Bowers N.L., Gerber H.U., Hickman J.C., Jones D.F., Nesbitt S.J. Actuarial Mathematics

2nd Edition. — The Society of Actuaries, 1997. — 730 p.The book, which is the basic textbook of the Society of Actuaries USA, contains the fundamentals of mathematics of insurance. Starting with the basic models of the underlying life insurance, the authors go on to the models of risk theory to more complex models of the life insurance and pension schemes. The book is intended for actuaries, economists, and to mathematicians interested in actuarial calculations, as well as graduate and undergraduate students of economic specialties. It is used in the teaching process the Financial Academy under the Russian Federation Government.The Economics of Insurance
Individual Risk Models for a Short Term
Survival Distributions and Life Tables
Life Insurance
Life Annuities
Benefit Premiums
Benefit Reserves
Analysis of Benefit Reserves
Multiple Life Functions
Multiple Decrement Models
Applications of Multiple Decrement Theory
Collective Risk Models for a Single Period
Collective Risk Models over an Extended Period
Applications of Risk Theory
Insurance Models Including Expenses
Business and Regulatory Considerations
Special Annuities and Insurances
Advanced Multiple Life Theory
Population Theory
Theory of Pension Funding
Interest as a Random ValueAppendix 1. Normal Distribution Table
Appendix 2A. Illustrative Life Table
Appendix 2B. Illustrative Service Table
Appendix 3. Symbol Index
Appendix 4. General Rules for Symbols of Actuarial Functions
Appendix 5. Some Mathematical Formulas Useful in Actuarial Mathematics
Appendix 6. Bibliography
Appendix 7. Answers to Exercises