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题名/责任者:

Quantum field theory for economics and finance / Belal Ehsan Baaquie, The International Centre for Education in Islamic Finance.

出版发行项:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.

ISBN:

9781108423151 (hardback : alk. paper)

载体形态项:

xxvi, 690 pages : illustrations ; 26 cm.

个人责任者:

Baaquie, B. E., author.

论题主题:

Economics-Mathematical models.

论题主题:

Finance-Mathematical models.

论题主题:

Quantum field theory.

中图法分类号:

F83

书目附注:

Includes bibliographical references (pages 680-685) and index.

摘要附注:

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.

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