Results 11 to 20 of about 58,494 (220)

On a Free Boundary Problem for American Options Under the Generalized Black–Scholes Model

open access: yesMathematics, 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

Studying a Tumor Growth Partial Differential Equation via the Black–Scholes Equation

open access: yesComputation, 2020
Two equations are considered in this paper—the Black–Scholes equation and an equation that models the spatial dynamics of a brain tumor under some treatment regime. We shall call the latter equation the tumor equation.
Winter Sinkala, Tembinkosi F. Nkalashe
doaj   +1 more source

The practical framework of the Black-Scholes model of pricing a european call option: economical and mathematical interpretation

open access: yesActa Economica, 2014
Starting in 1973 with publishing the paper The pricing of Options and Corporate Liabilities, Fischer Black and Myron Scholes made a revolution in the world of fnances.
Драган Јањић
doaj   +1 more source

The Modified Black-Scholes Model via Constant Elasticity of Variance for Stock Options Valuation [PDF]

open access: yes, 2016
In this paper, the classical Black-Scholes option pricing model is visited. We present a modified version of the Black-Scholes model via the application of the constant elasticity of variance model (CEVM); in this case, the volatility of the stock ...
Edeki, S.O.   +2 more
core   +1 more source

Black–Scholes model under subordination [PDF]

open access: yesPhysica A: Statistical Mechanics and its Applications, 2003
In this paper we consider a new mathematical extension of the Black-Scholes model in which the stochastic time and stock share price evolution is described by two independent random processes. The parent process is Brownian, and the directing process is inverse to the totally skewed, strictly -stable process.
openaire   +2 more sources

The modified homotopy perturbation method and its application to the dynamics of price evolution in Caputo-fractional order Black Scholes model

open access: yesBeni-Suef University Journal of Basic and Applied Sciences, 2023
Background Following a financial loss in trades due to lack of risk management in previous models from market practitioners, Fisher Black and Myron Scholes visited the academic setting and were able to mathematically develop an option pricing equation ...
Adedapo Ismaila Alaje   +5 more
doaj   +1 more source

Black-Scholes Flexibility of European Companies in the Digital Age [PDF]

open access: yesSHS Web of Conferences, 2021
Research background: “How much is flexibility worth?” This question is the title of one of almost countless contributions. In these, procedures are discussed with which existing room for manoeuvres in corporate management can be quantitatively mapped ...
Uzik Martin, Runge Christopher
doaj   +1 more source

Capturing the volatility smile: parametric volatility models versus stochastic volatility models [PDF]

open access: yesPublic and Municipal Finance, 2016
Black-Scholes option pricing model (1973) assumes that all option prices on the same underlying asset with the same expiration date, but different exercise prices should have the same implied volatility.
Belen Blanco
doaj   +1 more source

Lie Symmetry Analysis of a First-Order Feedback Model of Option Pricing

open access: yesAdvances 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

Pricing formula for exchange option in fractional black-scholes model with jumps [PDF]

open access: yesJournal of Hyperstructures, 2014
In this paper pricing formula for exchange option in a fractional Black-Scholes model with jumps is derived. We found out some errors in proof of pricing formula for European call option [7]. At first we revise these errors and then extend this result to
Kyong-Hui Kim   +2 more
doaj   +1 more source

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