Numerical dolution of a two-asset option valuation PDE by ADI finite difference discretizationNumerical dolution of a two-asset option valuation PDE by ADI finite difference discretization
Faculty of Sciences. Mathematics and Computer Science
Applied mathematics and numerical analysis
2015Melville :Amer inst physics, 2015
APPLIED MATHEMATICS 2014 (ICNAAM-2014)
AIP conference proceedings / American Institute of Physics. - New York
International Conference on Numerical Analysis and Applied Mathematics, (ICNAAM), SEP 22-28, 2014, Rhodes, GREECE
1648(2015), 4 p.
University of Antwerp
The numerical valuation of European two-asset options is considered under the Black-Scholes model. A numerical method is discussed based on FD discretization of the pertinent PDE on nonuniform grids and subsequent discretization in time by ADI schemes. We investigate stability and convergence experimentally for both the option value function and the Cross Gamma function, which is important to nonlinear extensions of the model, beyond the standard Black-Scholes framework.