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Two-dimensional forward and backward transition rates

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1001 ‎$0‎MAPA20240021030‎$a‎Bathke, Theis
24510‎$a‎Two-dimensional forward and backward transition rates‎$c‎Theis Bathke & Marcus C. Christiansen
520  ‎$a‎Forward transition rates were originally introduced with the aim to evaluate life insurance liabilities market-consistently. While this idea turned out to have its limitations, recent literature repurposes forward transition rates as a tool for avoiding Markov assumptions in the calculation of life insurance reserves. While life insurance reserves are some form of conditional first-order moments, the calculation of conditional second-order moments needs an extension of the forward transition rate concept from one dimension to two dimensions. Two-dimensional forward transition rates are also needed for the calculation of path-dependent life insurance cash-flows as they occur upon contract modifications. Forward transition rates are designed for doing prospective calculations, and by a time-symmetric definition of so-called backward transition rates one can do retrospective calculations
650 4‎$0‎MAPA20080570590‎$a‎Seguro de vida
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080555306‎$a‎Mortalidad
650 4‎$0‎MAPA20080584290‎$a‎Contrato de seguro
7001 ‎$0‎MAPA20130002446‎$a‎Christiansen, Marcus C.
7730 ‎$w‎MAP20220007085‎$g‎15/08/2024 Volumen 14 - Número 2 - agosto 2024 , p.41-436‎$t‎European Actuarial Journal‎$d‎Cham, Switzerland : Springer Nature Switzerland AG, 2021-2022
856  ‎$u‎https://link.springer.com/article/10.1007/s13385-023-00363-3