Advertisement

Fundamentals and Advanced Techniques in Derivatives Hedging

  • Bruno Bouchard
  • Jean-François Chassagneux

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Fundamental Theorems

    1. Front Matter
      Pages 1-1
    2. Bruno Bouchard, Jean-François Chassagneux
      Pages 3-53
    3. Bruno Bouchard, Jean-François Chassagneux
      Pages 55-106
    4. Bruno Bouchard, Jean-François Chassagneux
      Pages 107-124
  3. Markovian Models and PDE Approach

    1. Front Matter
      Pages 125-125
    2. Bruno Bouchard, Jean-François Chassagneux
      Pages 127-165
    3. Bruno Bouchard, Jean-François Chassagneux
      Pages 167-191
    4. Bruno Bouchard, Jean-François Chassagneux
      Pages 193-224
  4. Practical Implementation in Local and Stochastic Volatility Models

    1. Front Matter
      Pages 225-225
    2. Bruno Bouchard, Jean-François Chassagneux
      Pages 227-254
    3. Bruno Bouchard, Jean-François Chassagneux
      Pages 255-272
  5. Back Matter
    Pages 273-280

About this book

Introduction

This book covers the theory of derivatives pricing and hedging as well as techniques used in mathematical finance. The authors use a top-down approach, starting with fundamentals before moving to applications, and present theoretical developments alongside various exercises, providing many examples of practical interest.
A large spectrum of concepts and mathematical tools that are usually found in separate monographs are presented here. In addition to the no-arbitrage theory in full generality, this book also explores models and practical hedging and pricing issues. Fundamentals and Advanced Techniques in Derivatives Hedging further introduces advanced methods in probability and analysis, including Malliavin calculus and the theory of viscosity solutions, as well as the recent theory of stochastic targets and its use in risk management, making it the first textbook covering this topic.
Graduate students in applied mathematics with an understanding of probability theory and stochastic calculus will find this book useful to gain a deeper understanding of fundamental concepts and methods in mathematical finance.

Keywords

mathematical finance absence of arbitrage derivative pricing option portfolio management risk management stochastic control stochastic targets

Authors and affiliations

  • Bruno Bouchard
    • 1
  • Jean-François Chassagneux
    • 2
  1. 1.Université Paris DauphineParisFrance
  2. 2.Université Paris DiderotParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-38990-5
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-38988-2
  • Online ISBN 978-3-319-38990-5
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site