We establish some error estimates for the approximation of an optimal stopping problem along the paths of the Black–Scholes model. This approximation is based on a tree method. Moreover, we give a global approximation result for the related obstacle problem.
In this article we prove new results concerning the structure and the stability properties of the global attractor associated with a class of nonlinear parabolic stochastic partial differential equations driven by a standard multidimensional brownian motion. We first use monotonicity methods to prove that the random fields either stabilize exponentially rapidly with probability one around one of the two equilibrium states, or that they set out to oscillate between them. In the first case we can...
We establish some error estimates for the approximation of an
optimal stopping problem along the paths of the Black–Scholes
model. This approximation is based on a tree method. Moreover, we
give a global approximation result for the related obstacle
problem.
In this article we prove new results concerning the
structure and the stability properties of the global attractor associated
with a class of nonlinear parabolic stochastic partial differential equations
driven by a standard multidimensional Brownian motion.
We first use monotonicity methods
to prove that the random fields either stabilize exponentially rapidly with
probability one around one of the two equilibrium states, or that they set out
to oscillate between them. In the first case we can...
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