Results 71 to 80 of about 33,051 (160)

Evaluation of Options using the Black-Scholes Methodology

Expert Journal of Economics, 2019
This paper discusses how to obtain the Black-Scholes equation to evaluate options and how to obtain explicit solutions for Call and Put. The Black-Scholes equation, which is the basis for determining explicit solutions for Call and Put, is a rather ...
Vasile BRĂTIAN
doaj  

Vulnerable options pricing under uncertain volatility model

Journal of Inequalities and Applications, 2019
In this paper, we consider the pricing problem of options with counterparty default risks. We study the asymptotic behavior of vulnerable option prices in the worst case scenario under an uncertain volatility model which contains both corporate assets ...
Qing Zhou, Xiaonan Li
doaj   +1 more source

On the complete model with stochastic volatility by Hobson and Rogers [PDF]

We examine a recent model, proposed by Hobson and Rogers, which generalizes the classical one by Black and Scholes for pricing derivative securities such as options and futures.
Andrea Pascucci, Marco Di Francesco
core  

Application of Microlocal Analysis to an Inverse Problem Arising from Financial Markets [PDF]

, 2014
One of the most interesting problems discerned when applying the Black--Scholes model to financial derivatives, is reconciling the deviation between expected and observed values.
Doi, Shin-ichi, Ota, Yasushi
core  

Accurate and Efficient Computations of the Greeks for Options Near Expiry Using the Black-Scholes Equations

Discrete Dynamics in Nature and Society, 2016
We investigate the accurate computations for the Greeks using the numerical solutions of the Black-Scholes partial differential equation. In particular, we study the behaviors of the Greeks close to the maturity time and in the neighborhood around the ...
Darae Jeong, Minhyun Yoo, Junseok Kim
doaj   +1 more source

The Pricing of Derivatives on Assets with Quadratic Volatility [PDF]

The basic model of financial economics is the Samuelson model of geometric Brownian motion because of the celebrated Black-Scholes formula for pricing the call option. The asset's volatility is a linear function of the asset value and the model garantees
Christian Zühlsdorff
core  

Modified Heisenberg Commutation Relations, Free Schrödinger Equations, Tunnel Effect and Its Connections with the Black–Scholes Equation

Axioms
This paper explores the implications of modifying the canonical Heisenberg commutation relations over two simple systems, such as the free particle and the tunnel effect generated by a step-like potential.
Mauricio Contreras González, Roberto Ortiz Herrera, José González Suárez   +2 more
doaj   +1 more source

Solving the Black-Scholes Partial Differential Equation via the Solution Method for a One-Dimensional Heat Equation: A Pedagogic Approach with a Spreadsheet-Based Illustration

Spreadsheets in Education, 2019
The derivation of the Black-Scholes option pricing model, if covered in detail, is by far the most complicated among all major models in the finance curriculum.
Clarence C. Y. Kwan
doaj  

Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets

International Journal of Mathematics and Mathematical Sciences
We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
Winter Sinkala
doaj   +1 more source

The Riccati System and a Diffusion-Type Equation

Mathematics, 2014
We discuss a method of constructing solutions of the initial value problem for diffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonautonomous Burgers-type equation is also considered. Examples include, but are
Erwin Suazo, Sergei K. Suslov, José M. Vega-Guzmán   +2 more
doaj   +1 more source