Centro de Documentación de Fundación MAPFRE - Applications of mortality durations and convexities in natural hedges

Notes: Sumario: Defining and deriving the mortality durations and convexities of the prices of life insurance and annuity products with respect to an instantaneously proportional change and an instantaneously parallel shift, respectively, in µs (the forces of mortality), qs (the one-year death probabilities), ps (the one-year survival probabilities), ln?(µ)s, (q/p)s, and ln?(q/p)s, this article applies 24 proposed duration/convexity matching strategies classified into seven groups to determine the weights of two products in an insurance portfolio. The hedging performances of some qualified matching strategies selected as representatives are evaluated by comparing their Value at Risk (VaR) values and variance reduction ratios for a base scenario. We also test some specific scenarios for the population basis risk, model risk, volatility and jump risks, and interest rate risk to see the impacts on the matching strategies. Numerical examples show that some convexity matching strategies overall outperform the others in the VaR value and in the effectiveness of hedging both longevity and mortality risks for two kinds of insurance portfoliosRelated records: En: North American actuarial journal. - Schaumburg : Society of Actuaries, 1997- = ISSN 1092-0277. - 01/09/2014 Tomo 18 Número 3 - 2014 , p. 417-442Materia / lugar / evento: Matemática del seguro Cálculo actuarial Seguro de vida Modelos predictivos Esperanza de vida Gerencia de riesgos Análisis predictivos Mortalidad Otros autores: Tsai, Cary Chi-Liang
Other categories: 6

Rights: In Copyright (InC)

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