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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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„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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The Adomian Decomposition Method for Standard Power Options
Ratio Mathematica, 2022 Black-Scholes model derived by Black and Scholes is worldwide used mathematical model for valuing option price. This model brings a new quantitative approach for researcher to finding theoretical values of options.
Sanjay J. Ghevariya
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Studying a Tumor Growth Partial Differential Equation via the Black–Scholes Equation
Computation, 2020 Two equations are considered in this paper—the Black–Scholes equation and an equation that models the spatial dynamics of a brain tumor under some treatment regime. We shall call the latter equation the tumor equation.
Winter Sinkala, Tembinkosi F. Nkalashe
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