© 1990

Life Insurance Mathematics


Table of contents

  1. Front Matter
    Pages I-XIII
  2. Hans U. Gerber
    Pages 1-14
  3. Hans U. Gerber
    Pages 15-22
  4. Hans U. Gerber
    Pages 23-33
  5. Hans U. Gerber
    Pages 35-47
  6. Hans U. Gerber
    Pages 49-57
  7. Hans U. Gerber
    Pages 59-73
  8. Hans U. Gerber
    Pages 75-81
  9. Hans U. Gerber
    Pages 83-92
  10. Hans U. Gerber
    Pages 93-102
  11. Hans U. Gerber
    Pages 103-107
  12. Hans U. Gerber
    Pages 109-118
  13. Back Matter
    Pages 119-134

About this book


HaIley's Comet has been prominently displayed in many newspapers during the last few months. For the first time in 76 years it appeared this winter, clearly visible against the nocturnal sky. This is an appropriate occasion to point out the fact that Sir Edmund Halley also constructed the world's first life table in 1693, thus creating the scientific foundation of life insurance. Halley's life table and its successors were viewed as deterministic laws, i. e. the number of deaths in any given group and year was considered to be a weIl defined number that could be calculated by means of a life table. However, in reality this number is random. Thus any mathematical treatment of life insurance will have to rely more and more on prob ability theory. By sponsoring this monograph the Swiss Association of Actuaries wishes to support the "modern" probabilistic view oflife contingencies. We are fortu­ nate that Professor Gerber, an internationally renowned expert, has assumed the task of writing the monograph. We thank the Springer-Verlag and hope that this monograph will be the first in a successful series of actuarial texts. Hans Bühlmann Zürich, March 1986 President Swiss Association of Actuaries Preface Two major developments have influenced the environment of actuarial math­ ematics. One is the arrival of powerful and affordable computers; the once important problem of numerical calculation has become almost trivial in many instances.


Lebensversicherung Versicherung Versicherungsmathematik actuarial mathematics actuarial science acturial mathematics addition applied mathematics form insurance insurance mathematics life contingencies life insurance mathematics model

Authors and affiliations

  1. 1.Ecole des H. E. C.Université de LausanneLausanneSwitzerland

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