of risk processes, which allow the measurement of the ruin probability. Objective: estimate the ruin probability in risk processes with the adoption of reinsurance contracts (quota share and excess of loss), compared to scenarios without such treaties. Methods: the Cramér-Lundberg process was simulated using the Monte Carlo method, adjusting several probabilistic distributions to the severity of the compound Poisson process, which is calibrated with a set of 3,917,863 real microdata, from 30 insurance lines of business. Results: it was found that, although each branch presents particularities in the claim severity, the correct choice of reinsurance (proportional or not) implies the reduction of the ruin probability for a fixed solvency capital. Conclusion: the appropriate choice of the reinsurance contract, especially when there is evidence of high kurtosis in the claim values, intensifies the exponential decline in the relationship between the solvency capital and the ruin probability.
Context: triggered in 2014, the Car Wash Operation (CWO) belongs to a process of changing the legal context, in the sense of greater responsibility and penalization of public and private companies’ decision makers for acts practiced in the exercise of their functions, object of the Directors’ and Officers’ liability insurance coverage (D&O). Objective: to evaluate the relationship between the growth in the revenues of D&O insurance premiums and the developments of the OCW in Brazil, under the hypothesis of a change in the perception of economic agents exposed to risks covered by D&O insurance, in a process known as probability updating. Methods: official monthly data for all active insurers, arranged longitudinally between 2003 and 2017, and using two-stage regression method for panel data. Results: the OCW had a positive effect not only to the probability of offering this type of insurance, but also to increase the volume of D&O premiums; these results are consistent with the probability-updating hypothesis. Conclusion: the OCW resulted in an increase in revenues of D&O premiums, but there was a negative relationship between OCW and the entire insurance market, suggesting significance of this operation in the sector retraction observed since its outbreak.
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