Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471004 | Computers & Mathematics with Applications | 2010 | 12 Pages |
Abstract
This paper deals with the numerical analysis and simulation of nonlinear Black–Scholes equations modeling illiquid markets where the implementation of a dynamic hedging strategy affects the price process of the underlying asset. A monotone difference scheme ensuring nonnegative numerical solutions and avoiding unsuitable oscillations is proposed. Stability properties and consistency of the scheme are studied and numerical simulations involving changes in the market liquidity parameter are included.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
R. Company, L. Jódar, E. Ponsoda, C. Ballester,