Centro de Documentación de Fundación MAPFRE - Risk aggregation and stochastic claims reserving in disability insurance

Notas: Sumario: We consider a large, homogeneous portfolio of life or disability annuity policies. The policies are assumed to be independent conditional on an external stochastic process representing the economicdemographic environment. Using a conditional law of large numbers, we establish the connection between claims reserving and risk aggregation for large portfolios. Further, we derive a partial differential equation for moments of present values. Moreover, we show how statistical multi-factor intensity models can be approximated by one-factor models, which allows for solving the PDEs very efficiently. Finally, we give a numerical example where moments of present values of disability annuities are computed using finite-difference methods and Monte Carlo simulations.Registros relacionados: En: Insurance : mathematics and economics. - Oxford : Elsevier, 1990- = ISSN 0167-6687. - 03/11/2014 Volumen 59 Número 1 - noviembre 2014 , p. 100-108Materia / lugar / evento: Matemática del seguro Cálculo actuarial Seguro de invalidez Procesos estocásticos Simulación Monte Carlo Técnicas estadísticas multivariantes Otros autores: Löfdahl, Björn
Outras classificações: 6

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