Mathematical Finance: Core Theory, Problems and Statistical Algorithms

Author: Nikolai Dokuchaev

Year: 2007

Written in a rigorous yet logical and easy to use style, spanning a range of disciplines, including business, mathematics, finance and economics, this comprehensive textbook offers a systematic, self-sufficient yet concise presentation of the main topics and related parts of stochastic analysis and statistical finance that are covered in the majority of university programmes.

Providing all explanations of basic concepts and results with proofs and numerous examples and problems, it includes:

• an introduction to probability theory
• a detailed study of discrete and continuous time market models
• a comprehensive review of Ito calculus and statistical methods as a basis for statistical estimation of models for pricing
• a detailed discussion of options and their pricing, including American options in a continuous time setting.