Actuarial Models (2^nd Ed.) The Mathematics of Insurance, Second Edition

Actuarial Models: The Mathematics of Insurance, Second Edition thoroughly covers the basic models of insurance processes. It also presents the mathematical frameworks and methods used in actuarial modeling. This second edition provides an even smoother, more robust account of the main ideas and models, preparing students to take exams of the Society of Actuaries (SOA) and the Casualty Actuarial Society (CAS).

New to the Second Edition

• Revises all chapters, especially material on the surplus process
• Takes into account new results and current trends in teaching actuarial modeling
• Presents a new chapter on pension models
• Includes new problems from the 2011-2013 CAS examinations

Like its best-selling, widely adopted predecessor, this edition is designed for students, actuaries, mathematicians, and researchers interested in insurance processes and economic and social models. The author offers three clearly marked options for using the text. The first option includes the basic material for a one-semester undergraduate course, the second provides a more complete treatment ideal for a two-semester course or self-study, and the third covers more challenging topics suitable for graduate-level readers.

Preliminary Facts from Probability and Interest. Comparison of Random Variables. Preferences of Individuals. An Individual Risk Model for a Short Period. A Collective Risk Model for a Short Period. Random Processes and Their Applications I. Random Processes and Their Applications II. Global Characteristics of the Surplus Process. Survival Distributions. Life Insurance Models. Annuity Models. Premiums and Reserves. Pensions Plans. Risk Exchange: Reinsurance and Coinsurance. Appendix. References. Answers to Exercises. Index.