Penyelesaian Masalah Dual untuk Menentukan Premi Optimum pada Portofolio Heterogen

Abstract

Insurance is an agreement between two parties or more in which the insurer binds himself to the insured by receiving insurance premium to give back to the insured because of possible loss that may occur. The amount of premium is arranged and endorsed by two parties in an insurance policy. The problem that the insurance company has to be faced is the possibility that the claim submitted by the insured is bigger than the premium they got from the insured. If the total claim exceeds the total premium, the company will suffer bankruptcy. In this case it needs a proper formulation that can determine the optimum premium by solving the dual problems from the problems of minimizing a weighted squared difference of the total premium and total claim. The optimum solution that has been gotten from dual problem can be used to determine the optimum premium of the heterogenenous portfolio classification. From that formulation, allocation of optimum premium can be determined for each of uniform allocation, semiuniform, the expected value principle and the variance principle.