Nonlinear reserving and multiple contract modifications in life insurance

Marcus C. Christiansen and Boualem Djehiche

Insurance: Mathematics and Economics, 2020, vol. 93, issue C, 187-195

Abstract: Life insurance cash flows become reserve dependent when contract conditions are modified during the contract term on condition that actuarial equivalence is maintained. As a result, insurance cash flows and prospective reserves depend on each other in a circular way, and it is a non-trivial problem to solve that circularity and make cash flows and prospective reserves well-defined. In Markovian models, the (stochastic) Thiele equation and the Cantelli Theorem are the standard tools for solving the circularity issue and for maintaining actuarial equivalence. This paper expands the stochastic Thiele equation and the Cantelli Theorem to non-Markovian frameworks and presents a recursive scheme for the calculation of multiple contract modifications.

Keywords: Implicit options; Prospective reserve; Nonlinear semi-Markov chain; Backward SDEs; Thiele equation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Working Paper: Nonlinear reserving and multiple contract modifications in life insurance (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:93:y:2020:i:c:p:187-195

DOI: 10.1016/j.insmatheco.2020.05.004

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