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Author : Lewis C. Workman
Publisher :
ISBN 13 :
Total Pages : 498 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Foundations of Life Insurance written by Lewis C. Workman and published by . This book was released on 1982 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lewis C. Workman
Publisher :
ISBN 13 : 9780915322534
Total Pages : 257 pages
Book Rating : 4.3/5 (225 download)
Download or read book Mathematical Foundations of Life Insurance written by Lewis C. Workman and published by . This book was released on 1982-06-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans U. Gerber
Publisher : Springer Science & Business Media
ISBN 13 : 3662026554
Total Pages : 137 pages
Book Rating : 4.6/5 (62 download)
Download or read book Life Insurance Mathematics written by Hans U. Gerber and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Lewis C. Workman
Publisher :
ISBN 13 : 9780915322541
Total Pages : 314 pages
Book Rating : 4.3/5 (225 download)
Download or read book Mathematical Foundations of Life Insurance written by Lewis C. Workman and published by . This book was released on 1982-06-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Linnaeus Wayland Dowling
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (2 download)
Download or read book Mathematics of Life Insurance written by Linnaeus Wayland Dowling and published by . This book was released on 1925 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Willis Hatfield Hazard
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 ( download)
Download or read book The Father of Level-premium Mutual Life Insurance written by Willis Hatfield Hazard and published by . This book was released on 1924 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. Etienne De Vylder
Publisher : Springer Science & Business Media
ISBN 13 : 1475726163
Total Pages : 186 pages
Book Rating : 4.4/5 (757 download)
Download or read book Life Insurance Theory written by F. Etienne De Vylder and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3642284396
Total Pages : 222 pages
Book Rating : 4.6/5 (422 download)
Download or read book Stochastic Models in Life Insurance written by Michael Koller and published by Springer Science & Business Media. This book was released on 2012-03-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.3/5 (91 download)
Download or read book Life Insurance Mathematics written by Robert Earl Larson and published by . This book was released on 1951 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter Otto Menge
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Introduction to the Mathematics of Life Insurance written by Walter Otto Menge and published by . This book was released on 1935 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erwin Straub
Publisher : Springer Science & Business Media
ISBN 13 : 366203364X
Total Pages : 143 pages
Book Rating : 4.6/5 (62 download)
Download or read book Non-Life Insurance Mathematics written by Erwin Straub and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a comprehensive overview of modern non-life actuarial science. It starts with a verbal description (i.e. without using mathematical formulae) of the main actuarial problems to be solved in non-life practice. Then in an extensive second chapter all the mathematical tools needed to solve these problems are dealt with - now in mathematical notation. The rest of the book is devoted to the exact formulation of various problems and their possible solutions. Being a good mixture of practical problems and their actuarial solutions, the book addresses above all two types of readers: firstly students (of mathematics, probability and statistics, informatics, economics) having some mathematical knowledge, and secondly insurance practitioners who remember mathematics only from some distance. Prerequisites are basic calculus and probability theory.
Author : Walter Otto Menge
Publisher : Ulrich's Bookstore
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Mathematics of Life Insurance written by Walter Otto Menge and published by Ulrich's Bookstore. This book was released on 1965 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Mikosch
Publisher :
ISBN 13 : 9783662308080
Total Pages : 256 pages
Book Rating : 4.3/5 (8 download)
Download or read book Non-Life Insurance Mathematics written by Thomas Mikosch and published by . This book was released on 2014-09-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chester Hume Forsyth
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.F/5 ( download)
Download or read book Mathematical Theory of Life Insurance written by Chester Hume Forsyth and published by . This book was released on 1924 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lee K. Frankel
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (63 download)
Download or read book The Principles of Life Insurance written by Lee K. Frankel and published by . This book was released on 1911 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arjun K. Gupta
Publisher : Springer Science & Business Media
ISBN 13 : 9401707111
Total Pages : 359 pages
Book Rating : 4.4/5 (17 download)
Download or read book An Introduction to Actuarial Mathematics written by Arjun K. Gupta and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: to Actuarial Mathematics by A. K. Gupta Bowling Green State University, Bowling Green, Ohio, U. S. A. and T. Varga National Pension Insurance Fund. Budapest, Hungary SPRINGER-SCIENCE+BUSINESS MEDIA, B. V. A C. I. P. Catalogue record for this book is available from the Library of Congress. ISBN 978-90-481-5949-9 ISBN 978-94-017-0711-4 (eBook) DOI 10. 1007/978-94-017-0711-4 Printed on acid-free paper All Rights Reserved © 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. To Alka, Mita, and Nisha AKG To Terezia and Julianna TV TABLE OF CONTENTS PREFACE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix CHAPTER 1. FINANCIAL MATHEMATICS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1. Compound Interest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2. Present Value. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 1. 3. Annuities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 CHAPTER 2. MORTALITy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 2. 1 Survival Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 2. 2. Actuarial Functions of Mortality. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 2. 3. Mortality Tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 CHAPTER 3. LIFE INSURANCES AND ANNUITIES . . . . . . . . . . . . . . . . . . . . . 112 3. 1. Stochastic Cash Flows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 3. 2. Pure Endowments. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 3. 3. Life Insurances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 3. 4. Endowments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 3. 5. Life Annuities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 CHAPTER 4. PREMIUMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194 4. 1. Net Premiums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194 4. 2. Gross Premiums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Vll CHAPTER 5. RESERVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223 5. 1. Net Premium Reserves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223 5. 2. Mortality Profit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272 5. 3. Modified Reserves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 286 ANSWERS TO ODD-NuMBERED PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Author : Lee Kaufer Frankel
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Principles of Life Insurance written by Lee Kaufer Frankel and published by . This book was released on 1913 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
