Results 11 to 20 of about 744 (186)
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 ...
Ema Carnia
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Control of the Black–Scholes equation
Computers and Mathematics With Applications, 2017 There are hundreds of papers dealing with the Black-Scholes equation. Yet, no one seems to have ever used the scaling invariance coming from the heat equation. And there appears to be very few studies on the "control aspect" of the equation. In previous works, J.Y. Chemin and Cl.
Claire David
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On analytical solutions of the Black–Scholes equation
Applied Mathematics Letters, 2009 This paper shows a theoretical way of finding the analytical solution of the Black-Scholes quation under a given terminal condition. The main technique is based on the Adomian approximate decomposition. The authors also claim its effectiveness to solve some other related problems in finance theory.
Martin Bohner
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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
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Group classification of a generalized Black–Scholes–Merton equation [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2014 25 ...
Stylianos Dimas
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On properties of solutions to Black–Scholes–Barenblatt equations [PDF]
Advances in Difference Equations, 2019 This paper is concerned with the Black–Scholes–Barenblatt equation ∂tu+r(x∂xu−u)+G(x2∂xxu)=0 $\partial _{t}u+r(x\partial _{x}u-u)+G(x^{2}\partial _{xx}u)=0$, where G(α)=12(σ‾2−σ_2)|α|+12(σ‾2+σ_2)α $G(\alpha )=\frac{1}{2}(\overline{\sigma}^{2}-\underline{\
Xinpeng Li, Yiqing Lin, Weicheng Xu
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A new direct method for solving the Black–Scholes equation
Applied Mathematics Letters, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pablo Sevilla-Peris, Lucas Jódar
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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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An Efficient Numerical Model for the Black–Scholes Equations
Journal of Applied MathematicsIn this paper, a novel numerical model for the Black–Scholes equations is developed. To address some potential issues that may arise when solving this equation using the conventional model, the original Black–Scholes equation is reformulated as a ...
Yan Zhou, Yunxing Zhang
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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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