Calculations about premiums of joint life insurance under dependent conditions

Das, S (2003) found the method to calculate the pure premium of joint life insurance, which means when we suppose the life is independent, using actuary theory we can have the calculating results. In some practical problems, this result is useful. However, the lives are dependence in the real world. Therefore, we give a different method to calculate the payment of different premiums and endowments by Frank´s Copula Model and Common Hazard Model, which are the relative calculations of joint life statuses. In the mean time, we consider the way to divide premiums. Our method is better and more practical.