Stochastic Models of Financial Mathematics

A concise introduction to option pricing and stochastic interest rate models

Vigirdas Mackevicius (Author)

9781785481987

Hardback, published 12 October 2016

130 pages
22.9 x 15.1 x 1.7 cm, 0.26 kg

"The book is written at a high mathematical level, however very clearly for the reader, and will be useful both for undergraduate and post graduate students, practitioners and everybody who wants to study the basic properties of financial markets with continuous time." --Zentralblatt MATH

This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox-Ingersoll-Ross, and Heath–Jarrow–Morton interest rate models are also explored.The author presents practitioners with a basic introduction, with more rigorous information provided for mathematicians. The reader is assumed to be familiar with the basics of probability theory. Some basic knowledge of stochastic integration and differential equations theory is preferable, although all preliminary information is given in the first part of the book. Some relatively simple theoretical exercises are also provided.

1: Overview of the Basics of Stochastic Analysis

Subject Areas: Stochastics [PBWL], Game theory [PBUD]