Abstract In this work, a unified approach for evaluating the European Put and Call options as well as the Barrier options from exponential moments, the moment recovered-Laplace transform (MR-LT) inversion method is introduced. (see also 24 and 25). In addition, the insurance stop-loss premium and the bivariate probability density function and corresponding tail distribution of aggregate claims are approximated. Several examples are considered to illustrate the accuracy of newly defined approximations.
Fadahunsi et al. (Tue,) studied this question.