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Actuaries must pass exams, but more than that: they must put knowledge into practice. This coherent book supports the Society of Actuaries' short-term actuarial mathematics syllabus while emphasizing the concepts and practical application of nonlife actuarial models. A class-tested textbook for undergraduate courses in actuarial science, it is also ideal for those approaching their professional exams. Key topics covered include loss modelling, risk and ruin theory, credibility theory and applications, and empirical implementation of loss models. Revised and updated to reflect curriculum changes, this second edition includes two brand new chapters on loss reserving and ratemaking. R replaces Excel as the computation tool used throughout - the featured R code is available on the book's webpage, as are lecture slides. Numerous examples and exercises are provided, with many questions adapted from past Society of Actuaries exams.
List of contents
Preface; Notation and convention; Part I. Loss Models: 1. Claim-frequency distribution; 2. Claim-severity distribution; 3. Aggregate-loss models; Part II. Risk and Ruin: 4. Risk measures; 5. Ruin theory; Part III. Credibility: 6. Classical credibility; 7. Bühlmann credibility; 8. Bayesian approach; 9. Empirical implementation of credibility; Part IV. Model Construction and Evaluation: 10. Model estimation and types of data; 11. Nonparametric model estimation; 12. Parametric model estimation; 13. Model evaluation and selection; 14. Basic Monte Carlo methods; 15. Applications of Monte Carlo methods; Part V. Loss reserving and ratemaking: 16. Loss reserving; 17. Ratemaking; Appendix: review of statistics; Answers to Exercises; References; Index.
About the author
Yiu-Kuen Tse is an Emeritus Professor with the Singapore Management University. He has been a Fellow of the Society of Actuaries since 1993. He has published extensively in the areas of financial data analysis and financial risk management, including the book Financial Mathematics for Actuaries (third edition, 2021) which he co-authored with Wai-Sum Chan.
Summary
The second edition of this textbook for undergraduate courses in actuarial science emphasizes the concepts and practical application of nonlife actuarial models. Also ideal for those preparing for professional exams, it contains R code examples and many exercises, including questions adapted from past exams of the Society of Actuaries.
