Paul Glasserman - Böcker

Monte Carlo Methods are among the most broadly applicable and thus most powerful tools for valuing derivative securities and measuring their risks. As computer speeds continue to increase and new research expands the scope and efficiency of these methods, their use is destined to grow. This book is devoted to the use of Monte Carlo methods in finance. Advances in Monte Carlo methods in financial engineering take place at the interface between academic research and industry practice. This book targets that interface developing theory closely tied to applications. It is roughly divided into three parts: the first three chapters concentrate on the basics of Monte Carlo methods; the next three develop ways to improve Monte Carlo methods; and the final four chapters deal with more specialized problems arising, in particular applications of Monte Carlo to financial engineering. This book will serve as a reference for practitioners and researchers and will also be suitable as a graduate text for courses on computational finance.

Two of the most exciting topics of current research in stochastic networks are the complementary subjects of stability and rare events. Both are classical topics that have experienced renewed interest motivated by new applications to emerging technologies. For example, new stability issues arise in the scheduling of multiple classes in semiconductor manufacturing, the so-called "re-entrant lines," and a prominent need for studying rare events is associated with the design of telecommunication systems using the new ATM (asynchronous transfer mode) technology so as to guarantee quality of service. The objective of this volume is to present a sample of recent research problems, methodologies, and results in these two exciting and burgeoning areas. This volume originated from a workshop held at Columbia University in 1995 organized by Columbia's Center for Applied Probability.

Information previously available only in journal articles and research papers has been brought together in this outstanding text. Uses the unifying theme of monotone structure to transcend the two-perspective approach to DES--one stressing logical/qualitative issues and the other temporal/quantitative analysis--to encompass elements from both. Features notes and references at the end of each chapter.

These applications have, in turn, stimulated research into new Monte Carlo methods and renewed interest in some older techniques.This book develops the use of Monte Carlo methods in finance and it also uses simulation as a vehicle for presenting models and ideas from financial engineering.