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Life Insurance Mathematics, 3rd Edition With Exercises Contributed by Samuel H. Cox
 
 
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Life Insurance Mathematics, 3rd Edition With Exercises Contributed by Samuel H. Cox [Hardcover]

Hans U. Gerber (Author), S.H. Cox (Contributor)
3.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

354062242X 978-3540622420 March 18, 1997 3rd
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

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Language Notes

Text: English (translation)
Original Language: German

From the Back Cover

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 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. Numerous exercises (with answers and solutions) have been added, and for this third edition several misprints have been corrected.

Product Details

  • Hardcover: 236 pages
  • Publisher: Springer; 3rd edition (March 18, 1997)
  • Language: English
  • ISBN-10: 354062242X
  • ISBN-13: 978-3540622420
  • Product Dimensions: 9.4 x 6.3 x 0.7 inches
  • Shipping Weight: 1 pounds (View shipping rates and policies)
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #750,002 in Books (See Top 100 in Books)

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11 of 13 people found the following review helpful:
3.0 out of 5 stars Taxing book, April 27, 2000
This review is from: Life Insurance Mathematics, 3rd Edition With Exercises Contributed by Samuel H. Cox (Hardcover)
This book is highly recommended for those who are interested in life insurance and superannuation models. It outlines various topics such as the actuarial mathematics and models for use in the analysis and actuarial management of life insurance and superannuation contracts. Topics covered include: the main forms of life insurance and annuity contracts, disability and long term care contracts and superannuation fund benefits; actuarial notation and the life table; moments of the value of the benefit payments; Thiele's differential equation for policy values; stochastic modelling of claims and benefit payments; gross premiums, net premiums, policy values and reserves; allowing for expenses and inflation; use of discounted emerging costs and profit tests; asset shares in life insurance; termination and alteration values; cost of guarantees; joint life functions; valuation of disability insurance contracts. If you are studying actuarial subjects that involve any of the above concepts then this book is recommended. Included are many questions with answers.
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3 of 3 people found the following review helpful:
3.0 out of 5 stars Not bad, but needs more detail., January 14, 2008
This review is from: Life Insurance Mathematics, 3rd Edition With Exercises Contributed by Samuel H. Cox (Hardcover)
"Life Insurance Mathematics" is not a bad introductory book for student actuaries. This is a well set out, reasonably well explained book that covers the basic areas of this topic, including: compound interest mathematics; life tables; insurance and annuity functions; premium and reserve calculations; multiple decrements and multiple life functions.

The biggest problem with this book, is that it's just not detailed enough. At only 217 pages, the author barely has time to cover all of the topics that I just mentioned. I teach a unit in Life Insurance Mathematics and the things that my students are always asking for are examples and exercises. There are no worked examples in this text at all (although there are is reasonably large number of exercises, with solutions, in one of the appendices). Furthermore, this book only touches on the basics of Life Insurance math. It does not cover increasing annuities/insurances at all.

This is one of the better books on Life Insurance Mathematics, but only because the other books that are available aren't very good either.
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
net premium reserve, stun insured, net single premium, net annual premium, present value random variable, commutation functions, loss random variable, annual effective interest rate, total claim amount, decrement table, technical gain, solver feature, pure endowment, mortality gain, sum insured, safety loading, whole life insurance, premium reserves, net premiums, endowment insurance, acquisition expense, expected present value, future lifetime, select period
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