ABSTRACT

Introduction to Financial Mathematics: Option Valuation, Second Edition is a well-rounded primer to the mathematics and models used in the valuation of financial derivatives.

The book consists of fifteen chapters, the first ten of which develop option valuation techniques in discrete time, the last five describing the theory in continuous time.

The first half of the textbook develops basic finance and probability. The author then treats the binomial model as the primary example of discrete-time option valuation. The final part of the textbook examines the Black-Scholes model.

The book is written to provide a straightforward account of the principles of option pricing and examines these principles in detail using standard discrete and stochastic calculus models. Additionally, the second edition has new exercises and examples, and includes many tables and graphs generated by over 30 MS Excel VBA modules available on the author’s webpage https://home.gwu.edu/~hdj/.

 

chapter Chapter 1|16 pages

Basic Finance

chapter Chapter 2|18 pages

Probability Spaces

chapter Chapter 3|20 pages

Random Variables

chapter Chapter 4|24 pages

Options and Arbitrage

chapter Chapter 5|12 pages

Discrete-Time Portfolio Processes

chapter Chapter 6|16 pages

Expectation

chapter Chapter 7|18 pages

The Binomial Model

chapter Chapter 8|10 pages

Conditional Expectation

chapter Chapter 9|12 pages

Martingales in Discrete Time Markets

chapter Chapter 10|12 pages

American Claims in Discrete-Time Markets

chapter Chapter 11|24 pages

Stochastic Calculus

chapter Chapter 12|14 pages

The Black-Scholes-Merton Model

chapter Chapter 13|16 pages

Martingales in the Black-Scholes-Merton Model

chapter Chapter 14|15 pages

Path-Independent Options

chapter Chapter 15|19 pages

Path-Dependent Options