Introduction to Mathematical Finance with Applications

Arlie Oswald Petters is a Professor of Mathematics, Physics, and Business Administration at Duke University. Petters is also co-author of Birkhauser's Singularity Theory and Gravitational Lensing. Xiaoying Dong is an Adjunct Assistant Professor of Mathematics at Duke University and has been a professional trader for over 20 years.

• Preface.- 1. Preliminaries and Financial Markets.- 2. The Time Value of Money.- 3. Markowitz Portfolio Theory.- 4. Capital Market Theory and Portfolio Risk Measures.- 5. Binomial Trees and Security Pricing Modeling.- 6. Stochastic Calculus and Geometric Brownian Motion Model.-  7. Derivatives: Forwards, Futures, Swaps and Options.- 8. The BSM Model and European Option Pricing.- Index.

"The book is an undergraduate textbook in mathematical finance with applications. ... The textbook is aimed at advanced undergraduates, and also at master's degree students who want a more rigorous treatment of the mathematical models in finance. This text will be a very good textbook for a year-long course on introductory mathematical finance." (Anatoliy Swishchuk, zbMATH 1348.91002, 2016)