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Financial modeling and quantum mathematics

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Date
2013
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Abstract
Financial instruments have a random evolution and can be described by a stochastic process. It is shown that another approach for modeling financial instruments considered as a (classical) random system is by employing the mathematics that results from the formalism of quantum mechanics. Financial instruments are described by the elements of a linear vector state space and its evolution is determined by a Hamiltonian operator. It is further shown that interest rates can be described by a random function which is mathematically equivalent to a two dimensional Euclidean quantum field.
Keywords
Quantum finance
Citation
Baaquie, Belal E. (2013). Financial modeling and quantum mathematics. Computer & Mathematics with Applications, 65 (20), pp. 1665-1673.
Publisher
Elsevier

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