An Introduction to Actuarial Mathematics *PT

by Gupta, A. K.; Varga, T.

• ISBN13: 9781402004605
• ISBN10: 1402004605
• Format: Hardcover
• Copyright: 2002-02-01
• Publisher: Kluwer Academic Pub

Summary

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. Audience: This work is recommended as a text for a one-semester course or one-year college course at senior level in actuarial mathematics, life insurance, or the mathematics of finance. It will be of interest to postgraduate students whose work involves actuarial studies, mathematical economics, statistics and probability, mathematical and quantitative methods, and applied probability.

Table of Contents

Preface

Financial Mathematics

Mortality

Life Insurances and Annuities

Premiums

Reserves

Answers to Odd-Numbered Problems

Compound Interest Tables

Illustrative Mortality Table

References

Symbol Index

Subject Index

Table of Contents provided by Publisher. All Rights Reserved.