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Introduction to insurance mathematics. Technical and financial features of risk transfers. (English) Zbl 1211.91002

Berlin: Springer (ISBN 978-3-642-16028-8/pbk; 978-3-642-16029-5/ebook). xv, 463 p. (2011).
This book provides a basic introduction, at an undergraduate or professional level, to the technical and financial aspects of insurance mathematics, with an emphasis on life insurance.
After an elementary introduction to the concept of risk (Chapter 1 and 2), the core of the book focuses on life insurance. Chapters 3 to 7 cover all the topics of a traditional undergraduate course on life insurance (lifetime modeling, actuarial pricing, reserving and unit/index linked products), yet including more advanced issues as mortality trends, longevity risk, best-estimate reserving and profit assessment. Chapter 8 is devoted to pension plans, whereas Chapter 9 gives a classical and concise introduction to non-life insurance. Every chapter is enriched by a selection of references for further reading.
The book avoids complex mathematical tools, and it is best used as a textbook in an advanced undergraduate course in life insurance, with an extra glance at non-life and social insurance, or as a introductory manual for professionals.

MSC:

91-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to game theory, economics, and finance
91B30 Risk theory, insurance (MSC2010)
97M30 Financial and insurance mathematics (aspects of mathematics education)
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