Academic Journals Database
Disseminating quality controlled scientific knowledge

Determining European Options Values through Crank-Nicolson Method

ADD TO MY LIST
 
Author(s): Sorin MANOLE | Ion LUNGU

Journal: Informatica Economica Journal
ISSN 1453-1305

Volume: X;
Issue: 2;
Start page: 143;
Date: 2006;
VIEW PDF   PDF DOWNLOAD PDF   Download PDF Original page

Keywords: European options | values of an option | Crank – Nicolson Method | LU algorithm | Gauss method | Jacobi method | Gauss – Seidel method | method of successive over-relaxations

ABSTRACT
Options are nowadays transacted within a lot of stock exchanges worldwide. The problem of options gets a special importance due to the fact that many of the managerial decisions can be assimilated to options. The paper deals with numerical methods of financial options evaluation. The mathematical model of determining the values of an option of European type is partial differential equation with an initial condition and two boundaries conditions, and for its solving, finite differences methods can be used. Out of these methods, the Crank-Nicolson method is proposed to be used. As Crank-Nicolson method is an implicit one, applying it leads to a linear system of equations, for whose solving the LU algorithm, Gauss method, Jacobi method, Gauss – Seidel method, method of successive over-relaxations are used.
Affiliate Program      Why do you need a reservation system?