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  • Textbook
  • © 2006

A Benchmark Approach to Quantitative Finance

  • first and only book presenting the so-called benchmark approach to quantitative finance -provides information and methods for a wide range of professionals, researchers and graduate students -method embedded into a self-contained textbook -modular structure with cross references, so it can also be used as a handbook -self-contained introduction that could be part of a coursework masters or Ph. D program in quantitative finance or
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Finance (FINANCE)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XX
  2. Preliminaries from Probability Theory

    • Eckhard Platen, David Heath
    Pages 1-53
  3. Statistical Methods

    • Eckhard Platen, David Heath
    Pages 55-98
  4. Modeling via Stochastic Processes

    • Eckhard Platen, David Heath
    Pages 99-132
  5. Diffusion Processes

    • Eckhard Platen, David Heath
    Pages 133-162
  6. Martingales and Stochastic Integrals

    • Eckhard Platen, David Heath
    Pages 163-203
  7. The Itô Formula

    • Eckhard Platen, David Heath
    Pages 205-235
  8. Stochastic Differential Equations

    • Eckhard Platen, David Heath
    Pages 237-275
  9. Introduction to Option Pricing

    • Eckhard Platen, David Heath
    Pages 277-318
  10. Various Approaches to Asset Pricing

    • Eckhard Platen, David Heath
    Pages 319-365
  11. Continuous Financial Markets

    • Eckhard Platen, David Heath
    Pages 367-402
  12. Portfolio Optimization

    • Eckhard Platen, David Heath
    Pages 403-437
  13. Modeling Stochastic Volatility

    • Eckhard Platen, David Heath
    Pages 439-481
  14. Minimal Market Model

    • Eckhard Platen, David Heath
    Pages 483-511
  15. Markets with Event Risk

    • Eckhard Platen, David Heath
    Pages 513-549
  16. Numerical Methods

    • Eckhard Platen, David Heath
    Pages 551-613
  17. Solutions for Exercises

    • Eckhard Platen, David Heath
    Pages 615-665
  18. Back Matter

    Pages 667-698

About this book

In recent years products based on ?nancial derivatives have become an ind- pensabletoolforriskmanagersandinvestors. Insuranceproductshavebecome part of almost every personal and business portfolio. The management of - tual and pension funds has gained in importance for most individuals. Banks, insurance companies and other corporations are increasingly using ?nancial and insurance instruments for the active management of risk. An increasing range of securities allows risks to be hedged in a way that can be closely t- lored to the speci?c needs of particular investors and companies. The ability to handle e?ciently and exploit successfully the opportunities arising from modern quantitative methods is now a key factor that di?erentiates market participants in both the ?nance and insurance ?elds. For these reasons it is important that ?nancial institutions, insurance companies and corporations develop expertise in the area of quantitative ?nance, where many of the as- ciated quantitative methods and technologies emerge. This book aims to provide an introduction to quantitative ?nance. More precisely, it presents an introduction to the mathematical framework typically usedin?nancialmodeling,derivativepricing,portfolioselectionandriskm- agement. It o?ers a uni?ed approach to risk and performance management by using the benchmark approach, which is di?erent to the prevailing paradigm and will be described in a systematic and rigorous manner. This approach uses the growth optimal portfolio as numeraire and the real world probability measure as pricing measure.

About the authors

Professor Eckhard Platen is a joint appointment between the School of Finance and Economics and the Department of Mathematical Sciences to the 1997 created Chair in Quantitative Finance at the University of Technology Sydney. Prior to this appointment he was Founding Head of the Centre for Financial Mathematics at the Institute of Advanced Studies at the Australian National University in Canberra. He completed a PhD in Mathematics at the Technical University in Dresden in 1975 and obtained in 1985 his Dr. sc. from the Academy of Sciences in Berlin, where he headed at the Weierstrass Institute the Sector of Stochastics.
He is co-author of two successful books on Numerical Methods for Stochastic Differential Equations, published by Springer Verlag, and has authored more than 100 research papers in quantitative finance and mathematics.


Dr David Heath works as a Senior Research Fellow in Quantitative Finance at the University of Technology, Sydney.  During the early 1990s he became interested in various aspects of quantitative finance.  He completed his PhD in financial mathematics at the Australian National University at the Centre for Financial Mathematics in 1995.  Since this time his main research interests have focussed on the application of advanced numerical methods for the pricing and hedging of index, equity, FX and interest rate derivatives.  These numerical methods include PDE, Monte Carlo and Markov chain methods.  He has developed a range of new quantitative methods that are specifically designed for the benchmark approach. Dr Heath has authored more than thirteen publications in financial mathematics. 

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access