Quantum finance : path integrals and Hamiltonians for options and interest rates
著者
書誌事項
Quantum finance : path integrals and Hamiltonians for options and interest rates
Cambridge University Press, 2004
- : hbk
- : pbk.
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注記
Includes bibliographical references (p. 310-314) and index
Digitally printed version 2007
内容説明・目次
内容説明
This book applies the mathematics and concepts of quantum mechanics and quantum field theory to the modelling of interest rates and the theory of options. Particular emphasis is placed on path integrals and Hamiltonians. Financial mathematics is dominated by stochastic calculus. The present book offers a formulation that is completely independent of that approach. As such many results emerge from the ideas developed by the author. This work will be of interest to physicists and mathematicians working in the field of finance, to quantitative analysts in banks and finance firms and to practitioners in the field of fixed income securities and foreign exchange. The book can also be used as a graduate text for courses in financial physics and financial mathematics.
目次
- Foreword
- Preface
- Acknowledgements
- 1. Synopsis
- Part I. Fundamental Concepts of Finance: 2. Introduction to finance
- 3. Derivative securities
- Part II. Systems with Finite Number of Degrees of Freedom: 4. Hamiltonians and stock options
- 5. Path integrals and stock options
- 6. Stochastic interest rates' Hamiltonians and path integrals
- Part III. Quantum Field Theory of Interest Rates Models: 7. Quantum field theory of forward interest rates
- 8. Empirical forward interest rates and field theory models
- 9. Field theory of Treasury Bonds' derivatives and hedging
- 10. Field theory Hamiltonian of forward interest rates
- 11. Conclusions
- Appendix A: mathematical background
- Brief glossary of financial terms
- Brief glossary of physics terms
- List of main symbols
- References
- Index.
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