Based on the authors experience of teaching final year actuarial students in Britain
and Australia, and suitable for a first course in insurance risk theory, this book focuses
on the two major areas of risk theory aggregate claims distributions and ruin
theory. For aggregate claims distributions, detailed descriptions are given of recursive
techniques that can be used in the individual and collective risk models. For the
collective model, different classes of counting distribution are discussed, and recursion
schemes for probability functions and moments presented. For the individual model, the
three most commonly applied techniques are discussed and illustrated. Care has been taken
to make the book accessible to readers who have a solid understanding of the basic tools
of probability theory. Numerous worked examples are included in the text and each chapter
concludes with exercises, which have answers in the book and full solutions available for
instructors from www.cambridge.org.
• Introduces the reader to recent research in ruin theory
• Covers material from professional actuarial examinations
• Challenging exercises, including actuarial exam-style questions, with answers in the
book and full solutions on www.cambridge.org
Table of Contents
1. Probability distributions and insurance applications;
2. Utility theory;
3. Principles of premium calculation;
4. The collective risk model;
5. The individual risk model;
6. Introduction to ruin theory;
7. Classical ruin theory;
8. Advanced ruin theory.
Reviews
'… requires some mathematical maturity but provides a good insight into how probability
distributions tie in with insurance applications.' Journal of Applied Statistics
'… a nice introduction to some basic aspects of risk theory, with special emphasis on
utility theory, recursive methods and ruin theory … What I appreciate most is the way in
which the author explains the different topics dealt with in this book.' Publication of
the International Statistical Institute
'This book is well written. It is also well organized. … For practitioners, it may be of
interesting reference, and a way to have a good overview of some recent developments in
ruin theory.' ASTIN Bulletin
'… a carefully and well written monograph on insurance risk and ruin, providing the
higher-year student with the basic tools and concepts in these areas. Lecturers will find
it a useful textbook for a corresponding course to teach in an actuarial program.'
Zentralblatt MATH
Hardback
242 pages