A put option's value for a nonlinear black-scholes equation [PDF]
We study a nonlinear Black-Scholes partial differential equation for modelling illiquid markets with feedback effects. After reducing the equation into a second-order nonlinear partial differential equation, we find that the assumption of a traveling ...
Esekon, Joseph E +1 more
core
Cubic Trigonometric B-spline Collocation Approach for Black-Scholes Method
A cubic trigonometric B-spline collocation approach is developed for the numerical solution of Black-Scholes equation governing European option pricing.
WU Bei-Bei, YIN Jun-Feng, JIN Meng
doaj
Numerical Solution of Nonlinear Black – Scholes Equation by Accelerated Genetic Algorithm [PDF]
In this paper we using an accelerated genetic algorithm to find the numerical solution of the nonlinear versions of the standard Black–Scholes partial differential equation with stochastic volatility (transaction coast) for European call option .
Alrajhi, Yaseen Merzah +1 more
core +1 more source
On exact null controllability of Black-Scholes equation [PDF]
summary:In this paper we discuss the exact null controllability of linear as well as nonlinear Black–Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the ...
Sowrirajan, Rangarajan +3 more
core
Numerical solution of Black-Scholes equation with radialbasis functions [PDF]
Black-Scholes denkleminin Radyal Temelli Fonksiyonlar (RBF) kullanılarak çözülmesi, özellikle sayısal çözümler için önemli bir yöntemdir. RBF'ler, genellikle diferansiyel denklemlerin çözümünde kullanılan güçlü bir araçtır.
Kuzu, Buse Nisa
core
A Galerkin approximation scheme for the mean correction in a mean-reversion stochastic differential equation [PDF]
This paper is concerned with the following Markovian stochastic dierential equation of mean-reversion type dRt = ( + (Rt; t))Rtdt + RtdBt with an initial value R0 = r0 2 R, where 2 R and > 0 are constants, and the mean correction function : R [0; 1) 7 ...
Wu, JiangLun, Yang, Wei
core
Quantum effects in an expanded Black-Scholes model. [PDF]
Bhatnagar A, Vvedensky DD.
europepmc +1 more source
The Black-Scholes-Merton dual equation [PDF]
We derive the Black-Scholes-Merton dual equation, which has exactly the same form as the Black-Scholes-Merton equation. The novel and general equation works for options with a payoff of homogeneous of degree one, including European, American, Bermudan ...
Guo, Shuxin, Liu, Qiang
core +1 more source
Learning variable-order time fractional diffusion equations using Physics-Informed Neural Networks. [PDF]
Ren L, Jin S.
europepmc +1 more source
Unlocking the financing potential of forest-based carbon assets: a valuation framework for pledge lending under uncertainty in China. [PDF]
Zhang Y, Zhang J.
europepmc +1 more source

