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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
exaly +3 more sources
Mathematics, 2018 It is well known that the Black-Scholes model is used to establish the behavior of the option pricing in the financial market. In this paper, we propose the modified version of Black-Scholes model with two assets based on the Liouville-Caputo fractional ...
Panumart Sawangtong +2 more
exaly +3 more sources
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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Symmetry Properties of Modified Black-Scholes Equation
Quantitative Methods in Economics, 2022 This paper concerns the classical and conditional symmetries of the Black-Scholes equation. Modifications of the Black-Scholes equation have also been considered and their maximal algebras of invariance have been found. Examples of creation operators for
Maciej Janowicz, Andrzej Zembrzuski
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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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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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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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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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PENENTUAN HARGA OPSI TIPE EROPA DENGAN MENGGUNAKAN MODEL BLACK SCHOLES FRAKSIONAL
Jurnal Matematika UNAND, 2020 Harga opsi tipe Eropa dapat ditentukan dengan model Black Scholes fraksional dengan waktu jatuh tempo dapat difraksional menggunakan parameter Hurst.
FITRI SABRINA +2 more
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The Progress of Black-Scholes Model and Black-Scholes-Merton Model
BCP Business & Management, 2023 Black-Scholes (BS) model was first proposed in 1973, which has been modified by Robert Merton as the Black-Scholes-Merton (BSM) model subsequently. Contemporarily, these two models have been widely used and praised by financial scholars as well as employees.
Lujian Wang, Minqing Zhang, Zhao Liu
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