Results 101 to 110 of about 3,326,698 (171)

Approximate Analytical Solution of the Black–Scholes Model with Two Assets Based on the ABC Time-Fractional Derivative

open access: yesAxioms
The classical Black–Scholes model assumes Markovian dynamics and cannot capture the long-range dependence and gradual memory decay observed in real markets.
Kamonchat Trachoo   +2 more
doaj   +1 more source

Fractional Black-Scholes model with regularized Prabhakar derivative

open access: yes, 2017
We introduce a fractional type Black-Scholes model in European options including the regularized Prabhakar derivative. We apply the reconstruction of variational iteration method to get the approximate analytical solutions for some models of ...
Alireza Ansari   +3 more
core   +1 more source

The Fractional OU Process: Term Structure Theory and Application [PDF]

open access: yes
The paper revisits dynamic term structure models (DTSMs) and proposes a new way in dealing with the limitation of the classical affine models. In particular, this paper expands the flexibility of the DTSMs by applying a fractional Brownian motion as the ...
Esben Hoeg, Per Frederiksen
core  

The Fractional Ornstein-Uhlenbeck Process: Term Structure Theory and Application [PDF]

open access: yes
The paper revisits dynamic term structure models (DTSMs) and proposes a new way in dealing with the limitation of the classical affine models. In particular, this paper expands the flexibility of the DTSMs by applying a fractional Brownian motion as the ...
Frederiksen, Per H., Høg, Espen P.
core  

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials. [PDF]

open access: yesSoft comput, 2023
Avazzadeh Z   +5 more
europepmc   +1 more source

Lie Symmetries Of The Black-Scholes Equation

open access: yes, 2010
In this paper symmetry expansions for Black-Scholes equation are studied. Differently then the other studies in the literaTurkishe for Black-Scholes equation, we expanded the equation into a parametric form by adding a coefficient a.
Polat, R.
core   +1 more source

A hybrid method for solution of the fractional black-scholes equation

open access: yes
Bu tez çalışmasında, kesirli mertebeden türeve sahip Black-Scholes (BS) opsiyon fiyatlama denkleminin Conformable Laplace Ayrışım Yöntemi (CLAY) ile çözümüne yer verilmiştir.
Özçiftçi, Ayşe
core  

RISK-FREE INTERNAL GAINS – BLACK AND SCHOLES RE-EXAMINED [PDF]

open access: yes
In this paper we first show that if a not-necessarily-self-financing portfolio has instantaneously riskless internal gains, then on an infinitesimal time-interval, the increase in the internal gains on the portfolio is the same as the change in the price
Gergei Bana
core  

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