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 a
Numerical analysis and computing for option pricing models in illiquid markets
✍ Scribed by Rafael Company; Lucas Jódar; José-Ramón Pintos
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 324 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
Nowadays market liquidity has become an issue of very high concern in financial risk management. This paper deals with the numerical analysis and computing of nonlinear models of option pricing that appear when illiquid market effects are taken into account. A consistent monotone finite difference scheme is proposed and a relationship between the discretization step size is obtained, ensuring nonnegative and stable numerical solutions and avoiding spurious oscillations.
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This paper deals with the numerical analysis and computing of a nonlinear model of option pricing appearing in illiquid markets with observable parameters for derivatives. A consistent monotone finite difference scheme is proposed and a stability condition on the stepsize discretizations is given.