A Bilinear Pseudo-spectral Method for Solving Two-asset European and American Pricing Options

M Khasi, J Rashidinia - Computational Economics, 2024 - Springer
This paper presents a bilinear Chebyshev pseudo-spectral method to compute European
and American option prices under the two-asset Black–Scholes and Heston models. We …

Analytical solution of black-scholes model for pricing barrier option using method of partial Taylor series expansion

GM Sobamowo - Earthline Journal of Mathematical …, 2022 - earthlinepublishers.com
Abstract In this work, Black-Scholes differential equation for barrier/traditional option is
solved using partial Taylor series expansion method. The developed solutions are in very …

[HTML][HTML] Comment on “Removing non-smoothness in solving Black-Scholes equation using a perturbation method”

FM Fernández - Physics Letters A, 2022 - Elsevier
Comment on “Removing non-smoothness in solving Black-Scholes equation using a
perturbation method” - ScienceDirect Skip to main contentSkip to article Elsevier logo …

Pricing basket put option with correlation factor using homotopy perturbation method

NMD Pratiwi, ERM Putri, A Hakam… - AIP Conference …, 2024 - pubs.aip.org
A basket option is an option that has received attention from investors because of its ability
to manage risks and gain exposure to a set of assets simultaneously. The complexity of …

Numerical Solution of European Put Option for Black-Scholes Model Using Keller Box Method

L Mardianto, G Putra, BI Pratama… - Jurnal Matematika …, 2024 - jmua.fmipa.unand.ac.id
In this study, we propose to determine option pricing by using Black-Scholes model
numerically. The Keller box method, a numerical method with a box-shaped implicit scheme …

A Moving Average Genetic Algorithm (MA-GA) for Estimating the COVID-19 Dynamic Based on a Stochastic SIRD Model

ERM Putri, AEW Widianto, A Hakam… - … on Mathematics: Pure …, 2023 - Springer
In this study, we examine the transmission of the COVID-19 outbreak using a constructed
SIRD stochastic model. To determine the most appropriate model parameters, three …

[PDF][PDF] A Study on Black-Scholes Differential Equation for Option Pricing for Generalized Modified Log Payoff functions using Method of Partial Taylor Series Expansion

G Sobamowo - 2022 - researchgate.net
In this paper, Black–Scholes partial differential equation for generalized modified log payoff
(ML-Payoff) functions is solved using a new proposed method called partial Taylor series …

[PDF][PDF] Exact Solutions of Partial Differential Equation of Black-Scholes Option Pricing Model using Partial Taylor Series Expansion Method

GM Sobamowo - Reading Time - worldscientificnews.com
In this paper, a new series solution method called partial Taylor series expansion method is
introduced for solving partial differential equations. The method is used in the present work …

A General Solution of Black–Scholes Equations on Some Rainbow Options

A Hakam, ERM Putri, L Mardianto - International Conference on …, 2023 - Springer
This study proposes a general solution of the Black–Scholes equation to determine some
Rainbow options' prices, both analytically and semi-analytically. We formulate general …

Analytical Solutions of Black-Scholes Partial Differential Equation of Pricing for Valuations of Financial Options using Hybrid Transformation Methods

ZO Dere, GM Sobamowo… - The Journal of …, 2022 - periodicos.ufv.br
Black–Scholes partial differential equation is a generally acceptable model in financial
markets for option pricing. However, without variable transformations, the provision of …