Synopses & Reviews
From the reviews: "The highly esteemed 1990 first edition of this book now appears in a much expanded second edition. The difference between the first two English editions is entirely due to the addition of numerous exercises. The result is a truly excellent book, balancing ideally between theory and practice. ....As already hinted at above, this book provides the ideal bridge between the classical (deterministic) life insurance theory and the emerging dynamic models based on stochastic processes and the modern theory of finance. The structure of the bridge is very solid, though at the same time pleasant to walk along. I have no doubt that Gerber's book will become the standard text for many years to come. Metrika, 44, 1996, 2
Synopsis
A modern introduction to the theory of life contingencies, using the probabilistic model. A survey of the mathematics of compound interest is given, and the numerical evaluation of the distribution of aggregate claims, statistical problem of estimating death rates and other probabilities of decrement are discussed. The book contains numerous exercises (with solutions). Already in its 3rd edition.
Synopsis
From the reviews: "The highly esteemed 1990 first edition of this book now appears in a much expanded second edition. The difference between the first two English editions is entirely due to the addition of numerous exercises. The result is a truly excellent book, balancing ideally between theory and practice. ....As already hinted at above, this book provides the ideal bridge between the classical (deterministic) life insurance theory and the emerging dynamic models based on stochastic processes and the modern theory of finance. The structure of the bridge is very solid, though at the same time pleasant to walk along. I have no doubt that Gerber's book will become the standard text for many years to come. Metrika, 44, 1996, 2
Synopsis
This concise introduction to life contingencies, the theory behind the actuarial work around life insurance and pension funds, will appeal to the reader who likes applied mathematics. In addition to model of life contingencies, the theory of compound interest is explained and it is shown how mortality and other rates can be estimated from observations. The probabilistic model is used consistently throughout the book. Numerous exercises (with answers and solutions) have been added, and for this third edition several misprints have been corrected.
Description
Includes bibliographical references (p. [213]-214) and index.
Table of Contents
From the contents: The Mathematics of Compound Interest.- The Future Lifetime of a Life Aged X.- Life Insurance.- Life Annuities.- Net Premiums.- Net Premium Reserves.- Multiple Decrements.- Multiple Life Insurance.- The Total Claim Amount in a Portfolio.- Expense Loadings.- Estimating Probabilities of Death.- Appendix A: Commutation Functions.- Appendix B: Simple Interest.- Appendix C: Exercises.- Appendix D: Solutions.- Appendix E: Tables.- References.- Index.