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A variety of quantitative concepts and models essential to understanding financial markets are introduced and explained in this broad overview of financial analytical tools designed for financial practitioners, advanced students, and researchers lacking a strong mathematical background. Coverage ranges from matrix mathematics and elementary calculus with their applications to portfolio and fixed income analysis to probability and stochastic processes with their applications to option pricing. The book is sequenced by mathematics topics, most of which are followed by relevant usage to areas such as valuation, risk management, derivatives, back-testing of financial models, and market efficiency.
The book begins by motivating the need for understanding quantitative technique with a brief discussion of financial mathematics and financial literature review. Preliminary concepts including geometric expansion, elementary statistics, and basic portfolio techniques are introduced in chapters 2 and 3. Chapters 4 and 5 present matrix mathematics and differential calculus applied to yield curves, APT, state preference theory, binomal option pricing, mean-variance analysis, and other applications. Integral calculus and differential equations follow in chapter 6. The rest of the book covers applications of probability, statistics and stochastic processes as well as a sampling of topics from numerical methods used in financial analysis.
List of contents
Preface
Introduction and Overview
Preliminary Analytical Concepts
Elementary Portfolio Mathematics
Matrix Mathematics
Differential Calculus
Integral Calculus
Introduction to Probability
Statistics and Empirical Studies in Finance
Stochastic Processes
Numerical Methods
Appendix A: Solutions to End-of-Chapter Exercises
Appendix B: Statistics Tables
Appendix C: Notation Definitions
References
Glossary
Index
About the author
John L. Teall
