Risk Modelling in General Insurance

From Principles to Practice

Roger J. Gray, Susan M. Pitts

• Publisher: Cambridge University Press
• Year: 2012
• Print ISBN: 9780521863940
• eBook ISBN: 9781139512107
• Topic: Mathematics
• Subtopic: Applied Mathematics
• Index: Mathematics

Knowledge of risk models and the assessment of risk is a fundamental part of the training of actuaries and all who are involved in financial, pensions and insurance mathematics. This book provides students and others with a firm foundation in a wide range of statistical and probabilistic methods for the modelling of risk, including short-term risk modelling, model-based pricing, risk-sharing, ruin theory and credibility. It covers much of the international syllabuses for professional actuarial examinations in risk models, but goes into further depth, with worked examples, exercises and detailed case studies. The authors also use the statistical package R to demonstrate how simple code and functions can be used profitably in an actuarial context. The authors' engaging and pragmatic approach, balancing rigour and intuition and developed over many years of teaching the subject, makes this book ideal for self-study or for students taking courses in risk modelling.

Table of contents

• Cover
• Risk Modelling in General Insurance
• Series Page
• Title
• Contents
• Copyright
• Preface
• 1: Introduction
• 2: Models for claim numbers and claim sizes
• 3: Short term risk models
• 4: Model based pricing – setting premiums
• 5: Risk sharing – reinsurance and deductibles
• 6: Ruin theory for the classical risk model
• 7: Case studies
• Appendix A: Utility theory
• Appendix B: Answers to exercises
• References
• Index