Quantum Finance Path Integrals and Hamiltonians for Options and Interest Rates [Paperback]

This book applies techniques from quantum mechanics and quantum field theory to financial physics.The primary aim of this book is to apply 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. Financial mathematics is currently almost completely dominated by stochastic calculus. What is unique about the present book is that it offers a formulation completely independent of that approach. Many new results emerge from the ideas developed by the author.The primary aim of this book is to apply 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. Financial mathematics is currently almost completely dominated by stochastic calculus. What is unique about the present book is that it offers a formulation completely independent of that approach. Many new results emerge from the ideas developed by the author.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.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 ral£”