The paper presents a theoretical framework for the valuation of a general insurance company to actuaries, but also aims to provide reference work for non-actuarial users of appraised values. It distinguishes between the price that may be paid for an insurance operation from what may be called the economic or appraised value. The paper describes the elements of the appraised value calculation, selection of parameters, the uses of such evaluations and explores the future development into explicit stochastic modelling rather than the implicit methodology. Theoretical and practical considerations are illustrated and example valuations of a single line insurer are given.