2nd Edition

An Introduction to Financial Mathematics Option Valuation

By Hugo D. Junghenn Copyright 2019
318 Pages 38 B/W Illustrations
by Chapman & Hall

316 Pages 38 B/W Illustrations
by Chapman & Hall

316 Pages 38 B/W Illustrations
by Chapman & Hall

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... Read more
1 Basic Finance
2 Probability Spaces
3 Random Variables
4 Options and Arbitrage
5 Discrete-Time Portfolio Processes
6 Expectation
7 The Binomial Model
8 Conditional Expectation
9 Martingales in Discrete Time Markets
10 American Claims in Discrete-Time Markets
11 Stochastic Calculus 
12 The Black-Scholes-Merton Model
13 Martingales in the Black-Scholes-Merton Model
14 Path Independent Options
15 Path Dependent Options
A Basic Combinatorics
B Solution of the BSM PDE
C Properties of the BSM Call Function
D Solutions to Odd-Numbered Problems

Biography

Hugo D. Junghenn is Professor of Mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including A Course in Real Analysis and Principles of Analysis: Measure, Integration, Functional Analysis, and Applications. His research interests include functional analysis, semigroups, and probability.