Results 21 to 30 of about 33,051 (160)
On the Generation of Infinitely Many Conservation Laws of the Black-Scholes Equation
Computation, 2020 Construction of conservation laws of differential equations is an essential part of the mathematical study of differential equations. In this paper we derive, using two approaches, general formulas for finding conservation laws of the Black-Scholes ...
Winter Sinkala
doaj +1 more source
On a Free Boundary Problem for American Options Under the Generalized Black–Scholes Model
Mathematics, 2020 We consider the problem of pricing American options using the generalized Black–Scholes model. The generalized Black–Scholes model is a modified form of the standard Black–Scholes model with the effect of interest and consumption rates.
Jung-Kyung Lee
doaj +1 more source
Lie Symmetry Analysis of a First-Order Feedback Model of Option Pricing
Advances in Mathematical Physics, 2015 A first-order feedback model of option pricing consisting of a coupled system of two PDEs, a nonliner generalised Black-Scholes equation and the classical Black-Scholes equation, is studied using Lie symmetry analysis.
Winter Sinkala, Tembinkosi F. Nkalashe
doaj +1 more source
Alexandria Engineering Journal, 2023 Trivially, the time-fractional Black–Scholes (FBS) equation is utilized to describe the behavior of the option pricing in financial markets. This work is intended as an attempt to introduce the ψ-Hilfer fractional Black–Scholes (ψ-HFBS) equation.
F. Mohammadizadeh +4 more
doaj +1 more source
On the solution of two-dimensional fractional Black–Scholes equation for European put option
Advances in Difference Equations, 2020 The purpose of this paper was to investigate the dynamics of the option pricing in the market through the two-dimensional time fractional-order Black–Scholes equation for a European put option.
Din Prathumwan, Kamonchat Trachoo
doaj +1 more source
Risks, 2023 This research article provides criticism and arguments why the canonical framework for derivatives pricing is incomplete and why the delta-hedging approach is not appropriate.
Jussi Lindgren
doaj +1 more source
Understanding How Dividends Affect Option Prices [PDF]
, 2016 In this paper, we propose a pricing model for stock option valuation. The model is derived from the classical Black-Scholes option pricing equation via the application of the constant elasticity of variance (CEV) model with dividend yield.
Edeki, S.O. +2 more
core +1 more source
Efficient Markets and Contingent Claims Valuation: An Information Theoretic Approach
Entropy, 2020 This research article shows how the pricing of derivative securities can be seen from the context of stochastic optimal control theory and information theory.
Jussi Lindgren
doaj +1 more source
Symmetry reduction and exact solutions of the non-linear Black--Scholes equation
, 2018 In this paper, we investigate the non-linear Black--Scholes equation: $$u_t+ax^2u_{xx}+bx^3u_{xx}^2+c(xu_x-u)=0,\quad a,b>0,\ c\geq0.$$ and show that the one can be reduced to the equation $$u_t+(u_{xx}+u_x)^2=0$$ by an appropriate point transformation ...
Kovalenko, Sergii, Patsiuk, Oleksii
core +1 more source
Time Integrals Under the Black–Scholes–Merton and Margrabe Economies
Journal of Futures Markets, EarlyView.ABSTRACT The problem of integrating the Black, Scholes, and Merton (BSM) formula with respect to the time variable is paramount for an economist. Inspired by the real options literature, Shackleton and Wojakowski offer analytic formulae for valuing finite maturity (profit) caps and floors that are contingent on continuous flows following a lognormal ...
José Carlos Dias +3 more
wiley +1 more source