Life Insurance Mathematics

Life Insurance Mathematics

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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

1 The Mathematics of Compound Interest
2 The Future Lifetime of a Life Aged x
3 Life Insurance
4 Life Annuities
5 Net Premiums
6 Net Premium Reserves
7 Multiple Decrements
8 Multiple Life Insurance
9 The Total Claim Amount in a Portfolio
10 Expense Loadings
11 Estimating Probabilities of Death
Appendix A. Commutation Functions
A.1 Introduction
A.2 The Deterministic Model
A.3 Life Annuities
A.4 Life Insurance
A.5 Net Annual Premiums and Premium Reserves
Appendix B. Simple Interest
Appendix C. Exercises
C.0 Introduction
C.1 Mathematics of Compound Interest: Exercises
C.1.1 Theory Exercises
C.1.2 Spreadsheet Exercises
C.2.1 Theory Exercises
C.2.2 Spreadsheet Exercises
C.3 Life Insurance
C.3.1 Theory Exercises
C.3.2 Spreadsheet Exercises
C.4 Life Annuities
C.4.1 Theory Exercises
C.4.2 Spreadsheet Exercises
C.5 Net Premiums
C.5.1 Notes
C.5.2 Theory Exercises
C.5.3 Spreadsheet Exercises
C.6 Net Premium Reserves
C.6.1 Theory Exercises
C.6.2 Spreadsheet Exercises
C.7 Multiple Decrements: Exercises
C.7.1 Theory Exercises
C.8 Multiple Life Insurance: Exercises
C.8.1 Theory Exercises
C.8.2 Spreadsheet Exercises
C.9 The Total Claim Amount in a Portfolio
C 9.1 Theory Exercises
C.10 Expense Loadings
C.10.1 Theory Exercises
C.10.2 Spreadsheet Exercises
C.11 Estimating Probabilities of Death
C.11.1 Theory Exercises
Appendix D. Solutions
D.0 Introduction
D.1 Mathematics of Compound Interest
D.1.1 Solutions to Theory Exercises
D.1.2 Solutions to Spreadsheet Exercises
D.2.1 Solutions to Theory Exercise
D.2.2 Solutions to Spreadsheet Exercises
D.3 Life Insurance
D.3.1 Solutions to Theory Exercises
D.3.2 Solution to Spreadsheet Exercises
D.4 Life Annuities
D.4.1 Solutions to Theory Exercises
D.4.2 Solutions to Spreadsheet Exercises
D.5 Net Premiums: Solutions
D.5.1 Theory Exercises
D.5.2 Solutions to Spreadsheet Exercises
D.6 Net Premium Reserves: Solutions
D.6.1 Theory Exercises
D.6.2 Solutions to Spreadsheet Exercises
D.7 Multiple Decrements: Solutions
D.7.1 Theory Exercises
D.8 Multiple Life Insurance: Solutions
D 8.1 Theory Exercises
D.8.2 Solutions to Spreadsheet Exercises
D.9 The Total Claim Amount in a Portfolio
D.9.1 Theory Exercises
D.10 Expense Loadings
D.10.1 Theory Exercises
D.10.2 Spreadsheet Exercises
D.11 Estimating Probabilities of Death
D.11.1 Theory Exercises
Appendix E. Tables
E.0 Illustrative Life Tables
E.1 Commutation Columns
E.2 Multiple Decrement Tables
References.
ISBN 978-3-642-08285-6
Artikelnummer 9783642082856
Medientyp Buch
Auflage 3rd ed.
Copyrightjahr 2010
Verlag Springer, Berlin
Umfang XVII, 217 Seiten
Abbildungen XVII, 217 p.
Sprache Englisch