A new approach for the black–scholes model with linear and nonlinear volatilities

S Gulen, C Popescu, M Sari - Mathematics, 2019 - mdpi.com
Since financial engineering problems are of great importance in the academic community,
effective methods are still needed to analyze these models. Therefore, this article focuses …

Hedging options in a doubly Markov-modulated financial market via stochastic flows

TK Siu, RJ Elliott - International Journal of Theoretical and Applied …, 2019 - World Scientific
The hedging of a European-style contingent claim is studied in a continuous-time doubly
Markov-modulated financial market, where the interest rate of a bond is modulated by an …

Differential quadrature parallel algorithms for solving systems of convection-diffusion and reaction models

A VS, R TK, A Awasthi - Numerical Algorithms, 2023 - Springer
A procedure to incorporate the domain decomposition concept over the finite difference and
differential quadrature methods is presented. In this procedure, three numerical schemes …

Analytical Pricing Formula Under Three-State Regime-Switching Model

Ö Tekin - 2022 - open.metu.edu.tr
Economic and financial data display diverse behavior at different time intervals due to their
dynamics and stochastic nature. To build explanatory models, different time periods with …

Using Radial Basis Functions to Price Options Under a Regime-Switching Model

KM Hove - 2023 - search.proquest.com
We apply the radial basis function (RBF) collocation method to solve the coupled system of
partial differential equations (PDEs), which arises in modelling derivatives prices with …

Evaluation of lookback options in the Heston model using the finite difference method in Python

ML Schroeter - 2023 - digitalcollection.zhaw.ch
Financial markets consist not only of exchanges for publicly traded assets but also comprise
decisive private financial transactions with various participants. The fair value of some …

[引用][C] A study of some efficient numerical techniques used in pricing options under stochastic volatility models

X Zeng - 2018