Una metodología estocástica para determinar la rentabilidad financiero-actuarial-fiscal de una renta de supervivencia con primas periódicas

Abstract

This paper determines the financial-actuarial-tax return of a life annuity. Such profitability is random because it depends on the probability distribution associated to the survival of the contracting person, so a stochastic methodology is used to obtain the analytical expressions of the probability distributions of both the real and the expected returns and of some risk indicators that reflect the risk of the operation as well as its influence on the aforementioned expected return. The theoretical development is carried out considering periodic premiums under the scenarios of both pure premium and loaded premium, taking into account taxes and tax deductions. Finally, we present a numerical example that shows the applicability of the results obtained to the decision-making of the insured within a random environment with the maximum information.