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Numerical Solution of Fractional Black-Scholes Equation by Using Radial Basis Function (RBF) Approximation Method

پژوهش‌های ریاضی, 2020
Introduction Fractional Differential Calculus (FDC) began in the 17th century and its initial discussions were related to the works of Leibniz, Lagrange, Abel and others.
Sedighe Sharifian, Ali R. Siheili, A. Neisy   +2 more
doaj  

Penilaian Harga Opsi Put Saham NVIDIA Menggunakan Model Black–Scholes dan LSTM

Techno.Com
Saham NVIDIA dalam beberapa tahun terakhir mengalami pertumbuhan laba dan volatilitas harga yang cukup tinggi. Volatilitas ini dapat menimbulkan risiko kerugian akibat penurunan harga saham.
Rifky Miftaqul Ilmi, Ramdhan Fazrianto Suwarman, Lita Wulandari Aeli   +2 more
doaj   +1 more source

Using a Mix of Finite Difference Methods and Fractional Differential Transformations to Solve Modified Black–Scholes Fractional Equations

Mathematics
This paper discusses finding solutions to the modified Fractional Black–Scholes equation. As is well known, the options theory is beneficial in the stock market.
Agus Sugandha, Endang Rusyaman, Sukono, Ema Carnia   +3 more
doaj   +1 more source

Convergence Numerically of Trinomial Model in European Option Pricing

International Research Journal of Business Studies, 2013
A European option is a financial contract which gives its holder a right (but not an obligation) to buy or sell an underlying asset from writer at the time of expiry for a pre-determined price.
Entit Puspita, Fitriani Agustina, Ririn Sispiyati   +2 more
doaj   +1 more source

The Development of Fractional Black–Scholes Model Solution Using the Daftardar-Gejji Laplace Method for Determining Rainfall Index-Based Agricultural Insurance Premiums

Mathematics
The Black–Scholes model is a fundamental concept in modern financial theory. It is designed to estimate the theoretical value of derivatives, particularly option prices, by considering time and risk factors. In the context of agricultural insurance, this
Astrid Sulistya Azahra, Muhamad Deni Johansyah, Sukono   +2 more
doaj   +1 more source

The Analytical Solution for the Black-Scholes Equation with Two Assets in the Liouville-Caputo Fractional Derivative Sense

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, Kamonchat Trachoo, Wannika Sawangtong, Benchawan Wiwattanapataphee   +3 more
doaj   +1 more source

Quantum effects in an expanded Black-Scholes model. [PDF]

Eur Phys J B, 2022
Bhatnagar A, Vvedensky DD.
europepmc   +1 more source

Environmental Pollution Liability Insurance Pricing and the Solvency of Insurance Companies in China: Based on the Black-Scholes Model. [PDF]

Int J Environ Res Public Health, 2023
Chen S, Yang J.
europepmc   +1 more source

A family of positive nonstandard numerical methods with application to Black-Scholes equation [PDF]

Sahand Communications in Mathematical Analysis, 2017
Nonstandard finite difference schemes for the Black-Scholes partial differential equation preserving the positivity property are proposed. Computationally simple schemes are derived by using a nonlocal approximation in the reaction term of the Black ...
Mohammad Mehdizadeh Khalsaraei, Nashmil Osmani   +1 more
doaj  

The Black-Scholes type financial models and the arbitrage opportunities

Revista de Matemática: Teoría y Aplicaciones, 2009
Usando el concepto de leyes de conservaci´on, estudiamos ciertos modelos financieros similares al modelo de Black–Scholes. Demostramos que sin limitaciones complementarias tales modelos pueden tener dos o m´as volatilidades.
Nikolay Sukhomlin
doaj   +1 more source