Description: This article investigates the properties of the Gompertz distribution function. Explicit formulas for continuous life insurances and annuities are given in terms of the left-truncated gamma function. Moreover, approximations for the mean, variance, skewness and kurtosis of the Gompertz distribution are also given. Finally, the article shows that using a Gompertz assumption at fractional ages produces better a approximation than the usual UDD assumption.

Description: The analytical laws of mortality such as Gompertz and Makeham are often used by actuaries to describe the survival distributions. Numerical approaches to evaluate features such as mean and variance of these distributions may be very difficult not to mention the characteristics of their life contingent functions.

Description: This paper develops a theory for the valuation of some kinds of interest sensitive cash flows. A process is derived which takes as input, assumptions about the capital markets and policy holder behaviour, and produces as output interest and decrement assumptions which can be used for conventional actuarial discounting. The methodology is illustrated using some idealized, but tractable, models of conventional non-par whole life insurance. The method is also applied to a simple Universal Life plan. The paper concludes by considering some of the problems encountered when applying the ideas to more practical problems.

Description: This paper is written totally under present Indian conditions, but keeping an eye on the future, when there will be number of insurers, and this model can be applied to any condition where a number of insurers already exist. The purpose of this paper is to attempt to measure, from the point of view of a potential life insurance policyholder, the quality of the insurers and the variability between them so that it will be helpful for potential policyholders to choose their insurers according to their requirements.