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We develop a weak exact simulation technique for a process X defined by a multi-dimensional stochastic differential … equation (SDE). Namely, for a Lipschitz function g, we propose a simulation based approximation of the expectation E[g(X_{t_1 … induced by Elworthy's formula from Malliavin calculus, as exploited by Fournié et al. for the simulation of the Greeks in …
Persistent link: https://www.econbiz.de/10013023831
One-way coupling often occurs in multi-dimensional stochastic models in finance. In this paper, we develop a highly efficient Monte Carlo (MC) method for pricing European options under a N-dimensional one-way coupled model, where N is arbitrary. The method is based on a combination of (i) the...
Persistent link: https://www.econbiz.de/10013029894
In this paper we develop a new form of agent-based model for limit order books based on heterogeneous trading agents, whose motivations are liquidity driven. These agents are abstractions of real market participants, expressed in a stochastic model framework. We develop an efficient way to...
Persistent link: https://www.econbiz.de/10013030178
Persistent link: https://www.econbiz.de/10013041036
. Theoretical and simulation results show that, in some instances, our method outperforms the standard Monte Carlo method by a …
Persistent link: https://www.econbiz.de/10012987054
This first part of this presentation gives an introduction to stochastic automatic differentiation and its application.The second part of the presentation introduces a simple "static hedge" approximation for an SIMM based MVA and compares it with an exact solution (where the exact solution was...
Persistent link: https://www.econbiz.de/10012909792
We propose a set of new algorithms based on stochastic localization methods for large-scale discrete simulation … adaptive algorithm with an expected simulation cost asymptotically independent of the problem scale, which is proved to attain … stochastic cutting-plane algorithms, the simulation costs of which have no dependence on model parameters such as the Lipschitz …
Persistent link: https://www.econbiz.de/10013242412
Why Do We Simulate? -- Simulation Programming: Quick Start -- Examples -- Simulation Programming with VBASim -- Two … Views of Simulation -- Simulation Input -- Simulation Output -- Experiment Design and Analysis -- Simulation for Research …This graduate-level text covers modeling, programming and analysis of simulation experiments and provides a rigorous …
Persistent link: https://www.econbiz.de/10014016471
Computational Techniques for Modelling Learning in Economics offers a critical overview of the computational techniques that are frequently used for modelling learning in economics. It is a collection of papers, each of which focuses on a different way of modelling learning, including the...
Persistent link: https://www.econbiz.de/10013518846
simulation. Two classes of tests are considered: versions of the likelihood ratio test and the robust Wald test which is based on …
Persistent link: https://www.econbiz.de/10013519732