Mathematical Foundations of Life Insurance
Author | : Lewis C. Workman |
Publisher | : |
Total Pages | : 498 |
Release | : 1982 |
Genre | : Business & Economics |
ISBN | : |
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Author | : Lewis C. Workman |
Publisher | : |
Total Pages | : 498 |
Release | : 1982 |
Genre | : Business & Economics |
ISBN | : |
Author | : Lewis C. Workman |
Publisher | : |
Total Pages | : 314 |
Release | : 1982-06-01 |
Genre | : |
ISBN | : 9780915322541 |
Author | : Lewis C. Workman |
Publisher | : |
Total Pages | : 257 |
Release | : 1982-06-01 |
Genre | : Life insurance |
ISBN | : 9780915322534 |
Author | : Hans U. Gerber |
Publisher | : Springer Science & Business Media |
Total Pages | : 137 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 3662026554 |
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.
Author | : Linnaeus Wayland Dowling |
Publisher | : |
Total Pages | : 144 |
Release | : 1925 |
Genre | : Actuarial science |
ISBN | : |
Author | : Willis Hatfield Hazard |
Publisher | : |
Total Pages | : 64 |
Release | : 1924 |
Genre | : Life insurance |
ISBN | : |
Author | : F. Etienne De Vylder |
Publisher | : Springer Science & Business Media |
Total Pages | : 186 |
Release | : 2013-03-09 |
Genre | : Business & Economics |
ISBN | : 1475726163 |
This book is different from all other books on Life Insurance by at least one of the following characteristics 1-4. 1. The treatment of life insurances at three different levels: time-capital, present value and price level. We call time-capital any distribution of a capital over time: (*) is the time-capital with amounts Cl, ~, ... , C at moments Tl, T , ..• , T resp. N 2 N For instance, let (x) be a life at instant 0 with future lifetime X. Then the whole oO oO life insurance A is the time-capital (I,X). The whole life annuity ä is the x x time-capital (1,0) + (1,1) + (1,2) + ... + (I,'X), where 'X is the integer part ofX. The present value at 0 of time-capital (*) is the random variable T1 T TN Cl V + ~ v , + ... + CNV . (**) In particular, the present value ofA 00 and ä 00 is x x 0 0 2 A = ~ and ä = 1 + v + v + ... + v'X resp. x x The price (or premium) of a time-capital is the expectation of its present value. In particular, the price ofA 00 and äx 00 is x 2 A = E(~) and ä = E(I + v + v + ... + v'X) resp.
Author | : Michael Koller |
Publisher | : Springer Science & Business Media |
Total Pages | : 222 |
Release | : 2012-03-22 |
Genre | : Mathematics |
ISBN | : 3642284396 |
The book provides a sound mathematical base for life insurance mathematics and applies the underlying concepts to concrete examples. Moreover the models presented make it possible to model life insurance policies by means of Markov chains. Two chapters covering ALM and abstract valuation concepts on the background of Solvency II complete this volume. Numerous examples and a parallel treatment of discrete and continuous approaches help the reader to implement the theory directly in practice.
Author | : Robert Earl Larson |
Publisher | : |
Total Pages | : 200 |
Release | : 1951 |
Genre | : Insurance, Life |
ISBN | : |
Author | : Walter Otto Menge |
Publisher | : |
Total Pages | : 208 |
Release | : 1935 |
Genre | : Insurance, Life |
ISBN | : |