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The Quantum Black-Scholes Equation [PDF]
, 2006 Motivated by the work of Segal and Segal on the Black-Scholes pricing formula in the quantum context, we study a quantum extension of the Black-Scholes equation within the context of Hudson-Parthasarathy quantum stochastic calculus.
Accardi, Luigi, Boukas, Andreas
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Lie Symmetries of (1+2) Nonautonomous Evolution Equations in Financial Mathematics
Mathematics, 2016 We analyse two classes of ( 1 + 2 ) evolution equations which are of special interest in Financial Mathematics, namely the Two-dimensional Black-Scholes Equation and the equation for the Two-factor Commodities Problem. Our approach is that of Lie
Andronikos Paliathanasis +2 more
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Efficient Markets and Contingent Claims Valuation: An Information Theoretic Approach [PDF]
Entropy, 2020 This research article shows how the pricing of derivative securities can be seen from the context of stochastic optimal control theory and information theory.
Jussi Lindgren
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Pseudo Hermitian formulation of Black-Scholes equation [PDF]
, 2011 We show that the non Hermitian Black-Scholes Hamiltonian and its various generalizations are eta-pseudo Hermitian. The metric operator eta is explicitly constructed for this class of Hamitonians.
Ataullah +20 more
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„BLACK-SCHOLES MODEL USED TO EVALUATE STOCKS OPTIONS” [PDF]
Annals of the University of Oradea: Economic Science, 2010 Partial differential equation, parabolic Black-Scholes type, is used in evaluating equity options, that paying constant and continue dividends or in evaluate options in which interest rate, volatility and dividend are dependent on time.
Turcan Radu Olimpiu Calin
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Option pricing by Nikivorou-Ovarov differential resolution method [PDF]
فصلنامه بورس اوراق بهادار, 2021 The Black-Scholes pricing theory is one of the most important ways of valuating transaction options. This equation is used to pricing a variety of European options.
mehdi abvali +3 more
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A New Solution to the Fractional Black–Scholes Equation Using the Daftardar-Gejji Method
Mathematics, 2023 The main objective of this study is to determine the existence and uniqueness of solutions to the fractional Black–Scholes equation. The solution to the fractional Black–Scholes equation is expressed as an infinite series of converging Mittag-Leffler ...
Agus Sugandha +3 more
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The Role of the Volatility in the Option Market
AppliedMath, 2023 We review some general aspects about the Black–Scholes equation, which is used for predicting the fair price of an option inside the stock market. Our analysis includes the symmetry properties of the equation and its solutions.
Ivan Arraut, Ka-I Lei
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Fractal and Fractional, 2022 An option is the right to buy or sell a good at a predetermined price in the future. For customers or financial companies, knowing an option’s pricing is crucial.
Sivaporn Ampun +2 more
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Three little arbitrage theorems
Frontiers in Applied Mathematics and Statistics, 2023 The authors proved three theorems about the exact solutions of a generalized or interacting Black–Scholes equation that explicitly includes arbitrage bubbles. These arbitrage bubbles can be characterized by an arbitrage number AN.
Mauricio Contreras G. +2 more
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