Fundamentals of actuarial mathematics

Abstract

Introduction and motivation – The basic deterministic model – The life table – Life annuities – Life insurance – Insurance and annuity reserves – Fractional durations – Continuous payments – Select mortality – Multiple-life contracts – Multiple-decrement theory – Expenses – Survival distributions and failure times – The stochastic approach to insurance and annuities – Simplifications under level benefit contracts – The minimum failure time – The collective risk model – Risk assessment