Finance Department

 

Date of this Version

1999

Document Type

Article

Citation

Journal of Actuarial Practice 7 (1999), pp. 205-222

Comments

Copyright 1999 Absalom Press

Abstract

A simple stochastic model of an insurer's underwriting and related investment operations is used to determine the optimal amounts of written premiums for one period for the insurer's book of business. The written premium for each class is determined by the solution of a constrained optimization problem. The insurer's objective function is the expected profit on a book of business over the period. The insurer has a safety constraint where a certain portion of capital and surplus can be depleted with a small probability. This paper provides an explicit solution for optimum expected profit and corresponding written premiums by classes. Due to the closed form nature of the solution for expected profit, insights are given as to how the optimum expected profit depends upon the model's parameters.

Share

COinS