On Technical Bases and Surplus in Life Insurance

Autor: Haçarız, Oytun, Kleinow, Torsten, Macdonald, Angus S.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We revisit surplus on general life insurance contracts, represented by Markov models. We classify technical bases in terms of boundary conditions in Thiele's equation(s), allowing more general regulations than Scandinavian-style `first-order/second-order' regimes, and replacing the traditional retrospective policy value. We propose a `canonical' model with three technical bases (premium, valuation, accumulation) and show how each pair of bases defines premium loadings and surplus. Along with a `true' or `real-world' experience basis, this expands fundamental results of Ramlau-Hansen (1988a). We conclude with two applications: lapse-supported business; and the retrospectively-oriented regime proposed by M{\o}ller & Steffensen (2007).
Comment: 33 pages, 4 Figures
Databáze: arXiv