The Equilibrium Configuration Of The Life Insurance Assets

In this paper, we study the fair distribution of assets in Life Insurance under continuous time.First, we study a fair distribution of assets which are associated with the consumption. According to no arbitrage pricing theory, for the capital insurance or pure endowment, we derive what conditions should the fair distribution be satisfied in this case;Second, by virtue of utility functions, we maximize the total utility of the combination of consumption functions and wealth functions; in this setting, we use theory of dynamics programming to resolve the model, and obtain an analysis solution. This result is not only the generalization of the fair distribution corresponding to the single period model, but also can be regarded as the way to achieve the dynamics fair distribution of assets.