Introduction to Financial Mathematics: Concepts and Computational Methods

This Open Textbook by Arash Fahim serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk management, such as probability theory, optimization, and the like. The goal of the book is to expose the reader to a wide range of basic problems, some of which emphasize analytic ability, some requiring programming techniques and others focusing on statistical data analysis. In addition, it covers some areas which are outside the scope of mainstream financial mathematics textbooks. For example, it presents marginal account setting by the CCP and systemic risk, and a brief overview of the model risk. Inline exercises and examples are included to help students prepare for exams on this book.

The work is availabe from FSU’s Institutional Repository DigiNole. Reviews of the work are available on the books’ Open Textbook Network page.

Table of Contents

  1. Preliminaries of finance and risk management
  2. Modeling financial assets in discrete-time markets
  3. Modelling financial asserts in cotinuous-time
  4. American options

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