Finance Department


Date of this Version


Document Type



Journal of Actuarial Practice 9 (2001), pp. 151-188


Copyright 2001 Absalom Press


Pooling of risks is an efficient risk management technique used by large employee benefit schemes of multinational companies to self-insure their retirement and other benefit obligations. This technique forms a basis for formulating a general control theoretic model for the interaction between insurance companies within a pooling network. The objective of these insurance companies is to avoid insolvency yet maintain stable premium and surplus processes. A general control system of equations that is used as a model for the interaction of m insurance companies within the network is first analyzed. An analytic solution is provided. Questions concerning the stability and optimal parameter design for the system are investigated. The special case of two identical companies is analyzed in detail.