quantum finance path integrals and hamiltonians for options and interest rates

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Quantum Finance

Author : Belal E. Baaquie
ISBN : 1139456393
Genre : Business & Economics
File Size : 44. 51 MB
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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.

Quantum Finance

Author : Belal E. Baaquie
ISBN : 0521714788
Genre : Business & Economics
File Size : 58. 11 MB
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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.

Quantum Finance

Author : B. E. Baaquie
ISBN : 0521840457
Genre : Science
File Size : 32. 21 MB
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This book applies techniques from quantum mechanics and quantum field theory to financial physics.

Interest Rates And Coupon Bonds In Quantum Finance

Author : Belal E. Baaquie
ISBN : 9781139483551
Genre : Science
File Size : 48. 7 MB
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The economic crisis of 2008 has shown that the capital markets need new theoretical and mathematical concepts to describe and price financial instruments. Focusing on interest rates and coupon bonds, this book does not employ stochastic calculus – the bedrock of the present day mathematical finance – for any of the derivations. Instead, it analyzes interest rates and coupon bonds using quantum finance. The Heath-Jarrow-Morton and the Libor Market Model are generalized by realizing the forward and Libor interest rates as an imperfectly correlated quantum field. Theoretical models have been calibrated and tested using bond and interest rates market data. Building on the principles formulated in the author's previous book (Quantum Finance, Cambridge University Press, 2004) this ground-breaking book brings together a diverse collection of theoretical and mathematical interest rate models. It will interest physicists and mathematicians researching in finance, and professionals working in the finance industry.

Quantum Field Theory For Economics And Finance

Author : Belal Ehsan Baaquie
ISBN : 1108423159
Genre : Science
File Size : 27. 56 MB
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An introduction to how the mathematical tools from quantum field theory can be applied to economics and finance, providing a wide range of quantum mathematical techniques for designing financial instruments. The ideas of Lagrangians, Hamiltonians, state spaces, operators and Feynman path integrals are demonstrated to be the mathematical underpinning of quantum field theory, and which are employed to formulate a comprehensive mathematical theory of asset pricing as well as of interest rates, which are validated by empirical evidence. Numerical algorithms and simulations are applied to the study of asset pricing models as well as of nonlinear interest rates. A range of economic and financial topics are shown to have quantum mechanical formulations, including options, coupon bonds, nonlinear interest rates, risky bonds and the microeconomic action functional. This is an invaluable resource for experts in quantitative finance and in mathematics who have no specialist knowledge of quantum field theory.

Path Integrals And Hamiltonians

Author : Belal E. Baaquie
ISBN : 9781107009790
Genre : Science
File Size : 67. 41 MB
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Introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.

Physics Of Finance

Author : Kirill Ilinski
ISBN : 0471877387
Genre : Business & Economics
File Size : 69. 3 MB
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One of the newest and most controversial approaches to financial pricing. In Physics of Finance the author applies the methods of theoretical physics to financial economics to develop an altogether original method for pricing financial assets that steps outside the equilibrium paradigm in finance. In Physics of Finance, basic assumptions underlying equilibrium pricing are re-examined, the risk factors hidden in the implications of equilibrium theory and the potential profit in unstable markets are discussed and gauge modelling is introduced.

Quantum Trading

Author : Fabio Oreste
ISBN : 1118093526
Genre : Business & Economics
File Size : 32. 49 MB
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A cutting-edge guide to quantum trading Original and thought-provoking, Quantum Trading presents a compelling new way to look at technical analysis and will help you use the proven principles of modern physics to forecast financial markets. In it, author Fabio Oreste shows how both the theory of relativity and quantum physics is required to makes sense of price behavior and forecast intermediate and long-term tops and bottoms. He relates his work to that of legendary trader W.D. Gann and reveals how Gann's somewhat esoteric theories are consistent with his applications of Einstein's theory of relativity and quantum theory to price behavior. Applies concepts from modern science to financial market forecasting Shows how to generate support/resistance areas and identify potential market turning points Addresses how non-linear approaches to trading can be used to both understand and forecast market prices While no trading approach is perfect, the techniques found within these pages have enabled the author to achieve a very attractive annual return since 2002. See what his insights can do for you.

Gender Through The Prism Of Difference

Author : Maxine Baca Zinn
ISBN : 9780190200046
Genre : Sex role
File Size : 49. 49 MB
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Revised edition of Gender through the prism of difference, 2011.

Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets

Author : Hagen Kleinert
ISBN : 9789814273572
Genre : Mathematics
File Size : 28. 10 MB
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This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have been made possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman''s time-sliced formula to include singular attractive 1/r- and 1/r2-potentials. The second is a new nonholonomic mapping principle carrying physical laws in flat spacetime to spacetimes with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations. In addition to the time-sliced definition, the author gives a perturbative, coordinate-independent definition of path integrals, which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely products of distributions. The powerful Feynman-Kleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent results. The convergence is uniform from weak to strong couplings, opening a way to precise evaluations of analytically unsolvable path integrals in the strong-coupling regime where they describe critical phenomena. Tunneling processes are treated in detail, with applications to the lifetimes of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions. A variational treatment extends the range of validity to small barriers. A corresponding extension of the large-order perturbation theory now also applies to small orders. Special attention is devoted to path integrals with topological restrictions needed to understand the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The ChernoOe1/4OC Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect. The relevance of path integrals to financial markets is discussed, and improvements of the famous BlackoOe1/4OC Scholes formula for option prices are developed which account for the fact, recently experienced in the world markets, that large fluctuations occur much more frequently than in Gaussian distributions."

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