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Numerical analysis and simulation of option pricing problems modeling illiquid markets

✍ Scribed by R. Company; L. Jódar; E. Ponsoda; C. Ballester

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
386 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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