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This books presents in a very compact way the fundamental aspects of financial mathematics. It provides the key concepts and tools a student needs to master the Exam FM of the Society of Actuaries (SOA) and the Exam 2 of the Casualty Actuarial Society (CAS). This text benefits from the vision and experience of the author, who is a professor who has taught finance, insurance, and risk management for many years. The author is also a Fellow of the Society of Actuaries. Students interested in econometrics, finance, statistics, mathematics, or other fields, will also find this book a useful tool to help them further their studies. This book can also be warmly recommended as a prerequisite reading to the students who consider taking, or are in the process of taking, the Chartered Financial Analyst (CFA) exams. Indeed, the fixed income and company valuation material studied in the CFA syllabus is fundamentally based on the financial mathematics results shown in this book. This text does not just present the material; it furthers an understanding of the foundations of financial mathematics. This book does not include exercises because it is designed to be used with the (long) series of exercises made freely available by the Society of Actuaries. The tables in the appendix link the exercises of the Society of Actuaries with the equations in the book. These tables can be a very convenient tool for providing hints for the exercises that the student cannot solve - instead of going directly to the solutions. The order in which the contents of this book are presented mostly respects the order of the Society of Actuaries and Casualty Actuarial Society syllabi. Very few adjustments were made to this order and they were done for pedagogical improvement reasons only. This text is the second one in a series dedicated to actuarial associateship exams. In each of these books, conceptual links between the contents of the various exams are provided. This book was also written in such a way that you can use it throughout your career. This book is the book the author would have liked to have when he took the Exam FM of the Society of Actuaries. It contains all the formulas that are useful to solve the official exercises of the SOA. This book is compact, theoretically solid, and not verbose. To benefit fully from this book, a mathematical background of at least one year of calculus after A-level is needed.
This book provides a thorough understanding of the fundamental concepts of financial mathematics essential for the evaluation of any financial product and instrument. Mastering concepts of present and future values of streams of cash flows under different interest rate environments is core for actuaries and financial economists. This book covers the body of knowledge required by the Society of Actuaries (SOA) for its Financial Mathematics (FM) Exam.The third edition includes major changes such as an addition of an 'R Laboratory' section in each chapter, except for Chapter 9. These sections provide R codes to do various computations, which will facilitate students to apply conceptual knowledge. Additionally, key definitions have been revised and the theme structure has been altered. Students studying undergraduate courses on financial mathematics for actuaries will find this book useful. This book offers numerous examples and exercises, some of which are adapted from previous SOA FM Exams. It is also useful for students preparing for the actuarial professional exams through self-study.
Financial Mathematics: A Study Guide for Exam FM is more than just a study manual. It is a textbook covering all of the essentials you will need to pass the Society of Actuaries' Exam FM. It covers: the theory of interest annuities and other structured cash flows loans and bonds financial derivatives, including futures, swaps, and options asset-liability management Financial Mathematics includes 150 problems and solutions, helpful hints and exam tips, and a challenging, realistic practice exam, so that you can be confident that you have mastered the syllabus. Financial Mathematics will be the foundation of your actuarial exam success. Don't wait, get it today!
Mathematical Interest Theory provides an introduction to how investments grow over time. This is done in a mathematically precise manner. The emphasis is on practical applications that give the reader a concrete understanding of why the various relationships should be true. Among the modern financial topics introduced are: arbitrage, options, futures, and swaps. Mathematical Interest Theory is written for anyone who has a strong high-school algebra background and is interested in being an informed borrower or investor. The book is suitable for a mid-level or upper-level undergraduate course or a beginning graduate course. The content of the book, along with an understanding of probability, will provide a solid foundation for readers embarking on actuarial careers. The text has been suggested by the Society of Actuaries for people preparing for the Financial Mathematics exam. To that end, Mathematical Interest Theory includes more than 260 carefully worked examples. There are over 475 problems, and numerical answers are included in an appendix. A companion student solution manual has detailed solutions to the odd-numbered problems. Most of the examples involve computation, and detailed instruction is provided on how to use the Texas Instruments BA II Plus and BA II Plus Professional calculators to efficiently solve the problems. This Third Edition updates the previous edition to cover the material in the SOA study notes FM-24-17, FM-25-17, and FM-26-17.
The study guide is designed to help in the preparation for the Society of Actuaries Exam P. The study manual is divided into two main parts. It will be most effective for those who have had courses in college calculus at least to the sophomore level and courses in probability to the sophomore or junior level.
This book teaches multiple regression and time series and how to use these to analyze real data in risk management and finance.
These lecture notes from the 1985 AMS Short Course examine a variety of topics from the contemporary theory of actuarial mathematics. Recent clarification in the concepts of probability and statistics has laid a much richer foundation for this theory. Other factors that have shaped the theory include the continuing advances in computer science, the flourishing mathematical theory of risk, developments in stochastic processes, and recent growth in the theory of finance. In turn, actuarial concepts have been applied to other areas such as biostatistics, demography, economic, and reliability engineering.