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Quantum Finance Path Integrals and Hamiltonians for Options and Interest Rates

Description: Quantum Finance Path Integrals and Hamiltonians for Options and Interest Rates This book applies techniques from quantum mechanics and quantum field theory to financial physics. Belal E. Baaquie (Author) 9780521714785, Cambridge University Press Paperback / softback, published 23 July 2007 336 pages 24.3 x 16.8 x 1.8 cm, 0.544 kg 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. 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. Subject Areas: Physics [PH], Mathematical modelling [PBWH], Finance & accounting [KF]

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End Time: 2025-01-10T22:03:08.000Z

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Quantum Finance Path Integrals and Hamiltonians for Options and Interest Rates

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BIC Subject Area 1: Physics [PH]

BIC Subject Area 2: Mathematical modelling [PBWH]

BIC Subject Area 3: Finance & accounting [KF]

Number of Pages: 336 Pages

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

Language: English

Publisher: Cambridge University Press

Item Height: 244 mm

Subject: Finance, Mathematics

Publication Year: 2007

Type: Textbook

Item Weight: 540 g

Author: Belal E. Baaquie

Item Width: 170 mm

Format: Paperback

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