Neutral and Indifference Portfolio Pricing, Hedging and Investing

With applications in Equity and FX

  • Srdjan Stojanovic

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Srdjan Stojanovic
    Pages 1-18
  3. Srdjan Stojanovic
    Pages 39-91
  4. Srdjan Stojanovic
    Pages 93-147
  5. Srdjan Stojanovic
    Pages 149-161
  6. Srdjan Stojanovic
    Pages 201-247
  7. Srdjan Stojanovic
    Pages 249-256
  8. Back Matter
    Pages 257-263

About this book

Introduction

This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors. It is about some of the latest developments in pricing, hedging, and investing in incomplete markets. With regard to pricing, two frameworks are fully elaborated: neutral and indifference pricing. With regard to hedging, the most conservative and relaxed hedging formulas are derived. With regard to investing, the neutral pricing methodology is also considered as a tool for connecting market asset prices with optimal positions in such assets.

While there are many books on the financial mathematics of incomplete markets based on probability, and equivalent martingale measure approach to pricing, this book is based solely on the analytical aspects of stochastic control, or more precisely, portfolio optimization. Namely, relying solely on portfolio optimization, neutral and indifference pricing as well as hedging methodologies were fully developed in the context of arbitrary diffusive Markovian market models and portfolios of contracts. That was made possible by some recent discoveries, the most specific one being a recently found matrix inverse – the fundamental matrix of derivatives pricing and hedging.

This approach, while very general, is very feasible for practical implementations. So, many examples are fully derived. The reader will get the full understanding of the relationship between neutral and indifference pricing, how to implement either one of these pricing methodologies, how to implement hedging methodologies, and how to apply all these in equity portfolio valuations and foreign exchange.

Srdjan D. Stojanovic is Professor in the Department of Mathematical Sciences at University of Cincinnati (USA) and Professor in the Center for Financial Engineering at Suzhou University (China).

Keywords

Equity Valuation FX Derivatives Hedging Investment Portfolio Optimization Neutral and Indifference

Authors and affiliations

  • Srdjan Stojanovic
    • 1
  1. 1.Dept. MathematicsUniversity of CincinnatiCincinnatiUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-71418-9
  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-71417-2
  • Online ISBN 978-0-387-71418-9
  • About this book