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9780521714785

Quantum Finance: Path Integrals and Hamiltonians for Options and Interest Rates

by
  • ISBN13:

    9780521714785

  • ISBN10:

    0521714788

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2007-07-23
  • Publisher: Cambridge University Press

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Summary

Financial mathematics is currently almost completely dominated by stochastic calculus. Presenting a completely independent approach, this book applies the mathematical and conceptual formalism of quantum mechanics and quantum field theory (with particular emphasis on the path integral) to the theory of options and to the modeling of interest rates. Many new results, accordingly, emerge from the author's perspective.

Table of Contents

Foreword
Preface
Acknowledgements
Synopsis
Fundamental Concepts of Finance
Introduction to finance
Derivative securities
Systems with Finite Number of Degrees of Freedom
Hamiltonians and stock options
Path integrals and stock options
Stochastic interest ratesG++ Hamiltonians and path integrals
Quantum Field Theory of Interest Rates Models
Quantum field theory of forward interest rates
Empirical forward interest rates and field theory models
Field theory of Treasury Bonds' derivatives and hedging
Field theory Hamiltonian of forward interest rates
Conclusions
mathematical background
Brief glossary of financial terms
Brief glossary of physics terms
List of main symbols
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

What is included with this book?

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