Life Insurance Mathematics / by Hans U. Gerber.

Format:

Book

Author/Creator:

Gerber, Hans U., Author.

Contributor:

Vereinigung Schweizerischer Versicherungsmathematiker.

Language:

English

Subjects (All):

Statistics.

Econometrics.

Finance.

Quantitative Economics.

Financial Economics.

Local Subjects:

Statistics.

Quantitative Economics.

Financial Economics.

Physical Description:

1 online resource (XV, 220 p.)

Edition:

2nd ed. 1995.

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995.

Language Note:

English

Summary:

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 the 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. For this second, expanded edition numerous exercises (with answers and solutions) were added.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

3-662-03153-1