Valuation of a multistate life insurance contract with random benefits
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.
Volume (Year): 9 (1993)
Issue (Month): Supplement 1 ()
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