Suchergebnisse

The Monte Carlo method, largely the brainchild of Stanislaw Ulam and first implemented by John von Neumann , depends upon the use of digital computers and is therefore very much a product of post-WW2 technological developments; even though one could argue that the Buffon's Needle estimate was an ancestor of the technique. The probabilistic nature of the method makes it a good choice for modeling those physical phenomena which involve similarly random motions at the atomic scale; a particularly good example being that of mass diffusion. The present volume comprises a compilation of selected Mon

Some basic theory of finance -- Basic Monte Carlo methods -- Variance reduction techniques -- Simulating the value of options -- Quasi-Monte Carlo multiple integration -- Estimation and calibration -- Sensitivity analysis, estimating derivatives and the Greeks -- Other methods and conclusions