Valuation of a multistate life insurance contract with random benefits
Svein-Arne Persson
Scandinavian Journal of Management, 1993, vol. 9, issue Supplement 1, S73-S86
Abstract:
We present a model where the value of the life insurance benefit is random. The policy is at each point in time assumed to be in one of a finite number of states and the evolution of the policy through time is modelled by a time-continuous, non-homogeneous Markov chain. The insurance period of a life insurance contract is long compared to the contract period of a typical financial contingent claim. The value of the insurance benefit is assumed to follow a geometric Gaussian process which has certain appealing properties when dealing with such long contract periods. We use the martingale arbitrage pricing theory to derive the market value of a quite general life insurance policy and deduce the corresponding Thiele's differential equation.
Keywords: Unit-linked; insurance; equity-linked; insurance; Thiele's; differential; equation; arbitrage; pricing; theory; continuous; time; Markov; chains (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:scaman:v:9:y:1993:i:supplement1:p:s73-s86
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