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This text has been written by a renowned statistician and a practising actuary, primarily as an introduction to the basics of the actuarial mathematics of life insurance. Since it attempts to derive the results in a mathematically rigorous way, the concepts and techniques of one-variable calculus and probability theory have been used throughout. Topics dealt with include important concepts of financial mathematics; the concept of interests; annuities-certain; mortality theory; different types of life insurances; stochastic cash flows in general and pure endowments, whole life and term insurances, endowments, and life annuities in particular; premium calculations; reserves; mortality profit; and negative reserves. The book contains many systematically solved examples showing the practical applications of the theory presented. Solving the problems at the end of each section is essential for understanding the material. Answers to odd-numbered problems are given at the end of the volume.
This text introduces the fundamental principles of actuarial mathematics as applied to life insurance. Written by a statistician and an actuary, it rigorously derives results using one-variable calculus and probability theory, covering essential concepts from financial mathematics and interest to annuities-certain and mortality theory. The book delves into various life insurance types, stochastic cash flows, premium calculations, reserves, and mortality profit, providing systematically solved examples to illustrate practical applications.
This textbook is designed as an introductory text for students of actuarial mathematics, particularly those focusing on life insurance. Its rigorous mathematical approach, utilizing calculus and probability, suggests it is suited for readers with a solid foundational understanding of these subjects. The inclusion of solved examples and end-of-section problems indicates a pedagogical focus aimed at reinforcing theoretical concepts with practical application.
Page Count:
350
Publication Date:
2010-01-01
ISBN-10:
9048159490
ISBN-13:
9789048159499
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