Description: In an effort to build a bridge between epidemiological and actuarial modeling, this paper analyzes possible financial arrangements made against expenses resulted from medical treatments given to insured patients. Based on classical compartment models, the first part of this paper designs insurance policies for susceptible participants facing the risk of infection and formulates the financial obligations of both parties using actuarial methodology. For practical purposes, the second part employs a variety of numerical methods for calculating premiums and reserves. The last part illustrates the methods by designing insurance products for the Great Plague in Eyam and the SARS Epidemic in Hong Kong.

Description: This article delves into a new line of statistical thinking of the author, that may be useful for product development actuaries. The key concept is how product design can produce products that diversify quickly, meaning that the company can be confident of a profitable product line, based on fewer sales than might be true for other designs.